On converse Lyapunov theorems for ISS and iISS switched nonlinear systems

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• 作者：Mancilla-Aguilar ; J.L. ; Garcí ; a ; R.A.
• 关键词：Converse Lyapunov theorems ; ISS ; IOSS ; iISS ; Nonlinear ; Switched systems
• 刊名：Systems and Control Letters
• 出版年：2001
• 出版时间：January 15, 2001
• 年：2001
• 卷：42
• 期：1
• 页码：47-53
• 全文大小：110 K

文摘

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.