This paper deals with the H∞ control problems of Markovian jump systems with mode-dependent time delays. First, considering the mode-dependent time delays, a different delay-dependent H∞ performance condition for Ma...This paper deals with the H∞ control problems of Markovian jump systems with mode-dependent time delays. First, considering the mode-dependent time delays, a different delay-dependent H∞ performance condition for Markovian jump systems is proposed by constructing an improved Lyapunov-Krasovskii function. Based on this new H∞ disturbance attenuation criterion, a full-order dynamic output feedback controller that ensures the exponential mean-square stability and a prescribed H∞ performance level for the resulting closed-loop system is designed. Illustrative numerical examples are provided to demonstrate the effectiveness of the proposed approach.展开更多
This paper deals with delay-dependent stochastic stability and bounded real lemma （BRL） for Markovian jump linear systems with interval time-varying delays. By constructing some new Lyapunov functionals and using th...This paper deals with delay-dependent stochastic stability and bounded real lemma （BRL） for Markovian jump linear systems with interval time-varying delays. By constructing some new Lyapunov functionals and using the Jensen＇s integral inequality method, the free weighting matrix method, the convex combination method and the delay decomposition approach integratedly, some less conservative delay-dependent stability criteria and BRL are established. Numerical examples are given to show the effectiveness of the proposed method.展开更多
The H_∞state estimation problem for a class of stochastic neural networks with Markovian jumping parameters and leakage delay is investigated in this paper.By employing a suitable Lyapunov functional and inequality t...The H_∞state estimation problem for a class of stochastic neural networks with Markovian jumping parameters and leakage delay is investigated in this paper.By employing a suitable Lyapunov functional and inequality technic,the suffcient conditions for exponential stability as well as prescribed H_∞norm level of the state estimation error system are proposed and verified,and all obtained results are expressed in terms of strict linear matrix inequalities(LMIs).Examples and simulations are presented to show the effectiveness of the proposed methods,at the same time,the effect of leakage delay on stability of neural networks system and on the attenuation level of state estimator are discussed.展开更多
This study investigates the problem of robust mode-dependent control for a class of discrete-time singular Markovian jump systems with time-varying delay.Using the Lyapunov functional method and delay decomposition ap...This study investigates the problem of robust mode-dependent control for a class of discrete-time singular Markovian jump systems with time-varying delay.Using the Lyapunov functional method and delay decomposition approach,Linear matrix inequality(LMI)-based sufficient conditions for the stochastic stability and robust modedependent control are developed,which guarantee the considered systems to be regular,causal and stochastically stabilisable.Finally,numerical examples are presented to demonstrate the effectiveness and advantages of the theoretical results.展开更多
This paper investigates the robust stochastic stability and H∞ analysis for stochastic systems with time-varying delay and Markovian jump. By using the freeweighting matrix technique, i.e., He＇s technique, and a sto...This paper investigates the robust stochastic stability and H∞ analysis for stochastic systems with time-varying delay and Markovian jump. By using the freeweighting matrix technique, i.e., He＇s technique, and a stochastic Lyapunov-Krasovskii functional, new delay-dependent criteria in terms of linear matrix inequalities are derived for the the robust stochastic stability and the H∞ disturbance attenuation. Three numerical examples axe given. The results show that the proposed method is efficient and much less conservative than the existing results in the literature.展开更多
In this paper, global exponential stochastic stability based continuous gain-scheduled robust L-two-L- infinity filtering problem is studied for a class of stochastic neutral systems subject to time-varying parameters...In this paper, global exponential stochastic stability based continuous gain-scheduled robust L-two-L- infinity filtering problem is studied for a class of stochastic neutral systems subject to time-varying parameters. First, the stochastic time-varying neutral systems are described by a series of stochastic time-constant systems at some selected time points, then based on stochastic Lyapunov-Krasovskii functional approach, a new globally exponentially stochastically stabilizable criterion is derived for each of the jumping system by means of linear matrix inequalities. Subsequently, L- two-L-infinity filtering systems are designed for such linear jump systems. Finally; continuous gain-scheduled approach is employed to design time-varying filter systems for the whole working region. A simulation example shows the effectiveness and potential of the developed techniques.展开更多
文摘This paper deals with the H∞ control problems of Markovian jump systems with mode-dependent time delays. First, considering the mode-dependent time delays, a different delay-dependent H∞ performance condition for Markovian jump systems is proposed by constructing an improved Lyapunov-Krasovskii function. Based on this new H∞ disturbance attenuation criterion, a full-order dynamic output feedback controller that ensures the exponential mean-square stability and a prescribed H∞ performance level for the resulting closed-loop system is designed. Illustrative numerical examples are provided to demonstrate the effectiveness of the proposed approach.
基金supported by the National Natural Science Foundation of China(No.61174140)
文摘This paper deals with delay-dependent stochastic stability and bounded real lemma （BRL） for Markovian jump linear systems with interval time-varying delays. By constructing some new Lyapunov functionals and using the Jensen＇s integral inequality method, the free weighting matrix method, the convex combination method and the delay decomposition approach integratedly, some less conservative delay-dependent stability criteria and BRL are established. Numerical examples are given to show the effectiveness of the proposed method.
基金supported by the Research Fund for the Doctoral Program of Guang Dong Province of China (No. 2015A030310336)
文摘The H_∞state estimation problem for a class of stochastic neural networks with Markovian jumping parameters and leakage delay is investigated in this paper.By employing a suitable Lyapunov functional and inequality technic,the suffcient conditions for exponential stability as well as prescribed H_∞norm level of the state estimation error system are proposed and verified,and all obtained results are expressed in terms of strict linear matrix inequalities(LMIs).Examples and simulations are presented to show the effectiveness of the proposed methods,at the same time,the effect of leakage delay on stability of neural networks system and on the attenuation level of state estimator are discussed.
基金the Sichuan Science and Technology Plan[grant number 2017GZ0165].
文摘This study investigates the problem of robust mode-dependent control for a class of discrete-time singular Markovian jump systems with time-varying delay.Using the Lyapunov functional method and delay decomposition approach,Linear matrix inequality(LMI)-based sufficient conditions for the stochastic stability and robust modedependent control are developed,which guarantee the considered systems to be regular,causal and stochastically stabilisable.Finally,numerical examples are presented to demonstrate the effectiveness and advantages of the theoretical results.
基金Project supported by the National Natural Science Foundation of China (No. 60874027)
文摘This paper investigates the robust stochastic stability and H∞ analysis for stochastic systems with time-varying delay and Markovian jump. By using the freeweighting matrix technique, i.e., He＇s technique, and a stochastic Lyapunov-Krasovskii functional, new delay-dependent criteria in terms of linear matrix inequalities are derived for the the robust stochastic stability and the H∞ disturbance attenuation. Three numerical examples axe given. The results show that the proposed method is efficient and much less conservative than the existing results in the literature.
基金supported by the National Natural Science Foundation of China (No. 60974001)
文摘In this paper, global exponential stochastic stability based continuous gain-scheduled robust L-two-L- infinity filtering problem is studied for a class of stochastic neutral systems subject to time-varying parameters. First, the stochastic time-varying neutral systems are described by a series of stochastic time-constant systems at some selected time points, then based on stochastic Lyapunov-Krasovskii functional approach, a new globally exponentially stochastically stabilizable criterion is derived for each of the jumping system by means of linear matrix inequalities. Subsequently, L- two-L-infinity filtering systems are designed for such linear jump systems. Finally; continuous gain-scheduled approach is employed to design time-varying filter systems for the whole working region. A simulation example shows the effectiveness and potential of the developed techniques.
