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2012 | OriginalPaper | Chapter

Stability of Discontinuous Systems Based on -K+L-Type Comparison Systems

Authors : Zhi-shuai Ding, Zhen Li, Gui-fang Cheng

Published in: Advances in Computer, Communication, Control and Automation

Publisher: Springer Berlin Heidelberg

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This paper mainly discusses the stability problem of

–K+L

systems with discontinuous right-hand sides. In the framework of Filippov solutions, motivated by the theory of nonsmooth analysis, when Lyapunov function is Lipschitz continuous and regular, comparison principles and Lyapunov stability theorems with respect to a closed invariant set for

–K+L

systems with discontinuous right-hand sides are presented respectively.

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Metadata
Title
Stability of Discontinuous Systems Based on -K+L-Type Comparison Systems
Authors
Zhi-shuai Ding
Zhen Li
Gui-fang Cheng
Copyright Year
2012
Publisher
Springer Berlin Heidelberg
Book
Advances in Computer, Communication, Control and Automation

Print ISBN: 978-3-642-25540-3

Electronic ISBN: 978-3-642-25541-0

Copyright Year: 2012

DOI
https://doi.org/10.1007/978-3-642-25541-0_10