To describe dynamics behaviours of this stochastic system accurately, we introduce the concept of mean-square exponential stability. By constructing two Lyapunov–Krasovskii functionals, we establish the mean-square exponential stability on the addressed system, which extend and improve the latest results....
Li, Mean square exponential stability for uncertain delayed sto- chastic neural networks with Markovian jump parameters, Circuits, Systems and Signal Processing, vol.29, no.22, pp.331-348, 2010.Qi Zhou,Bing Chen,Chong Lin,Hongyi Li. Mean Square Exponential Stability for Uncertain Delayed ...
Abstract In this paper, stochastic functional differential equations with impulses are considered. By employing Gronwall-Bellman inequality, the stochastic analytic technique and the properties of operator semigroup, the sufficient conditions ensuring the exponential stability in mean square for mild solution...
This paper is also concerned with the mean-square exponential stability of nonlinear perturbation of a linear SDE under the condition of nonuniform mean-square exponential contraction (NMS-EC). For this purpose, the concept of second-moment regularity coefficient is introduced. This concept is ...
So far there have been few results presented on the exponential stability in mean square for impulsive stochastic difference equations with continuous time. The main aim of this work is to close this gap. Unlike earlier studies, ours does not make use of general methods such as Lyapunov methods...
In this chapter the problem of mean square exponential stability of the zero solution to the stochastic differential equations of type (1.22) is studied. The stability of a steady-state is one of the main tasks which appears in many design problems of controllers with prescribed performances....
On exponential mean-square stability of two-step Maruyama methods for stochastic delay differential equations We are concerned with the exponential mean-square stability of two-step Maruyama methods for stochastic differential equations with time delay. We propose ... W Cao,Z Zhang - 《Journal of ...
The exponential stability in mean-square for a class of polytopic uncertain systems is discussed.The mixed time delay including both time-varying and distributed delay in the system with Markovian jump parameters is described.A sufficient condition for the exponential stability in mean-square of the ...
Exponential Stability in Mean SquareFeedback LawThis paper deals with decomposition techniques for nonlinear large ndash scale stochastic systems which have the feature that the interactions between the various subsystems are nonadditive. We consider the system differential equations into a hierarchical form...
So far there are few results on the exponential stability in mean square for impulsive stochastic difference equations with continuous time. 研究了连续变量型随机脉冲差分方程的均方指数稳定性,可以弥补此问题的空白。 2. Based on parameterized neutral model transformation and Lyapunov-krasovskii functional ...