期刊文献+
共找到402篇文章
< 1 2 21 >
每页显示 20 50 100
Sliding mode control of uncertain systems with distributed time-delay: parameter-dependent Lyapunov functional approach 被引量:2
1
作者 Ligang WU Changhong WANG Huijun GAO Qingshuang ZENG 《控制理论与应用(英文版)》 EI 2006年第2期159-167,共9页
The robust stability and robust sliding mode control problems are studied for a class of linear distributed time-delay systems with polytopic-type uncertainties by applying the parameter-dependent Lyapunov functional ... The robust stability and robust sliding mode control problems are studied for a class of linear distributed time-delay systems with polytopic-type uncertainties by applying the parameter-dependent Lyapunov functional approach combining with a new method of introducing some relaxation matrices and tuning parameters, which can be chosen properly to lead to a less conservative result. First, a sufficient condition is proposed for robust stability of the autonomic system; next, the sufficient conditions of the robust stabilization controller and the existence condition of sliding mode are developed. The results are given in terms of linear matrix inequalities (LMIs), which can be solved via efficient interior-point algorithms. A numerical example is presented to illustrate the feasibility and advantages of the proposed design scheme. 展开更多
关键词 Parameter-dependent lyapunov functional Distributed delay systems Sliding mode control Robust stabilization Linear matrix inequalities (LMIs)
下载PDF
Parameter-dependent Lyapunov functional for systems with multiple time delays 被引量:1
2
作者 MinWU YongHE 《控制理论与应用(英文版)》 EI 2004年第3期239-245,共7页
The separation of the Lyapunov matrices and system matrices plays an important role when one uses parameter-dependent Lyapunov functional handling systems with polytopic type uncertainties. The delay-dependent robust ... The separation of the Lyapunov matrices and system matrices plays an important role when one uses parameter-dependent Lyapunov functional handling systems with polytopic type uncertainties. The delay-dependent robust stability problem for systems with polytopic type uncertainties is discussed by using parameter-dependent Lyapunov functional. The derivative term in the derivative of Lyapunov functional is reserved and the free weighting matrices are employed to express the relationship between die terms in the system equation such that the Lyapunov matrices are not involved in any product terms with the system matrices. In addition, the relationships between the terms in the Leibniz Newton formula are also described by some free weighting matrices and some delay-dependent stability conditions are derived. Numerical examples demonstrate that the proposed criteria are more effective than the previous results. 展开更多
关键词 Robust stability DELAY-DEPENDENT Parameter-dependent lyapunov functional Polytopic type uncertainties Linear matrix inequality
下载PDF
Observer-Based Adaptive Fuzzy Tracking Control Using Integral Barrier Lyapunov Functionals for A Nonlinear System With Full State Constraints 被引量:3
3
作者 Wei Zhao Yanjun Liu Lei Liu 《IEEE/CAA Journal of Automatica Sinica》 SCIE EI CSCD 2021年第3期617-627,共11页
A new fuzzy adaptive control method is proposed for a class of strict feedback nonlinear systems with immeasurable states and full constraints.The fuzzy logic system is used to design the approximator,which deals with... A new fuzzy adaptive control method is proposed for a class of strict feedback nonlinear systems with immeasurable states and full constraints.The fuzzy logic system is used to design the approximator,which deals with uncertain and continuous functions in the process of backstepping design.The use of an integral barrier Lyapunov function not only ensures that all states are within the bounds of the constraint,but also mixes the states and errors to directly constrain the state,reducing the conservativeness of the constraint satisfaction condition.Considering that the states in most nonlinear systems are immeasurable,a fuzzy adaptive states observer is constructed to estimate the unknown states.Combined with adaptive backstepping technique,an adaptive fuzzy output feedback control method is proposed.The proposed control method ensures that all signals in the closed-loop system are bounded,and that the tracking error converges to a bounded tight set without violating the full state constraint.The simulation results prove the effectiveness of the proposed control scheme. 展开更多
关键词 Adaptive control backstepping design integral barrier lyapunov function(iBLF) states observer
下载PDF
Quantum control based on three forms of Lyapunov functions
4
作者 俞国慧 杨洪礼 《Chinese Physics B》 SCIE EI CAS CSCD 2024年第4期216-222,共7页
This paper introduces the quantum control of Lyapunov functions based on the state distance, the mean of imaginary quantities and state errors.In this paper, the specific control laws under the three forms are given.S... This paper introduces the quantum control of Lyapunov functions based on the state distance, the mean of imaginary quantities and state errors.In this paper, the specific control laws under the three forms are given.Stability is analyzed by the La Salle invariance principle and the numerical simulation is carried out in a 2D test system.The calculation process for the Lyapunov function is based on a combination of the average of virtual mechanical quantities, the particle swarm algorithm and a simulated annealing algorithm.Finally, a unified form of the control laws under the three forms is given. 展开更多
关键词 quantum system lyapunov function particle swarm optimization simulated annealing algorithms quantum control
下载PDF
Input-to-state stability theorem and strict Lyapunov functional constructions for time-delay systems on time scales
5
作者 Xiaodong Lu Haitao Li 《Journal of Control and Decision》 EI 2021年第4期394-402,共9页
In this paper,input-to-state stability of nonlinear time-delay systems on time scales is investigated.Due to the advantages of the strict Lyapunov functionals in uncertainty quantification and robustness analysis,one ... In this paper,input-to-state stability of nonlinear time-delay systems on time scales is investigated.Due to the advantages of the strict Lyapunov functionals in uncertainty quantification and robustness analysis,one always prefers to construct the strict Lyapunov functionals to analyse stability of time-delay systems.However,it may be not an easy task to do this for some timedelay systems.This paper proposes an input-to-state stability theorem based on a time-scale uniformly asymptotically stable function.The advantage of this theorem is that it is dependent on the non-strict Lyapunov functional,whose time-scale derivative can be non-negative on some time intervals.Then,some approaches are established to construct the strict Lyapunov functionals based on the non-strict ones.It is shown that input-to-state stability theorems can be also formulated in terms of these strict Lyapunov functionals.Finally,to illustrate the effectiveness of the main results,an example is given. 展开更多
关键词 Input-to-state stability time-delay systems strict lyapunov functional non-strict lyapunov functional time scale
原文传递
Robust Stability of Neutral Systems:A Discretized Lyapunov Functional Method
6
作者 李旭光 朱新坚 曹广益 《Journal of Shanghai Jiaotong university(Science)》 EI 2009年第3期279-285,共7页
This paper focuses on the robust stability for time-delay systems of neutral type. A new complete Lyapunov-Krasovskii function (LKF) is developed. Based on this function and discretization, stability conditions in ter... This paper focuses on the robust stability for time-delay systems of neutral type. A new complete Lyapunov-Krasovskii function (LKF) is developed. Based on this function and discretization, stability conditions in terms of linear matrix inequalities are obtained. A class of time-varying uncertainty of system matrices can be studied by the method. 展开更多
关键词 STABILITY time-delay systems discretized lyapunov functional method
原文传递
REMARKS ON THE GLOBALATTRACTORS OF SEMIGROUPS HAVING A LYAPUNOV FUNCTIONAL
7
作者 郭柏灵 高洪俊 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 1998年第1期106-108,共3页
关键词 SI DCB PE REMARKS ON THE GLOBALATTRACTORS OF SEMIGROUPS HAVING A lyapunov functional
全文增补中
A Survey on the Control Lyapunov Function and Control Barrier Function for Nonlinear-Affine Control Systems 被引量:1
8
作者 Boqian Li Shiping Wen +2 位作者 Zheng Yan Guanghui Wen Tingwen Huang 《IEEE/CAA Journal of Automatica Sinica》 SCIE EI CSCD 2023年第3期584-602,共19页
This survey provides a brief overview on the control Lyapunov function(CLF)and control barrier function(CBF)for general nonlinear-affine control systems.The problem of control is formulated as an optimization problem ... This survey provides a brief overview on the control Lyapunov function(CLF)and control barrier function(CBF)for general nonlinear-affine control systems.The problem of control is formulated as an optimization problem where the optimal control policy is derived by solving a constrained quadratic programming(QP)problem.The CLF and CBF respectively characterize the stability objective and the safety objective for the nonlinear control systems.These objectives imply important properties including controllability,convergence,and robustness of control problems.Under this framework,optimal control corresponds to the minimal solution to a constrained QP problem.When uncertainties are explicitly considered,the setting of the CLF and CBF is proposed to study the input-to-state stability and input-to-state safety and to analyze the effect of disturbances.The recent theoretic progress and novel applications of CLF and CBF are systematically reviewed and discussed in this paper.Finally,we provide research directions that are significant for the advance of knowledge in this area. 展开更多
关键词 Control barrier function(CBF) control lyapunov function(CLF) nonlinear-affine control systems
下载PDF
Stability Analysis of a Self-Memory Prey-Predator Diffusion Model Based on Bazykin Functional Response
9
作者 Yanzhe Han Fuqin Sun 《Journal of Applied Mathematics and Physics》 2023年第5期1391-1403,共13页
To investigate the effects of self-memory diffusion on predator-prey models, we consider a predator-prey model with Bazykin functional response of self- memory diffusion. The uniqueness, boundedness, positivity, exist... To investigate the effects of self-memory diffusion on predator-prey models, we consider a predator-prey model with Bazykin functional response of self- memory diffusion. The uniqueness, boundedness, positivity, existence and stability of equilibrium point of the model are studied. In this paper, the uniqueness of the solution is discussed under the non-negative initial function and Neumann boundary conditions satisfying a specific space. The boundness of the solution is proved by the comparison principle of parabolic equations, and the positivity of the solution is proved by the strong maximum principle of parabolic equations. Hurwitz criterion and Lyapunov function construction are used to analyze the local stability and global stability of feasible equilibrium points. The results show that the system solution is unique non-negative and bounded. The model is unstable at the trivial equilibrium point E0 and the boundary equilibrium point E1, and the condition of whether the positive equilibrium point E2 is stable under certain conditions is given. 展开更多
关键词 Bazykin functional Response lyapunov Function BOUNDEDNESS UNIQUENESS Stability
下载PDF
Asymptotic Analysis of a Stochastic Model of Mosquito-Borne Disease with the Use of Insecticides and Bet Nets
10
作者 Boubacar Sidiki Kouyaté Modeste N’zi 《Journal of Applied Mathematics and Physics》 2024年第1期305-329,共25页
Ross’ epidemic model describing the transmission of malaria uses two classes of infection, one for humans and one for mosquitoes. This paper presents a stochastic extension of a deterministic vector-borne epidemic mo... Ross’ epidemic model describing the transmission of malaria uses two classes of infection, one for humans and one for mosquitoes. This paper presents a stochastic extension of a deterministic vector-borne epidemic model based only on the class of human infectious. The consistency of the model is established by proving that the stochastic delay differential equation describing the model has a unique positive global solution. The extinction of the disease is studied through the analysis of the stability of the disease-free equilibrium state and the persistence of the model. Finally, we introduce some numerical simulations to illustrate the obtained results. 展开更多
关键词 Vector-Borne Disease Epidemic Model Stochastic Delay Differential Equations Stochastic Stability lyapunov functional Technique
下载PDF
Asymptotic stability for impulsive functional differential equations 被引量:1
11
作者 罗治国 罗艳 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2009年第10期1317-1324,共8页
In this paper, we investigate the stability of a class of impulsive functional differential equations by using Lyapunov functional and Jensen's inequality. Some new stability theorems are obtained. Examples are given... In this paper, we investigate the stability of a class of impulsive functional differential equations by using Lyapunov functional and Jensen's inequality. Some new stability theorems are obtained. Examples are given to demonstrate the advantage of the obtained results. 展开更多
关键词 STABILITY impulsive functional differential equation lyapunov functional Jensen's inequality
下载PDF
Command filtered integrated estimation guidance and control for strapdown missiles with circular field of view
12
作者 Wei Wang Jiaqi Liu +2 位作者 Shiyao Lin Baokui Geng Zhongjiao Shi 《Defence Technology(防务技术)》 SCIE EI CAS CSCD 2024年第5期211-221,共11页
In this paper,an integrated estimation guidance and control(IEGC)system is designed based on the command filtered backstepping approach for circular field-of-view(FOV)strapdown missiles.The threedimensional integrated... In this paper,an integrated estimation guidance and control(IEGC)system is designed based on the command filtered backstepping approach for circular field-of-view(FOV)strapdown missiles.The threedimensional integrated estimation guidance and control nonlinear model with limited actuator deflection angle is established considering the seeker's FOV constraint.The boundary time-varying integral barrier Lyapunov function(IBLF)is employed in backstepping design to constrain the body line-of-sight(BLOS)in IEGC system to fit a circular FOV.Then,the nonlinear adaptive controller is designed to estimate the changing aerodynamic parameters.The generalized extended state observer(GESO)is designed to estimate the acceleration of the maneuvering targets and the unmatched time-varying disturbances for improving tracking accuracy.Furthermore,the command filters are used to solve the"differential expansion"problem during the backstepping design.The Lyapunov theory is used to prove the stability of the overall closed-loop IEGC system.Finally,the simulation results validate the integrated system's effectiveness,achieving high accuracy strikes against maneuvering targets. 展开更多
关键词 Integrated estimation guidance and control Circular field-of-view Time-varying integral barrier lyapunov function Command filtered backstepping control Nonlinear adaptive control Extended state observer
下载PDF
Stability analysis for affine fuzzy system based on fuzzy Lyapunov functions
13
作者 柳善建 沈炯 +1 位作者 刘西陲 李益国 《Journal of Southeast University(English Edition)》 EI CAS 2011年第3期295-299,共5页
An analysis method based on the fuzzy Lyapunov functions is presented to analyze the stability of the continuous affine fuzzy systems. First, a method is introduced to deal with the consequent part of the fuzzy local ... An analysis method based on the fuzzy Lyapunov functions is presented to analyze the stability of the continuous affine fuzzy systems. First, a method is introduced to deal with the consequent part of the fuzzy local model. Thus, the stability analysis method of the homogeneous fuzzy system can be used for reference. Stability conditions are derived in terms of linear matrix inequalities based on the fuzzy Lyapunov functions and the modified common Lyapunov functions, respectively. The results demonstrate that the stability result based on the fuzzy Lyapunov functions is less conservative than that based on the modified common Lyapunov functions via numerical examples. Compared with the method which does not expand the consequent part, the proposed method is simpler but its feasible region is reduced. Finally, in order to expand the application of the fuzzy Lyapunov functions, the piecewise fuzzy Lyapunov function is proposed, which can be used to analyze the stability for triangular or trapezoidal membership functions and obtain the stability conditions. A numerical example validates the effectiveness of the proposed approach. 展开更多
关键词 affine fuzzy system stability analysis linear matrix inequalities fuzzy lyapunov function
下载PDF
Robust admissibility analysis of uncertain switched singular systems:a switched Lyapunov function approach
14
作者 林金星 费树岷 +1 位作者 沈炯 于建江 《Journal of Southeast University(English Edition)》 EI CAS 2009年第2期208-212,共5页
The robust admissibility analysis of a class of uncertain discrete-time switched linear singular(SLS) systems for arbitrary switching laws is addressed. The parameter uncertainty is assumed to be norm-bounded. First... The robust admissibility analysis of a class of uncertain discrete-time switched linear singular(SLS) systems for arbitrary switching laws is addressed. The parameter uncertainty is assumed to be norm-bounded. First, by using the switched Lyapunov function approach, some new sufficient conditions ensuring the nominal discrete-time SLS system to be regular, casual and asymptotically stable for arbitrary switching laws are derived in terms of linear matrix inequalities. Then, the robust admissibility condition for the uncertain discrete-time SLS systems is presented. The obtained results can be viewed as an extension of previous works on the switched Lyapunov function approach from the regular switched linear systems to the switched linear singular cases. Numerical examples show the reduced conservatism and effectiveness of the proposed conditions. 展开更多
关键词 switched singular systems robust admissibility switched lyapunov function parameter uncertainty
下载PDF
Stability of second order Hopfield neural networks with time delays
15
作者 Wang Shuna Liu Jiang 《江苏师范大学学报(自然科学版)》 CAS 2024年第3期49-55,共7页
Dynamical behaviors of a class of second order Hopfield neural networks with time delays is investigated.The existence of a unique equilibrium point is proved by using Brouwer's fixed point theorem and the counter... Dynamical behaviors of a class of second order Hopfield neural networks with time delays is investigated.The existence of a unique equilibrium point is proved by using Brouwer's fixed point theorem and the counter proof method,and some sufficient conditions for the global asymptotic stability of the equilibrium point are obtained through the combination of a suitable Lyapunov function and an algebraic inequality technique. 展开更多
关键词 Hopfield neural network lyapunov function existence and uniqueness global asymptotic stability
下载PDF
Modelling Foot and Mouth Disease in the Context of Active Immigrants
16
作者 Issa Shabani Mfinanga Nyimvua Shaban Theresia Marijani 《Journal of Applied Mathematics and Physics》 2024年第1期147-167,共21页
This study employs mathematical modeling to analyze the impact of active immigrants on Foot and Mouth Disease (FMD) transmission dynamics. We calculate the reproduction number (R<sub>0</sub>) using the nex... This study employs mathematical modeling to analyze the impact of active immigrants on Foot and Mouth Disease (FMD) transmission dynamics. We calculate the reproduction number (R<sub>0</sub>) using the next-generation matrix approach. Applying the Routh-Hurwitz Criterion, we establish that the Disease-Free Equilibrium (DFE) point achieves local asymptotic stability when R<sub>0</sub> α<sub>1</sub> and α<sub>2</sub>) are closely associated with reduced susceptibility in animal populations, underscoring the link between immigrants and susceptibility. Furthermore, our findings emphasize the interplay of disease introduction with population response and adaptation, particularly involving incoming infectious immigrants. Swift interventions are vital due to the limited potential for disease establishment and rapid susceptibility decline. This study offers crucial insights into the complexities of FMD transmission with active immigrants, informing effective disease management strategies. 展开更多
关键词 Next-Generation Matrix Approach Routh-Hurwitz Quadratic lyapunov Function Active Immigrants Reproduction Number Analysis
下载PDF
Stability of a Delayed Stochastic Epidemic COVID-19 Model with Vaccination and with Differential Susceptibility
17
作者 Modeste N’zi Boubacar Sidiki Kouyaté +1 位作者 Ilimidi Yattara Modibo Diarra 《Journal of Applied Mathematics and Physics》 2024年第2期509-532,共24页
In this paper, we treat the spread of COVID-19 using a delayed stochastic SVIRS (Susceptible, Infected, Recovered, Susceptible) epidemic model with a general incidence rate and differential susceptibility. We start wi... In this paper, we treat the spread of COVID-19 using a delayed stochastic SVIRS (Susceptible, Infected, Recovered, Susceptible) epidemic model with a general incidence rate and differential susceptibility. We start with a deterministic model, then add random perturbations on the contact rate using white noise to obtain a stochastic model. We first show that the delayed stochastic differential equation that describes the model has a unique global positive solution for any positive initial value. Under the condition R<sub>0</sub> ≤ 1, we prove the almost sure asymptotic stability of the disease-free equilibrium of the model. 展开更多
关键词 SIRS Delayed Epidemic Model Nonlinear Incidence rate lyapunov Function Asymptotic Stability in Probability
下载PDF
Global Stability Analysis of the Mathematical Model for Malaria Transmission between Vector and Host Population
18
作者 Raghad Alsulami Amal Almatrafi +2 位作者 Nehad Almohammadi Hanin Alosaimi H. A. Batarfi 《American Journal of Computational Mathematics》 2024年第2期275-289,共15页
In this paper, we discuss a mathematical model of malaria transmission between vector and host population. We study the basic qualitative properties of the model, the boundedness and non-negativity, calculate all equi... In this paper, we discuss a mathematical model of malaria transmission between vector and host population. We study the basic qualitative properties of the model, the boundedness and non-negativity, calculate all equilibria, and prove the global stability of them and the behaviour of the model when the basic reproduction ratio R0 is greater than one or less than one. The global stability of equilibria is established by using Lyapunov method. Graphical representations of the calculated parameters and their effects on disease eradication are provided. 展开更多
关键词 Malaria Transmission Global Stability lyapunov Function
下载PDF
Construction of Control Lyapunov Functions for a Class of Nonlinear Systems 被引量:5
19
作者 CAI Xiu-Shan HAN Zheng-Zhi WANG Xiao-Dong 《自动化学报》 EI CSCD 北大核心 2006年第5期796-799,共4页
The construction of control Lyapunov functions for a class of nonlinear systems is considered. We develop a method by which a control Lyapunov function for the feedback linearizable part can be constructed systematica... The construction of control Lyapunov functions for a class of nonlinear systems is considered. We develop a method by which a control Lyapunov function for the feedback linearizable part can be constructed systematically via Lyapunov equation. Moreover, by a control Lyapunov function of the feedback linearizable part and a Lyapunov function of the zero dynamics, a control Lyapunov function for the overall nonlinear system is established. 展开更多
关键词 Nonlinear systems control lyapunov functions semiglobal stabilization zero dynamics.
下载PDF
On stability of discontinuous systems via vector Lyapunov functions 被引量:2
20
作者 慕小武 程桂芳 丁志帅 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2007年第12期1613-1619,共7页
This paper deals with the stability of systems with discontinuous righthand side (with solutions in Filippov's sense) via locally Lipschitz continuous and regular vector Lyapunov functions. A new type of “set-valu... This paper deals with the stability of systems with discontinuous righthand side (with solutions in Filippov's sense) via locally Lipschitz continuous and regular vector Lyapunov functions. A new type of “set-valued derivative” of vector Lyapunov functions is introduced, some generalized comparison principles on discontinuous systems are shown. Furthermore, Lyapunov stability theory is developed for a class of discontinuous systems based on locally Lipschitz continuous and regular vector Lyapunov functions. 展开更多
关键词 Filippov solutions comparison principles STABILITY vector lyapunov functions discontinuous systems
下载PDF
上一页 1 2 21 下一页 到第
使用帮助 返回顶部