Global Finite-Time Stability for Stochastic Impulsive Systems via Comparison Approach

被引：0

作者：

Gao, Qin ^{[1
]}

Zhou, Xiao-Qi ^{[2
]}

Liu, Bin ^{[1
]}

Liu, Dong-Nan ^{[1
]}

机构：

[1] Hunan Univ Technol, Coll Sci, Zhuzhou 412000, Peoples R China

[2] Hunan Univ Informat Technol, Sch Gen Educ, Changsha 410151, Peoples R China

来源：

2021 PROCEEDINGS OF THE 40TH CHINESE CONTROL CONFERENCE (CCC) | 2021年

基金：

中国国家自然科学基金;

关键词：

Finite-time stability (FTS); stochastic impulsive systems (SIS); Ito's formula; comparison principle; Lyapunov-like function; TO-STATE STABILITY; EXPONENTIAL STABILITY; STABILIZATION;

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper studies the issue of finite-time stability (FTS) for stochastic impulsive systems (SIS). Based on the notion of FTS for deterministic impulsive systems in the literature, the FTS including global FTS (GFTS) is defined for SIS. By using the comparison principle of impulsive systems, two types of GFTS criteria for SIS are established. The first type of GFTS criteria requires both the flow and the jump to be stabilising for GFTS. And the settling-time is dependent on the initial state. The second type of GFTS criteria includes some state-dependent impulse conditions. From the second type of GFTS criteria, it only requires the jump to be stabilising for GFTS. And the settling-time is independent of the initial state. Finally, two examples with simulations are given to verify the effectiveness of the results.

引用

页码：1419 / 1424

页数：6

共 38 条

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