Stability results for systems described by coupled retarded functional differential equations and functional difference equations

被引：45

作者：

Karafyllis, Iasson ^{[1
]}

Pepe, Pierdomenico ^{[2
]}

Jiang, Zhong-Ping ^{[3
]}

机构：

[1] Tech Univ Crete, Dept Environm Engn, Khania 73100, Greece

[2] Univ Aquila, Dipartimento Ingn Elettr, I-67040 Laquila, Italy

[3] Polytech Inst New York, Dept Elect & Comp Engn, Metrotech Ctr 6, Brooklyn, NY 11201 USA

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 71卷 / 7-8期

基金：

美国国家科学基金会;

关键词：

Input-to-Output Stability; Small-gain theorem; Time-delay systems; SMALL-GAIN THEOREM; LYAPUNOV-KRASOVSKII METHODOLOGY; TO-STATE STABILITY; WIDE CLASS; OUTPUT STABILITY; FEEDBACK-SYSTEMS; DELAY; INPUT; ISS; STABILIZATION;

D O I：

10.1016/j.na.2009.01.244

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work stability results for systems described by coupled Retarded Functional Differential Equations (RFDEs) and Functional Difference Equations (FDEs) are presented. The results are based on the observation that the composite system can be regarded as the feedback interconnection of a subsystem described by RFDEs and a subsystem described by FDEs. Recent small-gain results and Lyapunov-like characterizations of the Weighted Input-to-Output Stability property for systems described by RFDEs and FDEs are employed. It is shown that the stability results provided in this work can be used to study stability for systems described by neutral functional differential equations and systems described by hyperbolic partial differential equations. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：3339 / 3362

页数：24

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