Finite-time stability of switched stochastic systems with incremental quadratic constraints

被引：0

作者：

Luo, Qinghong ^{[1
,2
]}

Zhu, Quanxin ^{[1
]}

机构：

[1] Hunan Normal Univ, Dept Math, Changsha 410081, Hunan, Peoples R China

[2] Xinyang Normal Univ, Dept Math & Stat, Xinyang 464000, Henan, Peoples R China

来源：

JOURNAL OF ANALYSIS | 2023年 / 31卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Finite-time stability; Fixed-time stability; Switched stochastic systems; Stability in probability; Incremental quadratic constraint; DIFFERENTIAL-EQUATIONS; STABILIZATION;

D O I：

10.1007/s41478-023-00605-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The main purpose of this paper is to study the stability problem of switched systems with incremental quadratic constraints. Compared with the switched systems with Lipschitz condition, the nonlinear switching system discussed in this paper are more general. Based on the mode-dependent Lyapunov function and the linear matrix inequalities method, the sufficient conditions of the stability in probability and finite-time stability of nonlinear switched systems with incremental quadratic constraints are derived. In our main results, the conditions on LV are relaxed and the coefficients can be positive or negative, so the subsystem may be stable or unstable, respectively. Finally, we give a specific example to show the effectiveness of our results.

引用

页码：2331 / 2345

页数：15

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