Stochastic Stability of Discrete-Time Switched Systems with a Random Switching Signal
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-10-19
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
Necessary and sufficient condition for stochastic stability of discrete-time linear switched system with a random switching signal is considered in this paper, assuming that the switching signal allows fixed dwell time before a Markov switch occurs.
It is shown that the stochastic stability of the system is equivalent to that of an auxiliary system with state transformations at switching time, whose switching signal is a Markov chain.
The stochastic stability is studied using a stochastic Lyapunov approach.
The effectiveness of the proposed approach is demonstrated by a numerical example.
American Psychological Association (APA)
Liu, Kai& Mu, Xiaowu& Wei, Jumei. 2015. Stochastic Stability of Discrete-Time Switched Systems with a Random Switching Signal. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-9.
https://search.emarefa.net/detail/BIM-1073175
Modern Language Association (MLA)
Liu, Kai…[et al.]. Stochastic Stability of Discrete-Time Switched Systems with a Random Switching Signal. Mathematical Problems in Engineering No. 2015 (2015), pp.1-9.
https://search.emarefa.net/detail/BIM-1073175
American Medical Association (AMA)
Liu, Kai& Mu, Xiaowu& Wei, Jumei. Stochastic Stability of Discrete-Time Switched Systems with a Random Switching Signal. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-9.
https://search.emarefa.net/detail/BIM-1073175
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1073175