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Robust pre-specified time synchronization of chaotic systems by employing time-varying switching surfaces in the sliding mode control scheme
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作者 Alireza Khanzadeh Mahdi Pourgholi 《Chinese Physics B》 SCIE EI CAS CSCD 2016年第8期86-93,共8页
In the conventional chaos synchronization methods, the time at which two chaotic systems are synchronized, is usually unknown and depends on initial conditions. In this work based on Lyapunov stability theory a slidin... In the conventional chaos synchronization methods, the time at which two chaotic systems are synchronized, is usually unknown and depends on initial conditions. In this work based on Lyapunov stability theory a sliding mode controller with time-varying switching surfaces is proposed to achieve chaos synchronization at a pre-specified time for the first time. The proposed controller is able to synchronize chaotic systems precisely at any time when we want. Moreover, by choosing the time-varying switching surfaces in a way that the reaching phase is eliminated, the synchronization becomes robust to uncertainties and exogenous disturbances. Simulation results are presented to show the effectiveness of the proposed method of stabilizing and synchronizing chaotic systems with complete robustness to uncertainty and disturbances exactly at a pre-specified time. 展开更多
关键词 chaos synchronization finite time synchronization sliding mode controller time varying switching surfaces
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A 3.3 kV 4H-SiC split gate MOSFET with a central implant region for superior trade-off between static and switching performance 被引量:3
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作者 Jongwoon Yoon Kwangsoo Kim 《Journal of Semiconductors》 EI CAS CSCD 2021年第6期55-63,共9页
A split gate MOSFET(SG-MOSFET)is widely known for reducing the reverse transfer capacitance(C_(RSS)).In a 3.3 kV class,the SG-MOSFET does not provide reliable operation due to the high gate oxide electric field.In add... A split gate MOSFET(SG-MOSFET)is widely known for reducing the reverse transfer capacitance(C_(RSS)).In a 3.3 kV class,the SG-MOSFET does not provide reliable operation due to the high gate oxide electric field.In addition to the poor static performance,the SG-MOSFET has issues such as the punch through and drain-induced barrier lowering(DIBL)caused by the high gate oxide electric field.As such,a 3.3 kV 4 H-SiC split gate MOSFET with a grounded central implant region(SG-CIMOSFET)is proposed to resolve these issues and for achieving a superior trade-off between the static and switching performance.The SG-CIMOSFET has a significantly low on-resistance(R_(ON))and maximum gate oxide field(E_(OX))due to the central implant region.A grounded central implant region significantly reduces the C_(RSS)and gate drain charge(Q_(GD))by partially screening the gate-to-drain capacitive coupling.Compared to a planar MOSFET,the SG MOSFET,central implant MOSFET(CIMOSFET),the SGCIMOSFET improve the R_(ON)×Q_(GD)by 83.7%,72.4%and 44.5%,respectively.The results show that the device features not only the smallest switching energy loss but also the fastest switching time. 展开更多
关键词 4H-SIC split gate ON-RESISTANCE reverse transfer capacitance switching energy loss switching time
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SWITCHING CHARACTERISTICS AND ANALYSIS OF RESONANT TUNNELING DIODES
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作者 张世林 朱怡 郭维廉 《Transactions of Tianjin University》 EI CAS 2006年第1期19-22,共4页
Resonant tunneling diode (RTD) of AlAs/InGaAs/AlAs double barrier-single well structure was designed and fabricated. The devices showed current-voltage characteristics with peak-valley current ratio of 4 : 1 at roo... Resonant tunneling diode (RTD) of AlAs/InGaAs/AlAs double barrier-single well structure was designed and fabricated. The devices showed current-voltage characteristics with peak-valley current ratio of 4 : 1 at room temperature. The scattering parameter of RTD was measured by using an HP8510(C) network analyzer. Equivalent circuit parameters were obtained by curve fitting and optimized. The RTD switching time was estimated using the measured capacitance and average negative differential resistance. The minimum rise time of the sample was estimated to be 21 ps. 展开更多
关键词 resonant tunneling diodes RTD) S parameter equivalent circuit switching time
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H_-/H_∞ fault detection filter design for interval time-varying delays switched systems 被引量:2
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作者 Jiawei Wang Yi Shen Zhenhua Wang 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2016年第4期878-886,共9页
The problem of the robust fault detection filter design for time-varying delays switched systems is considered in the framework of mixed H-/H∞. Firstly, the weighted H∞ performance index is utilized as the robustnes... The problem of the robust fault detection filter design for time-varying delays switched systems is considered in the framework of mixed H-/H∞. Firstly, the weighted H∞ performance index is utilized as the robustness performance, and the H- index is used as the sensitivity performance for obtaining the robust fault detection filter. Then a novel multiple Lyapunov-Krasovskii function is proposed for deriving sufficient existence conditions of the robust fault detection filter based on the average dwell time technique. By introducing slack matrix variable, the coupling between the Lyapunov matrix and system matrix is removed, and the conservatism of results is reduced. Based on the robust fault detection filter, residual is generated and evaluated for detecting faults. In addition, the results of this paper are dependent on time delays,and represented in the form of linear matrix inequalities. Finally,the simulation example verifies the effectiveness of the proposed method. 展开更多
关键词 switched system average dwell time mixed H-/H∞ robust fault detection filter time-varying delay
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High-speed 2 × 2 silicon-based electro-optic switch with nanosecond switch time
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作者 徐学俊 陈少武 +4 位作者 徐海华 孙阳 俞育德 余金中 王启明 《Chinese Physics B》 SCIE EI CAS CSCD 2009年第9期3900-3904,共5页
A 2 × 2 electro-optic switch is experimentally demonstrated using the optical structure of a Mach-Zehnder interferometer (MZI) based on a submicron rib waveguide and the electrical structure of a PIN diode on s... A 2 × 2 electro-optic switch is experimentally demonstrated using the optical structure of a Mach-Zehnder interferometer (MZI) based on a submicron rib waveguide and the electrical structure of a PIN diode on silicon-on-insulator (SOI). The switch behaviour is achieved through the plasma dispersion effect of silicon. The device has a modulation arm of 1 mm in length and cross-section of 400 nm×340 nm. The measurement results show that the switch has a VπLπ figure of merit of 0.145 V.cm and the extinction ratios of two output ports and cross talk are 40 dB, 28 dB and -28 dB, respectively. A 3 dB modulation bandwidth of 90 MHz and a switch time of 6.8 ns for the rise edge and 2.7 ns for the fall edge are also demonstrated. 展开更多
关键词 SILICON-ON-INSULATOR electro-optic switch plasma dispersion effect switch time
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Optimization on temperature efficiency and switch time of thin-walled regenerator with perturbation analysis
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作者 艾元方 梅炽 +2 位作者 蒋绍坚 黄国栋 陈红荣 《Journal of Central South University of Technology》 EI 2006年第5期506-510,共5页
The heat transfer characteristic of honeycomb ceramic regenerator was optimized by the perturbation analytical-numerical method. The results show that there is a temperature efficiency peak and the corresponding optim... The heat transfer characteristic of honeycomb ceramic regenerator was optimized by the perturbation analytical-numerical method. The results show that there is a temperature efficiency peak and the corresponding optimal switch time. The decrease of air oxygen concentration leads to the decrease of maximum temperature efficiency. Optimal switch time is directly proportional to the matrix thickness. The solid heat conduction along the flow direction and the regenerator heat storage capacity of the unit volume have no impact on maximum temperature efficiency and optimal switch time. The temperature efficiency tendency based on the semi-analysis is the same as dispersion combustion tests with low oxygen concentration, and optimal switch time of 2-4 s agrees well with that of 4 s in high-temperature gasification tests. The possibility of design, operate and control a thin-walled regenerator with high efficiency by means of the perturbation method is proved. 展开更多
关键词 thin-walled regenerator PERTURBATION temperature efficiency switch time
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Polarization fatigue in poly(vinylidene fluoride (78%)-trifluoroethylene (22%)) ferroelectric thin films:a pulse train study 被引量:1
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作者 罗晓雅 张吉皓 +1 位作者 严学俭 朱国栋 《Chinese Physics B》 SCIE EI CAS CSCD 2010年第10期567-572,共6页
This paper investigates the influences of polarization fatigue on remanent polarization and switching time by pulse train measurements in ferroelectric poly(vinylidene fluoride (78%) and trifluoroethylene (22%))... This paper investigates the influences of polarization fatigue on remanent polarization and switching time by pulse train measurements in ferroelectric poly(vinylidene fluoride (78%) and trifluoroethylene (22%)) thin films. Fatigue was carried out by a series of bipolar switching pulses with constant pulse width (on-time) and various interval times between pulses (off-time). The experimental observations indicated that the off-time period showed no obvious influence on fatigue rate and the switching time increased with the increase of fatigue cycles. The origination of these phenomena was discussed according to the charge injection model. 展开更多
关键词 ferroelectric polymer polarization fatigue switching time charge transfer
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Experiments and SPICE simulations of double MgO-based perpendicular magnetic tunnel junction
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作者 Qiuyang Li Penghe Zhang +10 位作者 Haotian Li Lina Chen Kaiyuan Zhou Chunjie Yan Liyuan Li Yongbing Xu Weixin Zhang Bo Liu Hao Meng Ronghua Liu Youwei Du 《Chinese Physics B》 SCIE EI CAS CSCD 2021年第4期518-525,共8页
We investigate properties of perpendicular anisotropy magnetic tunnel junctions(pMTJs) with a stack structure MgO/CoFeB/Ta/CoFeB/MgO as the free layer(or recording layer),and obtain the necessary device parameters fro... We investigate properties of perpendicular anisotropy magnetic tunnel junctions(pMTJs) with a stack structure MgO/CoFeB/Ta/CoFeB/MgO as the free layer(or recording layer),and obtain the necessary device parameters from the tunneling magnetoresistance(TMR) vs.field loops and current-driven magnetization switching experiments.Based on the experimental results and device parameters,we further estimate current-driven switching performance of pMTJ including switching time and power,and their dependence on perpendicular magnetic anisotropy and damping constant of the free layer by SPICE-based circuit simulations.Our results show that the pMTJ cells exhibit a less than 1 ns switching time and write energies <1.4 pJ;meanwhile the lower perpendicular magnetic anisotropy(PMA) and damping constant can further reduce the switching time at the studied range of damping constant α <0.1.Additionally,our results demonstrate that the pMTJs with the thermal stability factor■73 can be easily transformed into spin-torque nano-oscillators from magnetic memory as microwave sources or detectors for telecommunication devices. 展开更多
关键词 magnetic tunnel junctions magnetic tunnel junction(MTJ)model switching time spin torque nano-oscillator
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INCREASING BREAKDOWN VOLTAGE OF LDMOST USING BURIED LAYER
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作者 Han Lei Ye Xingning Chen Xingbi (Institute of Microelectronics, University of Electrical Science and Technology of China,, Chengdu 610054) 《Journal of Electronics(China)》 2003年第1期29-32,共4页
A new LDMOST structure, named B-LDMOST that has a buried layer under the drain is proposed. The buried layer is not connected to the drift region, so it can optimize the vertical field distribution and increase breakd... A new LDMOST structure, named B-LDMOST that has a buried layer under the drain is proposed. The buried layer is not connected to the drift region, so it can optimize the vertical field distribution and increase breakdown voltage. The analysis and the simulated results show that B-LDMOST can increase breakdown voltage, with almost negligible influence on the other parameters such as on-resistance, switching time, and so on. 展开更多
关键词 B-LDMOST Buried layer Breakdown voltage Ou-resistance switching time
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Cooperative interception with fast multiple model adaptive estimation 被引量:1
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作者 Shao-bo Wang Yang Guo +2 位作者 Shi-cheng Wang Zhi-guo Liu Shuai Zhang 《Defence Technology(防务技术)》 SCIE EI CAS CSCD 2021年第6期1905-1917,共13页
For the case that two pursuers intercept an evasive target,the cooperative strategies and state estimation methods taken by pursuers can seriously affect the guidance accuracy for the target,which performs a bang For ... For the case that two pursuers intercept an evasive target,the cooperative strategies and state estimation methods taken by pursuers can seriously affect the guidance accuracy for the target,which performs a bang For the case that two pursuers intercept an evasive target,the cooperative strategies and state estimation methods taken by pursuers can seriously affect the guidance accuracy for the target,which performs a bang-bang evasive maneuver with a random switching time.Combined Fast multiple model adaptive estimation(Fast MMAE)algorithm,the cooperative guidance law takes detection configuration affecting the accuracy of interception into consideration.Introduced the detection error model related to the line-of-sight(LOS)separation angle of two interceptors,an optimal cooperative guidance law solving the optimization problem is designed to modulate the LOS separation angle to reduce the estimation error and improve the interception performance.Due to the uncertainty of the target bang-bang maneuver switching time and the effective fitting of its multi-modal motion,Fast MMAE is introduced to identify its maneuver switching time and estimate the acceleration of the target to track and intercept the target accurately.The designed cooperative optimal guidance law with Fast MMAE has better estimation ability and interception performance than the traditional guidance law and estimation method via Monte Carlo simulation. 展开更多
关键词 Cooperative guidance Optimal control Fast multiple model adaptive estimation (fast MMAE) Bang-bang maneuver Switch time Detection configuration Estimation error
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Impact of Phase Noise on TDMS Based Calibration for Spaceborne Multi-Beam Antennas 被引量:1
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作者 Yujie Lin Xiangyuan Bu +2 位作者 Shuai Wang Yuan Chai Jianping An 《China Communications》 SCIE CSCD 2018年第3期128-136,共9页
For spaceborne multi-beam antennas(MBAs), time division multiplexed switching(TDMS) based calibration receiver can reduce implementation costs effectively and is very suitable for large-scale applications. However, in... For spaceborne multi-beam antennas(MBAs), time division multiplexed switching(TDMS) based calibration receiver can reduce implementation costs effectively and is very suitable for large-scale applications. However, in practice, random phase noise imposed by noisy local oscillators can cause significant performance degradation in TDMS-based calibration systems. Characterization of phase noise effects is therefore crucial for practical applications. In this paper, we analyze the impact of phase noise on the calibration performance for a MBA system. Specifically, we derive the relationship between the probability of correct amplitude/phase estimation and various practical factors involving the signal-to-noise ratio(SNR), the standard deviation of phase noise, the given tolerance region, and the length of the spreading code. The results provide high efficiency for evaluating the calibration performance of the MBAs based on TDMS, especially for precisely anticipating the impact of phase noise. Finally, the accuracy of the derived results is assessed by simulations in different scenarios. 展开更多
关键词 multi-beam antenna CALIBRATION phase noise time division multiplexed switching
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Decode-and-Forward Relay Based Bidirectional Wireless Information and Power Transfer 被引量:1
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作者 Ruirui Chen Hailin Zhang 《China Communications》 SCIE CSCD 2017年第8期176-183,共8页
In this paper, we propose the decode-and-forward(DF) based bidirectional wireless information and power transfer(BWIPT) in two-hop relay systems, where the bidirectional relay can decode and forward information from t... In this paper, we propose the decode-and-forward(DF) based bidirectional wireless information and power transfer(BWIPT) in two-hop relay systems, where the bidirectional relay can decode and forward information from the user to the access point(AP), and assist the wireless power transfer from the AP to the user. To maximize the information rate from the user to the AP, we derive the closed form expression of the optimal power splitting(PS) factor, and the time allocation scheme to obtain the optimal time switching(TS) factor. Simulation results show that for both PS and TS protocols, the proposed DF based bidirectional relay systems can improve the information rate as compared with the amplify-and-forward(AF) based bidirectional relay systems. 展开更多
关键词 decode-and-forward wireless power transfer bidirectional relay power splitting time switching
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A DESIGN OF 0.25μm CMOS SWITCH
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作者 Han Lei Yang Tao +3 位作者 Xie Jun Wang Yong You Yu Zhang Bo 《Journal of Electronics(China)》 2006年第5期745-747,共3页
Single-Pole Double-Throw (SPDT) broadband switch has been designed in a 0.25gm Complementary Metal Oxide Semiconductor (CMOS) process. To optimize the performance of isolation and insertion loss, based on normal d... Single-Pole Double-Throw (SPDT) broadband switch has been designed in a 0.25gm Complementary Metal Oxide Semiconductor (CMOS) process. To optimize the performance of isolation and insertion loss, based on normal design, the effects of Gate Series Resistances (GSR) on insertion loss and switching time are analyzed for the first time. The compatible GSRs are chosen by the analyses. The fabricated chips were tested and the results show the switch isolation from DC (Direct Current) to 1GHz exhibits 55dB and insertion loss lower than 2.1 dB. 展开更多
关键词 RF (Radio-Frequency) CMOS (Complementary Metal Oxide Semiconductor) SWITCH Insertion loss Gate Series Resistance (GSR) Switch time
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On the Performance of Wireless-Powered Cooperative DF Relaying Networks with Imperfect CSI
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作者 Shuai Liu Zujun Liu +3 位作者 Dechun Sun Hong Yang Kechu Yi Kan Wang 《China Communications》 SCIE CSCD 2018年第11期79-92,共14页
This paper studies several performance metrics of a wireless-powered decode-and-forward(DF) relay network with imperfect channel state information(CSI). In particular, based on the time switching(TS) protocol, the ene... This paper studies several performance metrics of a wireless-powered decode-and-forward(DF) relay network with imperfect channel state information(CSI). In particular, based on the time switching(TS) protocol, the energy-constrained relay harvesting energy from a power beacon(PB), and uses that harvested energy to forward the source information to destination. The closedform expression of the outage probability is firstly derived over Rayleigh fading channels. Then, the asymptotic analysis, throughput as well as the symbol error probability(SEP) are derived based on the expression of the outage probability. Next, both transmission power of the source and the power beacon are optimized through the throughput optimization. Finally, simulations are conducted to corroborate our theoretical analysis, and to reveal the impact of the transmission power of the source and PB as well as the imperfect CSI on the system performance. 展开更多
关键词 energy harvesting imperfectchannel state information time switching per-formance analysis
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Plant Cultivation Device in Intelligent Agricultural Greenhouse
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作者 Chao ZHANG Feng LI 《Asian Agricultural Research》 2021年第4期41-42,共2页
This paper mainly introduces the design and research of plant cultivation device in intelligent agricultural greenhouse.The device can automatically ventilate and control the temperature when the carbon dioxide conten... This paper mainly introduces the design and research of plant cultivation device in intelligent agricultural greenhouse.The device can automatically ventilate and control the temperature when the carbon dioxide content is insufficient.At the same time,the light color can be selected according to the plant properties,and the light and dark time can be controlled to provide a suitable growth environment for plants,which makes up for the shortcomings of the existing ordinary greenhouse.With China's strong support for agriculture,automatic agriculture is developing rapidly,and has a broad market prospect. 展开更多
关键词 Automatic agriculture Automatic timing switch Carbon dioxide controller Transparent glass Electromagnetic relay
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An Improved Modulation Strategy for Single-phase Three-level Neutral-point-clamped Converter in Critical Conduction Mode
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作者 Ning Li Yujie Cao +4 位作者 Xiaokang Liu Yan Zhang Ruotong Wang Lin Jiang Xiao-Ping Zhang 《Journal of Modern Power Systems and Clean Energy》 SCIE EI CSCD 2024年第3期981-990,共10页
Two-level totem-pole power factor correction(PFC)converters in critical conduction mode(CRM)suffer from the wide regulation range of switching frequency.Besides,in highfrequency applications,the number of switching ti... Two-level totem-pole power factor correction(PFC)converters in critical conduction mode(CRM)suffer from the wide regulation range of switching frequency.Besides,in highfrequency applications,the number of switching times increases,resulting in significant switching losses.To solve these issues,this paper proposes an improved modulation strategy for the single-phase three-level neutral-point-clamped(NPC)converter in CRM with PFC.By optimizing the discharging strategy and switching state sequence,the switching frequency and its variation range have been efficiently reduced.The detailed performance analysis is also presented regarding the switching frequency,the average switching times,and the effect of voltage gain.A 2 k W prototype is built to verify the effectiveness of the proposed modulation strategy and analysis results.Compared with the totem-pole PFC converter,the switching frequency regulation range of the three-level PFC converter is reduced by 36.48%and the average switching times is reduced by 45.10%.The experimental result also shows a 1.2%higher efficiency for the three-level PFC converter in the full load range. 展开更多
关键词 Critical conduction mode(CRM) on-board charger switching frequency range switching times power factor correction(PFC) three-level converter
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Particle swarm optimization for time-optimal control design
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作者 Yiqiang LI Xing ZHANG +1 位作者 Yaobin CHEN Huixing ZHOU 《控制理论与应用(英文版)》 EI 2012年第3期365-370,共6页
Abstract:control law for both linear and nonlinear systems. By introducing a penalty function, the method can be mod- ified to deal with systems with constraints. Compared with existing computational methods, the pro... Abstract:control law for both linear and nonlinear systems. By introducing a penalty function, the method can be mod- ified to deal with systems with constraints. Compared with existing computational methods, the proposed method can be implemented in a straightforward manner. The convergent solutions can be achieved by selecting suitable PSO parameters regardless of the initial guess of the switching times. A double integrator and a third-order nonlinear system are used tO demonstrate the effectiveness and robustness of the proposed method. The method is applied to obtain the time-optimal control law for a high performance linear motion positioning system. The results show the practicality of the proposed algorithm. 展开更多
关键词 Optimal control Bang-bang control Particle swarm optimization switching time computation
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TIME AND POLING HISTORY DEPENDENT ENERGY STORAGE AND DISCHARGE BEHAVIORS IN POLY(VINYLIDENE FLUORIDE-CO-HEXAFLUOROPROPYLENE) RANDOM COPOLYMERS
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作者 Fang-xiao Guan Jing Wang +2 位作者 Ji-lin Pan Qing Wang Lei Zhu 《Chinese Journal of Polymer Science》 SCIE CAS CSCD 2011年第1期65-80,共16页
We studied cycle time (0.01-10 s with triangular input waves) and poling history (continuous versus fresh poling) dependent electric energy storage and discharge behaviors in poly(vinylidene fluoride-co-hexafluor... We studied cycle time (0.01-10 s with triangular input waves) and poling history (continuous versus fresh poling) dependent electric energy storage and discharge behaviors in poly(vinylidene fluoride-co-hexafluoropropylene) [P(VDF- HFP)] films using the electric displacement -- the electric field (D-E) hysteresis loop measurements. Since the permanent dipoles in PVDF are orientational in nature, it is generally considered that both charging and discharging processes should be time and poling history dependent. Intriguingly, our experimental results showed that the charging process depended heavily on the cycle time and the prior poling history, and thus the D-E hysteresis loops had different shapes accordingly. However, the discharged energy density did not change no matter how the D-E loop shape varied due to different measurements. This experimental result could be explained in terms of reversible and irreversible polarizations. The reversible polarization could be charged and discharged fairly quickly (〈 5 ms for each process), while the irreversible polarization depended heavily on the poling time and the prior poling history. This study suggests that it is only meaningful to compare the discharged energy density for PVDF and its copolymer films when different cycle times and poling histories are used. 展开更多
关键词 P(VDF-HFP) random copolymer Charging and discharging behaviors time and poling history dependence Dipole switching Compensation polarization.
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COMPLEXITY ANALYSIS AND COMPUTATION OF THE OPTIMAL HARVESTING FOR ONE-SPECIES POPULATION RESOURCES 被引量:2
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作者 Haiying JING Zhaoyu YANG 《Journal of Systems Science & Complexity》 SCIE EI CSCD 2006年第4期517-526,共10页
The exploitation of renewable resources creates many complex problems for culture, ecology and economics as well. Ascertaining the essentials behind the coraplex problems is very important, in this paper, we mainly st... The exploitation of renewable resources creates many complex problems for culture, ecology and economics as well. Ascertaining the essentials behind the coraplex problems is very important, in this paper, we mainly study various complex relations appearing in the optimal exploitation process for renewable resources. First, we derive a sufficient condition on the existence of optimal harvesting policies for one-species population resources. Then we present every possible optimal harvesting pattern for such a modeh On the basis of this, we give a computing formula for estimating the optimal harvesting period, optimal transitional period, and optimal recruitment period. The main difference with respect to the previous works in literature is that our optimal harvesting policy is a piece-wise continuous function of time t, at the piecewise point to, which is called switching time. At the switching time we switch the harvesting rate from h to some transitional control u,, then to 0. Clearly this kind of harvesting policy is easier to carry out than those by others, provided that there exists a managing department which can highly supervise the resources. 展开更多
关键词 COMPLEXITY optimal harvesting patterns optimal harvesting period optimal switching time optimal transitional period.
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OPTIMAL IMPULSIVE HARVESTING FOR FISH POPULATIONS 被引量:2
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作者 ZHAOLichun ZHANGQingling YANGQichang 《Journal of Systems Science & Complexity》 SCIE EI CSCD 2003年第4期466-474,共9页
In this paper the management model a two-species fishery involving impulsesis investigated by using optimal impulsive control theorem. Optimal impulsive harvesting times andthe corresponding optimal harvesting populat... In this paper the management model a two-species fishery involving impulsesis investigated by using optimal impulsive control theorem. Optimal impulsive harvesting times andthe corresponding optimal harvesting population levels in different cases are obtained. 展开更多
关键词 impulsive system optimal impulsive control switching time logistic model
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