Finite-time stability and controller design for a class of hybrid dynamical systems with deviating argument

被引：12

作者：

Xi, Qiang ^{[1
]}

Liu, Xinzhi ^{[2
]}

机构：

[1] Shandong Univ Finance & Econ, Sch Math & Quantitat Econ, Jinan 250014, Peoples R China

[2] Univ Waterloo, Dept Appl Math, Fac Math, Waterloo N2L 3G1, ON, Canada

来源：

NONLINEAR ANALYSIS-HYBRID SYSTEMS | 2021年 / 39卷

基金：

中国国家自然科学基金;

关键词：

Finite-time stability; Deviating argument; Sampled-data control; Impulsive control; Linear matrix inequality; PIECEWISE-CONSTANT ARGUMENT; GROSSBERG NEURAL-NETWORKS; SAMPLED-DATA; LINEAR-SYSTEMS; DIFFERENTIAL-EQUATIONS; IMPULSIVE CONTROL; SYNCHRONIZATION; STABILIZATION; BOUNDEDNESS;

D O I：

10.1016/j.nahs.2020.100952

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 finite-time stability (FTS) for a class of hybrid dynamical systems with deviating argument. An improved hybrid control scheme including sampled-data control as well as impulsive control is presented. Based on the theory of differential equations with piecewise constant argument of generalized type (PCAG) and the method of average impulsive interval (AII), several Lyapunov-based sufficient criteria for FTS are obtained in terms of linear matrix inequalities (LMIs), which can be verified via Matlab. The hybrid controller, in which the sampling instants could be different from the impulse instants, is designed by the established LMIs. The results in present paper are more convenient for application and less conservative than some existing ones. Finally, an example is given to illustrate the effectiveness and advantage of the obtained results. (c) 2020 Elsevier Ltd. All rights reserved.

引用

页数：12

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