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Harmony search algorithm with differential evolution based control parameter co-evolution and its application in chemical process dynamic optimization 被引量:1
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作者 范勤勤 王循华 颜学峰 《Journal of Central South University》 SCIE EI CAS CSCD 2015年第6期2227-2237,共11页
A modified harmony search algorithm with co-evolutional control parameters(DEHS), applied through differential evolution optimization, is proposed. In DEHS, two control parameters, i.e., harmony memory considering rat... A modified harmony search algorithm with co-evolutional control parameters(DEHS), applied through differential evolution optimization, is proposed. In DEHS, two control parameters, i.e., harmony memory considering rate and pitch adjusting rate, are encoded as a symbiotic individual of an original individual(i.e., harmony vector). Harmony search operators are applied to evolving the original population. DE is applied to co-evolving the symbiotic population based on feedback information from the original population. Thus, with the evolution of the original population in DEHS, the symbiotic population is dynamically and self-adaptively adjusted, and real-time optimum control parameters are obtained. The proposed DEHS algorithm has been applied to various benchmark functions and two typical dynamic optimization problems. The experimental results show that the performance of the proposed algorithm is better than that of other HS variants. Satisfactory results are obtained in the application. 展开更多
关键词 harmony search differential evolution optimization CO-evolution self-adaptive control parameter dynamic optimization
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The effects of orientation control via tension-compression on microstructural evolution and mechanical behavior of AZ31 Mg alloy sheet 被引量:15
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作者 Qingshan Yang Bin Jiang +5 位作者 Bo Song Zujian Yu Dewei He Yanfu Chai Jianyue Zhang Fusheng Pan 《Journal of Magnesium and Alloys》 SCIE EI CAS CSCD 2022年第2期446-458,共13页
The grain orientation control via twinning activity on deformation features is of great significance to offer a key insight into understanding the deformation mechanism of Mg alloy sheets.The{10–12}twinning were perf... The grain orientation control via twinning activity on deformation features is of great significance to offer a key insight into understanding the deformation mechanism of Mg alloy sheets.The{10–12}twinning were performed by pre-strain paths,i.e.,tension(6%)and compression(5%)perpendicular to the c-axis along extrusion direction(ED),to investigate the microstructural evolution and mechanical properties of AZ31 Mg alloy sheets.The distinction in the texture evolution and strain hardening behavior was illustrated in connection with the pre-strain paths for the activities of twinning and slip.The result shows that the activation of the deformation mode was closely bound up with the grain orientation and the additional applied load direction.The{10–12}twin-texture components with c-axis//ED were generated by precompression,which can provide an appropriate alternative to accommodate the thin sheet thickness strain and enhance the room temperature formability of Mg alloy sheet. 展开更多
关键词 Mg alloy Orientation control Microstructural evolution TEXTURE Stretch formability
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The evolution of the Huangling uplift and its control on the accumulation and preservation of shale gas 被引量:12
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作者 Shu-jing Bao Gang-yi Zhai +5 位作者 Zhi Zhou Shu-fang Yu Ke Chen Yu-fang Wang Hao Wang Yi-min Liu 《China Geology》 2018年第3期346-353,共8页
There are plenty of Sinian and Cambrian potential shale gas resources in South China,which is characterized by high thermal evolution degrees,poor drilling performances and only occurs in local areas.Taking the princi... There are plenty of Sinian and Cambrian potential shale gas resources in South China,which is characterized by high thermal evolution degrees,poor drilling performances and only occurs in local areas.Taking the principle “high to find low” is the key issue to achieving a breakthrough in older shale.China Geological Survey drilled in the periphery of the Proterozoic basement,i.e.the Huangling anticline,in the western Hubei,and Hannan paleocontinent in the southern Shanxi.It received high-quality gas-bearing shale with relatively low Ro in the in Lower Cambrian Niutitang formation and Sinian Doushantuo formation.Based on geological conditions of shale gas reservoirs in the Huangling anticline,this paper puts forward the new model named “Control over reservoirs by periphery of basement” about shale gas accumulation,suggesting that the shale deposited in a deepwater continental shelf in the periphery of the basement is characterized by shallow burial,a short burial time,stable tectonics,relatively low thermal evolution degrees,and shale gas reservoirs in a good condition.The shale of the Sinian-Cambrian strata deposited in deepwater continental shelves in the periphery of Chuanzhong paleo-uplift in Sichuan,Hannan paleocontinent in the southern Shanxi,Huangling anticline in western Hubei and Jiangnang-Xuefeng paleo-uplift in Hunan and Guizhou province have good shale gas exploration potential. 展开更多
关键词 Huangling UPLIFT evolution SHALE gas control on the ACCUMULATION PRESERVATION
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Inverse Optimal Control of Evolution Systems and Its Application to Extensible and Shearable Slender Beams 被引量:1
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作者 K.D.Do A.D.Lucey 《IEEE/CAA Journal of Automatica Sinica》 SCIE EI CSCD 2019年第2期395-409,共15页
An optimal(practical) stabilization problem is formulated in an inverse approach and solved for nonlinear evolution systems in Hilbert spaces. The optimal control design ensures global well-posedness and global practi... An optimal(practical) stabilization problem is formulated in an inverse approach and solved for nonlinear evolution systems in Hilbert spaces. The optimal control design ensures global well-posedness and global practical K∞-exponential stability of the closed-loop system, minimizes a cost functional,which appropriately penalizes both state and control in the sense that it is positive definite(and radially unbounded) in the state and control, without having to solve a Hamilton-Jacobi-Belman equation(HJBE). The Lyapunov functional used in the control design explicitly solves a family of HJBEs. The results are applied to design inverse optimal boundary stabilization control laws for extensible and shearable slender beams governed by fully nonlinear partial differential equations. 展开更多
关键词 BOUNDARY control evolution system HILBERT space INVERSE optimal control slender BEAMS
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Dynamic Optimization of Handover Parameters Adjustment for Conflict Avoidance in Long Term Evolution 被引量:2
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作者 李云 李曼 +2 位作者 曹傧 王勇 刘文晶 《China Communications》 SCIE CSCD 2013年第1期56-71,共16页
In order to achieve dynamical optimization of mobility load balancing,we analyze the conflict between mobility load balancing and mobility robustness optimization caused by the improper operation of handover parameter... In order to achieve dynamical optimization of mobility load balancing,we analyze the conflict between mobility load balancing and mobility robustness optimization caused by the improper operation of handover parameters.To this end,a method of Handover Parameters Adjustment for Conflict Avoidance(HPACA)is proposed.Considering the movement of users,HPCAC can dynamically adjust handover range to optimize the mobility load balancing.The movement of users is an important factor of handover,which has a dramatic impact on system performance.The numerical evaluation results show the proposed approach outperforms the existing method in terms of throughput,call blocking ratio,load balancing index,radio link failure ratio,ping-pong handover ratio and call dropping ratio. 展开更多
关键词 Long Term evolution self-organizing network dynamically adjusting handover range time to trigger hysteresisparameter
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Novel Control Vector Parameterization Method with Differential Evolution Algorithm and Its Application in Dynamic Optimization of Chemical Processes 被引量:2
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作者 孙帆 钟伟民 +1 位作者 程辉 钱锋 《Chinese Journal of Chemical Engineering》 SCIE EI CAS CSCD 2013年第1期64-71,共8页
Two general approaches are adopted in solving dynamic optimization problems in chemical processes, namely, the analytical and numerical methods. The numerical method, which is based on heuristic algorithms, has been w... Two general approaches are adopted in solving dynamic optimization problems in chemical processes, namely, the analytical and numerical methods. The numerical method, which is based on heuristic algorithms, has been widely used. An approach that combines differential evolution (DE) algorithm and control vector parameteri- zation (CVP) is proposed in this paper. In the proposed CVP, control variables are approximated with polynomials based on state variables and time in the entire time interval. Region reduction strategy is used in DE to reduce the width of the search region, which improves the computing efficiency. The results of the case studies demonstrate the feasibility and efficiency of the oroposed methods. 展开更多
关键词 control vector pararneterization differential evolution algorithm dynamic optimization chemical processes
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Novel Adaptive Memory Event-Triggered-Based Fuzzy Robust Control for Nonlinear Networked Systems via the Differential Evolution Algorithm
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作者 Wei Qian Yanmin Wu Bo Shen 《IEEE/CAA Journal of Automatica Sinica》 SCIE EI CSCD 2024年第8期1836-1848,共13页
This article mainly investigates the fuzzy optimization robust control issue for nonlinear networked systems characterized by the interval type-2(IT2)fuzzy technique under a differential evolution algorithm.To provide... This article mainly investigates the fuzzy optimization robust control issue for nonlinear networked systems characterized by the interval type-2(IT2)fuzzy technique under a differential evolution algorithm.To provide a more reasonable utilization of the constrained communication channel,a novel adaptive memory event-triggered(AMET)mechanism is developed,where two event-triggered thresholds can be dynamically adjusted in the light of the current system information and the transmitted historical data.Sufficient conditions with less conservative design of the fuzzy imperfect premise matching(IPM)controller are presented by introducing the Wirtinger-based integral inequality,the information of membership functions(MFs)and slack matrices.Subsequently,under the IPM policy,a new MFs intelligent optimization technique that takes advantage of the differential evolution algorithm is first provided for IT2 TakagiSugeno(T-S)fuzzy systems to update the fuzzy controller MFs in real-time and achieve a better system control effect.Finally,simulation results demonstrate that the proposed control scheme can obtain better system performance in the case of using fewer communication resources. 展开更多
关键词 Adaptive memory event-triggered(AMET) differential evolution algorithm fuzzy optimization robust control interval type-2(IT2)fuzzy technique.
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Tectonic-Thermal Evolution History and Its Controls on Petroleum Geology of Weibei Uplift 被引量:2
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作者 YANG Peng REN Zhanli +2 位作者 XIA Bin LIU Weiliang HUANG Qiangtai 《Acta Geologica Sinica(English Edition)》 SCIE CAS CSCD 2017年第S1期144-145,共2页
1 Introduction The Weibei Uplift is located in the southwest of the North China Plate,where is the stable block(the Ordos Block)in the north and the active belt(the QinlingOrogenic Belt)in the south(Ren et al,2014,201... 1 Introduction The Weibei Uplift is located in the southwest of the North China Plate,where is the stable block(the Ordos Block)in the north and the active belt(the QinlingOrogenic Belt)in the south(Ren et al,2014,2015).And the belt is separated from the Weihe basin.The Weibei uplift has a uniform crystalline basement with the North 展开更多
关键词 area Tectonic-Thermal evolution History and Its controls on Petroleum Geology of Weibei Uplift
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Overburden fracture evolution laws and water-controlling technologies in mining very thick coal seam under water-rich roof 被引量:8
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作者 Zhang Youxi Tu Shihao +1 位作者 Bai Qingsheng Li Jianjun 《International Journal of Mining Science and Technology》 SCIE EI 2013年第5期693-700,共8页
Considering the danger of water inrush in mining very thick coal seam under water-rich roof in Majialiang Coal Mine,the universal discrete element(UDEC)software was used to simulate the overburden fracture evolution l... Considering the danger of water inrush in mining very thick coal seam under water-rich roof in Majialiang Coal Mine,the universal discrete element(UDEC)software was used to simulate the overburden fracture evolution laws when mining 4#coal seam.Besides,this study researched on the influence of face advancing length,speed and mining height on the height of the water flowing fractured zones(HWFFZ),and analyzed the correlation of face advancing length and change rules of aquifer water levels and goaf water inflow.Based on those mentioned above,this research proposed the following water-controlling technologies:draining the roof water before mining,draining goaf water,reasonable advancing speed and mining thickness.These water-controlling technologies were successfully used in the feld,thus ensured safely mining the very thick coal seam under water-rich roof. 展开更多
关键词 Water-rich roof Very thick coal seam Mining induced fracture evolution law Water-controlling technology
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Stability in Probability and Inverse Optimal Control of Evolution Systems Driven by Levy Processes
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作者 Khac Duc Do 《IEEE/CAA Journal of Automatica Sinica》 EI CSCD 2020年第2期405-419,共15页
This paper first develops a Lyapunov-type theorem to study global well-posedness(existence and uniqueness of the strong variational solution)and asymptotic stability in probability of nonlinear stochastic evolution sy... This paper first develops a Lyapunov-type theorem to study global well-posedness(existence and uniqueness of the strong variational solution)and asymptotic stability in probability of nonlinear stochastic evolution systems(SESs)driven by a special class of Levy processes,which consist of Wiener and compensated Poisson processes.This theorem is then utilized to develop an approach to solve an inverse optimal stabilization problem for SESs driven by Levy processes.The inverse optimal control design achieves global well-posedness and global asymptotic stability of the closed-loop system,and minimizes a meaningful cost functional that penalizes both states and control.The approach does not require to solve a Hamilton-Jacobi-Bellman equation(HJBE).An optimal stabilization of the evolution of the frequency of a certain genetic character from the population is included to illustrate the theoretical developments. 展开更多
关键词 evolution system inverse optimal control Levy processes stability in probability WELL-POSEDNESS
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Existence and Controllability Result for Nonlinear Neutral Evolution Integrodifferential Systems
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作者 吕悦 刘明姬 吕显瑞 《Northeastern Mathematical Journal》 CSCD 2008年第1期54-62,共9页
In this paper, we establish sufficient conditions for existence and controllability of nonlinear neutral evolution integroditferential systems in Banach spaces. The result is obtained by using the resolvent operators ... In this paper, we establish sufficient conditions for existence and controllability of nonlinear neutral evolution integroditferential systems in Banach spaces. The result is obtained by using the resolvent operators and fixed point analysis approach. 展开更多
关键词 mild solution controlLABILITY resolvent operator neutral evolution integrodifferential system Banach fixed point theorem
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Sedimentary evolution and control factors of the Rizhao Canyons in the Zhongjiannan Basin, western South China Sea
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作者 Meijing Sun Yongjian Yao +5 位作者 Weidong Luo Jie Liu Xiaosan Hu Jiao Zhou Dong Ju Ziying Xu 《Acta Oceanologica Sinica》 SCIE CAS CSCD 2023年第9期16-26,共11页
Submarine canyon is an important channel for long-distance sediment transport, and an important part of deepwater sedimentary system. The large-scale Rizhao Canyons have been discovered for the first time in 2015 in t... Submarine canyon is an important channel for long-distance sediment transport, and an important part of deepwater sedimentary system. The large-scale Rizhao Canyons have been discovered for the first time in 2015 in the continental slope area of the western South China Sea. Based on the interpretation and analysis of multi-beam bathymetry and two-dimensional multi-channel seismic data, the geology of the canyons has however not been studied yet. In this paper, the morphology and distribution characteristics of the canyon are carefully described,the sedimentary filling structure and its evolution process of the canyon are analyzed, and then its controlling factors are discussed. The results show that Rizhao Canyons group is a large slope restricted canyon group composed of one east-west west main and nine branch canyons extending to the south. The canyon was formed from the late Miocene to the Quaternary. The east-west main canyon is located in the transition zone between the northern terrace and the southern Zhongjiannan Slope, and it is mainly formed by the scouring and erosion of the material source from the west, approximately along the slope direction. Its development and evolution is mainly controlled by sediment supply and topographic conditions, the development of 9 branch canyons is mainly controlled by gravity flow and collapse from the east-west main canyon. This understanding result is a supplement to the study of “source-channel–sink” sedimentary system in the west of the South China Sea, and has important guiding significance for the study of marine geological hazards. 展开更多
关键词 CANYON GEOMORPHOLOGY sedimentary evolution control factors Zhongjiannan Basin western South China Sea
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Phase control and stabilization of 1T-MoS_(2) via black TiO_(2-x)nanotube arrays supporting for electrocatalytic hydrogen evolution
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作者 Ting Zhang Tingxuan Yang +3 位作者 Guoxing Qu Saifang Huang Peng Cao Wei Gao 《Journal of Energy Chemistry》 SCIE EI CAS CSCD 2022年第5期71-77,共7页
1T phase MoS_(2)(1T-MoS_(2)) is a promising substitute of platinum electrocatalyst for hydrogen evolution reaction(HER)due to its high intrinsic activity but suffering from thermodynamical instability.Although great e... 1T phase MoS_(2)(1T-MoS_(2)) is a promising substitute of platinum electrocatalyst for hydrogen evolution reaction(HER)due to its high intrinsic activity but suffering from thermodynamical instability.Although great efforts have been made to synthesize 1T-MoS_(2) and enhance its stability,it remains a big challenge to realize the phase control and stabilization of 1T-MoS_(2).Herein,based on crystal field theory analysis,we propose a new solution by designing an electrocatalyst of 1T-MoS_(2) nanosheets anchoring on black TiO2-xnanotube arrays in-situ grown on Ti plate(1T-MoS_(2)/TiO_(2-x)@Ti).The black TiO_(2-x)substrate is expected to play as electron donors to increase the charge in Mo 4 d orbits of 1T-MoS_(2) and thus weaken the asymmetric occupation of electrons in the Mo 4 d orbits.Experimental results demonstrate that black TiO_(2-x)nanotubes shift electrons to MoS_(2) and induce MoS_(2) to generate more 1 T phase due to stabilizing the 1T-MoS_(2) nanosheets compared with a Ti substrate.Thus 1T-MoS_(2/)TiO_(2-x)@Ti shows much improved HER performance with a small Tafel slope of 42 m V dec^(-1) and excellent catalytic stability with negligible degradation for 24 h.Theoretical calculations confirm that the black TiO_(2-x)substrate can effectively stabilize metastable 1T-MoS_(2) due to electrons transferring from black TiO_(2-x)to Mo 4 d orbits.This work sheds light on the instability of 1T-MoS_(2) and provides an essential method to stabilize and efficiently utilize 1T-MoS_(2) for HER. 展开更多
关键词 1T-MoS_(2) Black TiO_(2-x)nanotube Hydrogen evolution reaction Phase control ELECTROCATALYST
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Damage, failure and stability control of evolutionary process caused by re-exploitation of the residual resources
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作者 Xiao-Jing FENG Dong DUAN +2 位作者 Qu-Zhen TIAN Kai WANG Li-Bin LIU 《Journal of Coal Science & Engineering(China)》 2013年第4期462-467,共6页
On the basis of considering the heterogeneity and using the finite element numerical simulation, this thesis investi- gates the damage of the roof and coal as well as the failure of evolutionary process during the re-... On the basis of considering the heterogeneity and using the finite element numerical simulation, this thesis investi- gates the damage of the roof and coal as well as the failure of evolutionary process during the re-exploitation of the residual coal. According to the analysis of the damage field, stress field and the failure process, it explores the damage evolution, stress distribution laws and the damage models. Besides, this thesis puts forward the idea of penetrating and establishing drilling steels aimed at solving the problem of wall carving and roof fall, meanwhile this suggestion accomplishes the successful appli- cation effect in the testing ground. This thesis demonstrates that the re-exploitation of the residual coal can be carried out and the safe production can be ensured by adopting some measures. What's more, the research result provides the theoretical and practical experience for the re-exploitation of the residual coal in the similar conditions. 展开更多
关键词 re-exploitation of residual resources fully mechanized exploitation of the long wall damage evolution control ofstability numerical simulation
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GEOTHERMAL EVOLUTION OF THE DIWA-TYPE SEDIMENTARY BASIN AND ITS CONTROLLING ON THE FORMATION OF OIL/GAS POOLS
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《Geotectonica et Metallogenia》 1994年第Z2期113-115,共3页
关键词 GAS GEOTHERMAL evolution OF THE DIWA-TYPE SEDIMENTARY BASIN and ITS controlLING ON THE FORMATION OF OIL/GAS POOLS ITS
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Study on the Evolution of Rural Settlement Landscapes on Guanzhong Plain of China 被引量:1
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作者 王琼 乔征 王葆华 《Journal of Landscape Research》 2012年第1期35-38,41,共5页
Overall figures of rural settlement landscapes on Guanzhong Plain were summarized,material components of these landscapes were classified into living landscape facilities and production landscape facilities,and then i... Overall figures of rural settlement landscapes on Guanzhong Plain were summarized,material components of these landscapes were classified into living landscape facilities and production landscape facilities,and then introduced respectively.From the perspective of rural central landscapes,rural yard landscapes,rural cluster landscapes and rural road landscapes,evolution of rural landscape spatial forms on Guanzhong Plain was analyzed.Moreover,problems of present rural landscapes were proposed,necessity and urgency of controlling evolution of rural settlement landscapes were stressed,and a rural landscape control mode in view of regional characteristics of Guanzhong Plain was given. 展开更多
关键词 RURAL SETTLEMENT RURAL LandSCAPE evolution control STRATEGY
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THE OPTIMAL CONTROL FOR PROMOTING THE COOPERATION IN EVOLUTION GAME GENERATED BY PRISONER'S DILEMMA 被引量:2
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作者 王先甲 董瑞 陈琳 《Acta Mathematica Scientia》 SCIE CSCD 2018年第1期73-92,共20页
Natural selection opposes the evolution of cooperation unless specific mechanisms are at work in Prisoner's Dilemma. By taking advantage of the modern control theory, the controller design is discussed and the optima... Natural selection opposes the evolution of cooperation unless specific mechanisms are at work in Prisoner's Dilemma. By taking advantage of the modern control theory, the controller design is discussed and the optimal control is designed for promoting cooperation based on the recent advances in mechanisms for the evolution of cooperation. Two con- trol strategies are proposed: compensation control strategy for the cooperator when playing against a defector and reward control strategy for cooperator when playing against a coop- erator. The feasibility and effectiveness of these control strategies for promoting cooperation in different stages are analyzed. The reward for cooperation can't prevent defection from being evolutionary stable strategy (ESS). On the other hand, compensation for the coopera- tor can't prevent defection from emerging and sustaining. By considering the effect and the cost, an optimal control scheme with constraint on the admissible control set is put forward. By analyzing the special nonlinear system of replicator dynamics, the exact analytic solution of the optimal control scheme is obtained based on the maximum principle. Finally, the effectiveness of the proposed method is illustrated by examples. 展开更多
关键词 evolutionary games Prisoner's Dilemma evolution of cooperation promoting cooperation control optimal control
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Design of PID controller with incomplete derivation based on differential evolution algorithm 被引量:16
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作者 Wu Lianghong Wang Yaonan +1 位作者 Zhou Shaowu Tan Wen 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2008年第3期578-583,共6页
To determine the optimal or near optimal parameters of PID controller with incomplete derivation, a novel design method based on differential evolution (DE) algorithm is presented. The controller is called DE-PID co... To determine the optimal or near optimal parameters of PID controller with incomplete derivation, a novel design method based on differential evolution (DE) algorithm is presented. The controller is called DE-PID controller. To overcome the disadvantages of the integral performance criteria in the frequency domain such as IAE, ISE, and ITSE, a new performance criterion in the time domain is proposed. The optimization procedures employing the DE algorithm to search the optimal or near optimal PID controller parameters of a control system are demonstrated in detail. Three typical control systems are chosen to test and evaluate the adaptation and robustness of the proposed DE-PID controller. The simulation results show that the proposed approach has superior features of easy implementation, stable convergence characteristic, and good computational efficiency. Compared with the ZN, GA, and ASA, the proposed design method is indeed more efficient and robust in improving the step response of a control system. 展开更多
关键词 PID controller incomplete derivation differential evolution parameter tuning.
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Self-adapting control parameters modifieddifferential evolution for trajectoryplanning of manipulators 被引量:12
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作者 Lianghong WU Yaonan WANG Shaowu ZHOU 《控制理论与应用(英文版)》 EI 2007年第4期365-373,共9页
Control parameters of original differential evolution (DE) are kept fixed throughout the entire evolutionary process. However, it is not an easy task to properly set control parameters in DE for different optiinizat... Control parameters of original differential evolution (DE) are kept fixed throughout the entire evolutionary process. However, it is not an easy task to properly set control parameters in DE for different optiinization problems. According to the relative position of two different individual vectors selected to generate a difference vector in the searching place, a self-adapting strategy for the scale factor F of the difference vector is proposed. In terms of the convergence status of the target vector in the current population, a self-adapting crossover probability constant CR strategy is proposed. Therefore, good target vectors have a lower CFI while worse target vectors have a large CFI. At the same time, the mutation operator is modified to improve the convergence speed. The performance of these proposed approaches are studied with the use of some benchmark problems and applied to the trajectory planning of a three-joint redundant manipulator. Finally, the experiment results show that the proposed approaches can greatly improve robustness and convergence speed. 展开更多
关键词 Self-adapting control parameters Differential evolution Redundant manipulator Trajectory planning
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EXACT NULL CONTROLLABILITY OF NON-AUTONOMOUS FUNCTIONAL EVOLUTION SYSTEMS WITH NONLOCAL CONDITIONS 被引量:2
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作者 傅显隆 张玉 《Acta Mathematica Scientia》 SCIE CSCD 2013年第3期747-757,共11页
In this article, by using theory of linear evolution system and Schauder fixed point theorem, we establish a sufficient result of exact null controllability for a non-autonomous functional evolution system with nonloc... In this article, by using theory of linear evolution system and Schauder fixed point theorem, we establish a sufficient result of exact null controllability for a non-autonomous functional evolution system with nonlocal conditions. In particular, the compactness condition or Lipschitz condition for the function g in the nonlocal conditions appearing in various literatures is not required here. An example is also provided to show an application of the obtained result. 展开更多
关键词 Exact null controllability nonlocal condition linear evolution system Schauder fixed point theorem
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