On Stability Analysis of Discrete-Time Systems With Constrained Time-Delays via Nonlinear Halanay-Type Inequality

被引：17

作者：

Grifa, M. T. ^{[1
]}

Pepe, P. ^{[2
]}

机构：

[1] Univ Aquila, Dept Informat Engn Comp Sci & Math, I-67100 Laquila, Italy

[2] Univ Aquila, Dept Informat Engn Comp Sci & Math, Ctr Excellence Res DEWS, I-67100 Laquila, Italy

来源：

IEEE CONTROL SYSTEMS LETTERS | 2021年 / 5卷 / 03期

关键词：

Discrete-time delay systems; discrete-time nonlinear Halanay inequality; contrained time-delays; uniform global asymptotic stability; CONVERSE LYAPUNOV THEOREMS; GLOBAL STABILITY;

D O I：

10.1109/LCSYS.2020.3007096

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 letter aims to study the problem of stability for discrete-time fully nonlinear time-delay systems with constrained time-varying delays. A delays digraph is used to model the topology of the delay signals. By exploiting the Halanay technique and suitable Lyapunov functions, some sufficient conditions for the global asymptotic stability, uniform global asymptotic stability and global exponential stability are established. A matrix inequality is derived, and it is employed to prove the global exponential stability of linear discrete-time delay systems with delay signals obeying to a delays digraph. Finally, examples are given to illustrate the results.

引用

页码：869 / 874

页数：6

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