Finite time stability of stochastic hybrid systems
type: Item
instance of: scholarly article
title: Finite time stability of stochastic hybrid systems
zbMATH Open document ID: 1406.93377
DOI: 10.1155/2014/867189
author: Ying Yang
author: Guopei Chen
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: This paper considers the finite time stability of stochastic hybrid systems, which has both Markovian switching and impulsive effect. First, the concept of finite time stability is extended to stochastic hybrid systems. Then, by using common Lyapunov function and multiple Lyapunov functions theory, two sufficient conditions for finite time stability of stochastic hybrid systems are presented. Furthermore, a new notion called stochastic minimum dwell time is proposed and then, combining it with the method of multiple Lyapunov functions, a sufficient condition for finite time stability of stochastic hybrid systems is given. Finally, a numerical example is provided to illustrate the theoretical results.
Mathematics Subject Classification ID: 93E15
Mathematics Subject Classification ID: 93E03
Mathematics Subject Classification ID: 93C30
zbMATH DE Number: 7023223
zbMATH Keywords: finite time stability
zbMATH Keywords: stochastic hybrid systems
zbMATH Keywords: stochastic minimum dwell time
Wikidata QID: Q59042162
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/867189
OpenAlex ID: W2057297380
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description: scientific article; zbMATH DE number 7023223