On converse Lyapunov theorems for ISS and iISS switched nonlinear systems

被引：110

作者：

Mancilla-Aguilar, JL ^{[1
]}

García, RA ^{[1
]}

机构：

[1] Univ Buenos Aires, Fac Ingn, Dept Matemat, RA-1063 Buenos Aires, DF, Argentina

来源：

SYSTEMS & CONTROL LETTERS | 2001年 / 42卷 / 01期

关键词：

converse Lyapunov theorems; ISS; IOSS; iISS; nonlinear; switched systems;

D O I：

10.1016/S0167-6911(00)00079-7

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper we present converse Lyapunov theorems for ISS and integral input to state stable (iISS) switched nonlinear systems. Their proofs are based on existing converse Lyapunov theorems for input-output to state stable and iISS nonlinear systems, and on the association of the switched system with a nonlinear system with inputs and disturbances that take values in a compact set. (C) 2001 Elsevier Science B.V. All rights reserved.

引用

页码：47 / 53

页数：7

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