New stability criteria for stochastic perturbed singular systems in mean square

被引：14

作者：

Caraballo, Tomas ^{[1
]}

Ezzine, Faten ^{[2
]}

Hammami, Mohamed Ali ^{[2
]}

机构：

[1] Univ Seville, Fac Matemat, Dept Ecuac Diferenciales & Anal Numer, C Tarfia S-N, Seville 41012, Spain

[2] Univ Sfax, Fac Sci Sfax, Dept Math, Sfax, Tunisia

来源：

NONLINEAR DYNAMICS | 2021年 / 105卷 / 01期

关键词：

Linear time-varying singular systems; Standard canonical form; Consistent initial conditions; Lyapunov function; Ito formula; Brownian motion; Nontrivial solution; Practical exponential stability in mean square; Stabilization; NONLINEAR-SYSTEMS; STABILIZATION;

D O I：

10.1007/s11071-021-06620-y

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

In this paper, we investigate the problem of stability of time-varying stochastic perturbed singular systems by using Lyapunov techniques under the assumption that the initial conditions are consistent. Sufficient conditions on uniform exponential stability and practical uniform exponential stability in mean square of solutions of stochastic perturbed singular systems are obtained based upon Lyapunov techniques. Furthermore, we study the problem of stability and stabilization of some classes of stochastic singular systems. Finally, we provide numerical examples to validate the effectiveness of the main results of this paper.

引用

页码：241 / 256

页数：16

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