Input-to-state stability analysis for homogeneous hybrid systems with bounded time-varying delays

被引：19

作者：

He, Yan ^{[1
]}

Sun, Xi-Ming ^{[1
]}

Liu, Jun ^{[2
]}

Wu, Yuhu ^{[1
]}

机构：

[1] Dalian Univ Technol, Dept Control Sci & Engn, Dalian 116024, Peoples R China

[2] Univ Waterloo, Dept Appl Math, Waterloo, ON, Canada

来源：

INTERNATIONAL JOURNAL OF CONTROL | 2021年 / 94卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Homogeneity; hybrid systems; delays; input-to-state stability; POSITIVE SYSTEMS; ISS; STABILIZATION; NETWORKS; THEOREMS;

D O I：

10.1080/00207179.2019.1597278

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 problem of the input-to-state stability for homogeneous hybrid systems with bounded time-varying delays. First, some homogeneous concepts and properties are introduced and applied to hybrid systems with bounded time-varying delays. Furthermore, by using Lyapunov-Razumikhin approach, some sufficient conditions are extended to the hybrid systems to analyze the input-to-state stability, and with the homogeneous assumption, some special results can be obtained. Finally, numerical examples are given to illustrate the applicability and the effectiveness of the proposed results.

引用

页码：422 / 432

页数：11

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