Improved Input-to-State Stability Analysis of Discrete-Time Time-Varying Systems

被引：1

作者：

Zhao, Tianrui ^{[1
]}

Jia, Lili ^{[2
]}

Luo, Weiwei ^{[1
]}

机构：

[1] Harbin Inst Technol, Ctr Control Theory & Guidance Technol, Harbin 150006, Heilongjiang, Peoples R China

[2] Yunnan Univ, Dianchi Coll, Kunming 650228, Yunnan, Peoples R China

来源：

INTELLIGENT ROBOTICS AND APPLICATIONS (ICIRA 2018), PT I | 2018年 / 10984卷

关键词：

Discrete-time systems; Input-to-state stability; Nonlinear time-varying systems; Indefinite time-difference; Switched systems; IMPROVED RAZUMIKHIN; NONLINEAR-SYSTEMS; DELAY; THEOREM;

D O I：

10.1007/978-3-319-97586-3_12

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

This note is concerned with input-to-state stability analysis of discrete-time switched nonlinear time-varying (DSNTV) systems. Some sufficient conditions are derived for testing input-to-state stability (ISS) of discrete-time nonlinear time-varying (DNTV) systems. ISS of DSNTV systems is further studied. The main feature of these obtained results is that the time-difference of Lyapunov functions of subsystems is allowed to be indefinite. Globally uniformly asymptotically stability (GUAS) and globally uniformly exponentially stability (GUES) concepts are utilized for analysis stability of general DNTV and DSNTV systems. An numerical example demonstrate the effectiveness of the proposed approaches.

引用

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页码：132 / 143

页数：12

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