Further Results on Stability Analysis of Discrete-Time Markov Jump Linear Systems with Time-Varying Delay and Partly Known Transition Probabilities
Joint Authors
Zhao, Xingang
Zhao, Yiwen
Han, Jianda
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-03-02
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
This paper is concerned with the stability analysis of discrete-time Markov jump linear systems (MJLSs) with time-varying delay and partly known transition probabilities.
The time delay is varying between lower and upper bounds, and the partly known transition probabilities cover the cases of known, uncertain with known lower and upper bounds, and completely unknown, which is more general than theexisting result.
Via constructing an appropriate Lyapunov function and employing a new technique to separate Lyapunov variables from unknown transition probabilities, a novel stability criterion is obtained in the framework of linear matrix inequality.
A numerical example is given to show the effectiveness of the proposed approach.
American Psychological Association (APA)
Zhao, Xingang& Han, Jianda& Zhao, Yiwen. 2015. Further Results on Stability Analysis of Discrete-Time Markov Jump Linear Systems with Time-Varying Delay and Partly Known Transition Probabilities. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-6.
https://search.emarefa.net/detail/BIM-1074046
Modern Language Association (MLA)
Zhao, Xingang…[et al.]. Further Results on Stability Analysis of Discrete-Time Markov Jump Linear Systems with Time-Varying Delay and Partly Known Transition Probabilities. Mathematical Problems in Engineering No. 2015 (2015), pp.1-6.
https://search.emarefa.net/detail/BIM-1074046
American Medical Association (AMA)
Zhao, Xingang& Han, Jianda& Zhao, Yiwen. Further Results on Stability Analysis of Discrete-Time Markov Jump Linear Systems with Time-Varying Delay and Partly Known Transition Probabilities. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-6.
https://search.emarefa.net/detail/BIM-1074046
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1074046