Integral Input to State Stable Systems in cascade

被引：55

作者：

Chaillet, Antoine ^{[1
]}

Angeli, David ^{[2
]}

机构：

[1] Univ Paris Sud, EECI, LSS, SUPELEC, F-91192 Gif Sur Yvette, France

[2] Univ London Imperial Coll Sci Technol & Med, Dept Elect & Elect Engn, London SW11 2AZ, England

来源：

SYSTEMS & CONTROL LETTERS | 2008年 / 57卷 / 07期

关键词：

stability analysis; robustness analysis; nonlinear systems; cascades;

D O I：

10.1016/j.sysconle.2007.12.010

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The Integral Input to State Stability (iISS) property is studied in the context of nonlinear time-invariant systems in cascade. Some sufficient conditions for the preservation of the iISS property under a cascade interconnection are presented. These are first given as growth restrictions on the Supply functions of the storage function associated with each subsystem and are then expressed as solutions-based requirements. A Lyapunov-based condition guaranteeing that the cascade composed of an iISS system driven by a Globally Asymptotically Stable (GAS) one remains GAS is also provided. We also show that some of these results extend to cascades composed of more than two subsystems. (C) 2008 Elsevier B.V. All rights reserved.

引用

页码：519 / 527

页数：9

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