Hybrid control strategy for positive switched delay systems with unstable modes

被引：2

作者：

Cao, Zhenrui ^{[1
]}

Du, Yingxue ^{[1
]}

Qiu, Jianlong ^{[1
]}

Zhang, Ancai ^{[1
]}

Liu, Zhi ^{[1
]}

机构：

[1] Linyi Univ, Sch Automat & Elect Engn, Linyi 276000, Peoples R China

来源：

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2023年 / 360卷 / 09期

基金：

中国国家自然科学基金;

关键词：

FINITE-TIME STABILIZATION; EXPONENTIAL STABILITY; DISCRETE; FEEDBACK;

D O I：

10.1016/j.jfranklin.2023.04.001

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, the problem of hybrid control strategy (HCS) for time-varying delay positive switched linear systems (PSLS) with unstable modes is studied. Firstly, the HCS, which includes minimum switching strategy and discretized state feedback controller, is applied to PSLS with time-varying delay for the first time. Secondly, by using the discretized multiple linear copositive Lyapunov-Krasovskii functional, a sufficient condition of globally uniformly asymptotically stable (GUAS) under the HCS is given. Finally, the HCS is extended to discrete-time positive switched time delay systems, and a delay independent stabilization condition is obtained in the discrete system. The effectiveness of the HCS is verified by two simulation examples.(c) 2023 The Franklin Institute. Published by Elsevier Inc. All rights reserved.

引用

页码：6211 / 6231

页数：21

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