Asymptotic Stability Conditions and Estimates of Solutions for Nonlinear Multiconnected Time-Delay Systems

被引：32

作者：

Aleksandrov, Alexander ^{[1
]}

Aleksandrova, Elena ^{[1
]}

Zhabko, Alexey ^{[1
]}

机构：

[1] St Petersburg State Univ, 7-9 Univ Skaya Nab, St Petersburg 199034, Russia

来源：

CIRCUITS SYSTEMS AND SIGNAL PROCESSING | 2016年 / 35卷 / 10期

基金：

俄罗斯基础研究基金会;

关键词：

Time-delay systems; Stability; Lyapunov function; Razumikhin theorem; Multiconnected systems; Differential inequalities; LARGE-SCALE SYSTEMS; VARYING DELAYS; STABILIZATION;

D O I：

10.1007/s00034-015-0227-x

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

This paper examines certain classes of multiconnected (complex) systems with time-varying delay. Delay-independent stability conditions and estimates of the convergence rate of solutions to the origin for those systems are derived. It is shown that the exponents in the obtained estimates depend on the parameters of Lyapunov functions constructed for the corresponding isolated subsystems. The problem of computing parameter values that provide the most precise estimates is investigated. Some examples are presented to demonstrate the effectiveness of the proposed approaches.

引用

页码：3531 / 3554

页数：24

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