Input-to-state stability of nonlinear switched systems via Lyapunov method involving indefinite derivative
type: Item
instance of: scholarly article
title: Input-to-state stability of nonlinear switched systems via Lyapunov method involving indefinite derivative
zbMATH Open document ID: 1390.93708
DOI: 10.1155/2018/8701219
author: Peng Li
author: Xiaodi Li
author: Jinde Cao
published in: Complexity
publication date: 2018-06-25T00:00:00Z
review text: Summary: This paper studies the input-to-state stability (ISS) of nonlinear switched systems. By using Lyapunov method involving indefinite derivative and average dwell-time (ADT) method, some sufficient conditions for ISS are obtained. In our approach, the time-derivative of the Lyapunov function is not necessarily negative definite and that allows wider applications than existing results in the literature. Examples are provided to illustrate the applications and advantages of our general results and the proposed approach.
Mathematics Subject Classification ID: 93D25
Mathematics Subject Classification ID: 93C10
Mathematics Subject Classification ID: 93C30
Mathematics Subject Classification ID: 93D30
zbMATH DE Number: 6893977
zbMATH Keywords: input-to-state stability (ISS)
zbMATH Keywords: nonlinear switched systems
zbMATH Keywords: Lyapunov method
zbMATH Keywords: indefinite derivative and average dwell-time (ADT) method
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/8701219
OpenAlex ID: W2788731478
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description: scientific article; zbMATH DE number 6893977