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Stabilisation of Discrete-Time Piecewise Homogeneous Markov Jump Linear System with Imperfect Transition Probabilities
Joint Authors
Li, Jinghao
An, Liwei
Zhang, Qing-ling
Zhai, Ding
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-03-26
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
This paper is devoted to investigating the stability and stabilisation problems for discrete-time piecewise homogeneous Markov jump linear system with imperfect transition probabilities.
A sufficient condition is derived to ensure the considered system to be stochastically stable.
Moreover, the corresponding sufficient condition on the existence of a mode-dependent and variation-dependent state feedback controller is derived to guarantee the stochastic stability of the closed-loop system, and a new method is further proposed to design a static output feedback controller by introducing additional slack matrix variables to eliminate the equation constraint on Lyapunov matrix.
Finally, some numerical examples are presented to illustrate the effectiveness of the proposed methods.
American Psychological Association (APA)
Zhai, Ding& An, Liwei& Li, Jinghao& Zhang, Qing-ling. 2015. Stabilisation of Discrete-Time Piecewise Homogeneous Markov Jump Linear System with Imperfect Transition Probabilities. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-14.
https://search.emarefa.net/detail/BIM-1074570
Modern Language Association (MLA)
Zhai, Ding…[et al.]. Stabilisation of Discrete-Time Piecewise Homogeneous Markov Jump Linear System with Imperfect Transition Probabilities. Mathematical Problems in Engineering No. 2015 (2015), pp.1-14.
https://search.emarefa.net/detail/BIM-1074570
American Medical Association (AMA)
Zhai, Ding& An, Liwei& Li, Jinghao& Zhang, Qing-ling. Stabilisation of Discrete-Time Piecewise Homogeneous Markov Jump Linear System with Imperfect Transition Probabilities. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-14.
https://search.emarefa.net/detail/BIM-1074570
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1074570