Stability Analysis of Discrete-time System with Slowly Time-varying Delays

被引：1

作者：

Chen, Da ^{[1
]}

Liu, Xingwen ^{[1
]}

Song, Yulin ^{[2
]}

机构：

[1] Southwest Minzu Univ, Coll Elect Engn, State Ethn Affairs Commiss, Key Lab Elect Informat, Chengdu 610041, Peoples R China

[2] Arch Southwest Minzu Univ, Chengdu 610041, Peoples R China

来源：

8TH INTERNATIONAL CONFERENCE ON INFORMATION TECHNOLOGY AND QUANTITATIVE MANAGEMENT (ITQM 2020 & 2021): DEVELOPING GLOBAL DIGITAL ECONOMY AFTER COVID-19 | 2022年 / 199卷

关键词：

Discrete-time systems; homogeneous polynomial Lyapunov function; switching transform approach; stability analysis; SWITCHED NONLINEAR-SYSTEMS; LYAPUNOV;

D O I：

10.1016/j.procs.2022.01.127

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 addresses the stability issue of discrete-time systems with slowly time-varying delays. The basic idea is to convert the stability of the original system into an equivalent switched system, that is, each subsystem of the switched system corresponds to a constant delay of the original system in the entire delay interval via a switching transform approach. Moreover, the method of switched homogeneous polynomial Lyapunov function of higher order is proposed. By this approach, the results proposed are less conservative than the reported results. Finally, an example is provided to illustrate the advantages of the proposed stability results. (C) 2021 The Authors. Published by Elsevier B.V.

引用

页码：1008 / 1015

页数：8

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