H∞ control of 2-D continuous Markovian jump delayed systems with partially unknown transition probabilities

This study focuses on stochastic stability and H∞ control of two-dimensional (2-D) continuous delayed Markovian jump systems (MJSs) with partial information on transition probability. At first, a sufficient condition for the stochastic stability of 2-D MJSs is proposed by choosing an appropriate Lya...

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Bibliographic Details
Published in:Information sciences 2017-03, Vol.382-383, p.274-291
Main Authors: Ghous, Imran, Xiang, Zhengrong, Karimi, Hamid Reza
Format: Article
Language:English
Subjects:
2-D systems
H∞ control
Markovian jump systems
Partially unknown transition probabilities
Roesser model
Stochastic stability
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Summary:This study focuses on stochastic stability and H∞ control of two-dimensional (2-D) continuous delayed Markovian jump systems (MJSs) with partial information on transition probability. At first, a sufficient condition for the stochastic stability of 2-D MJSs is proposed by choosing an appropriate Lyapunov–Krasovskii functional. Then, the results are developed by designing a state feedback controller that guarantees the stochastic stability of the resultant closed-loop system with a prescribed H∞ performance level γ. Finally, the proposed results are validated with the help of examples.
ISSN:0020-0255
1872-6291
DOI:10.1016/j.ins.2016.12.018