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Impulsive Synchronization of Laser Plasma System
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作者 LI Yang LIAO Xiao-Feng LI Chuan-Dong CHEN Guo 《Communications in Theoretical Physics》 SCIE CAS CSCD 2007年第6期1067-1072,共6页
The issue of impulsive synchronization of the coupled chaotic laser plasma system is investigated. A new framework for impulsive synchronization of such chaotic systems is presented, which makcs the synchronization er... The issue of impulsive synchronization of the coupled chaotic laser plasma system is investigated. A new framework for impulsive synchronization of such chaotic systems is presented, which makcs the synchronization error system a linear impulsive control system. We derive some suffcient conditions for the synchronization of a laser plasma system via impulsive control with the varying impulsive intervals, which allows us to derive the impulsive synchronization law easily. To illustrate the effectiveness of the proposed results, two numerical examples are given. 展开更多
关键词 CHAOS impulsive stabilization impulsive control impulsive synchronization
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An improved impulsive control approach to nonlinear systems with time-varying delays 被引量:2
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作者 张化光 符洁 +1 位作者 马铁东 佟绍成 《Chinese Physics B》 SCIE EI CAS CSCD 2009年第3期969-974,共6页
A scheme for the impulsive control of nonlinear systems with time-varying delays is investigated in this paper. Based on the Lyapunov-like stability theorem for impulsive functional differential equations (FDEs), so... A scheme for the impulsive control of nonlinear systems with time-varying delays is investigated in this paper. Based on the Lyapunov-like stability theorem for impulsive functional differential equations (FDEs), some sufficient conditions are presented to guarantee the uniform asymptotic stability of impulsively controlled nonlinear systems with time-varying delays. These conditions are more effective and less conservative than those obtained. Finally, two numerical examples are provided to demonstrate the effectiveness of the proposed method. 展开更多
关键词 impulsive control time-varying delays impulsive functional differential equations Lyapunov-like stability theorem
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Stabilization of Discrete-Time Dynamical Systems Under Event-Triggered Impulsive Control with and Without Time-Delays 被引量:4
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作者 LIU Bin HILL David John +1 位作者 ZHANG Changfan SUN Zhijie 《Journal of Systems Science & Complexity》 SCIE EI CSCD 2018年第1期130-146,共17页
This paper investigates the issue of stabilization for discrete-time dynamical systems(DDS)by event-triggered impulsive control(ETIC). Based on some relatively simple threshold constants, three levels of event con... This paper investigates the issue of stabilization for discrete-time dynamical systems(DDS)by event-triggered impulsive control(ETIC). Based on some relatively simple threshold constants, three levels of event conditions are set and thus the ETIC scheme is designed. Three cases for ETIC with and without time-delays and data dropouts are studied respectively, and the criteria on exponential stability are derived for the controlled DDS. The stabilization in the form of exponential stability is achieved for DDS under the designed ETIC with or without time-delays. And in the case of the ETIC data dropouts, the conditions of exponential stabilization are derived for DDS and the maximal allowable dropout rates for ETIC are estimated. Finally, one example with numerical simulations is worked out for illustration. 展开更多
关键词 Data dropout discrete-time dynamical systems event-triggered control exponential stability impulsive control stabilization time-delay
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Exponential Stability of Impulsive Neutral Stochastic Functional Differential Equations with Markovian Switching
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作者 XIAO Ke LI Shuyong 《Journal of Systems Science & Complexity》 SCIE EI CSCD 2023年第4期1560-1582,共23页
The aim of this paper is to the discussion of the exponential stability of a class of impulsive neutral stochastic functional differential equations with Markovian switching.Under the influence of impulsive disturbanc... The aim of this paper is to the discussion of the exponential stability of a class of impulsive neutral stochastic functional differential equations with Markovian switching.Under the influence of impulsive disturbance,the solution for the system is discontinuous.By using the Razumikhin technique and stochastic analysis approaches,as well as combining the idea of mathematical induction and classification discussion,some sufficient conditions for the pth moment exponential stability and almost exponential stability of the systems are obtained.The stability conclusion is full time-delay.The results show that impulse,the point distance of impulse and Markovain switching affect the stability for the system.Finally,two examples are provided to illustrate the effectiveness of the results proposed. 展开更多
关键词 Delay exponential stability impulsive Markovian switching neutral Razumikhin technique stochastic functional differential equations
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