Mean square exponential stability analysis of impulsive stochastic switched systems with mixed delays

Exponential Stability of Switched Systems with Mixed Time Delays

This paper address the exponential stability for a class of switched systems with mixed time delays. Based on linear matrix inequalities and Lyapunov-Krasovskii functional approach, a geometrically switching rule for the exponential stability of the system is designed. The approach allows to compute simultaneously the two bounds that characterize the exponential stability rate of the solution. ...

Exponential Stability for Switched Systems with Mixed Time Delays

The global exponential stability problem for a class of switched systems with mixed time delays is investigated in this paper. LMI-based delay-dependent and delay-independent criteria are proposed to guarantee the exponential stability for our considered systems. Razumikhin-like approach and Leibniz-Newton formula are used to find the stability results. Finally, a numerical example is illustrat...

Mean Square Stability of Impulsive Stochastic Differential Systems

Mean square exponential synchronization for impulsive coupled neural networks with time-varying delays and stochastic disturbances

In this article, the mean square exponential synchronization of a class of impulsive coupled neural networks with time-varying delays and stochastic disturbances is investigated. The information transmission among the systems can be directed and lagged, that is, the coupling matrices are not needed to be symmetrical and there exist interconnection delays. The dynamical behaviors of the networks...

Mean square exponential and non-exponential asymptotic stability of impulsive stochastic Volterra equations

* Correspondence: [email protected] Department of mathematics, Shanghai Jiaotong University, Shanghai, 200240, China Full list of author information is available at the end of the article Abstract In this article, some inequalities on convolution equations are presented firstly. The mean square stability of the zero solution of the impulsive stochastic Volterra equation is studied by using ...