Control Design of Detectable Periodic Markov Jump Systems

Ting Hou and Hongji Ma

Mathematical Problems in Engineering, 2015, vol. 2015, 1-7

Abstract:

An infinite horizon control problem is addressed for discrete-time periodic Markov jump systems with -dependent noise. Above all, by use of the spectral criterion of detectability, an extended Lyapunov stability theorem is developed for the concerned dynamics. Further, based on a game theoretic approach, a state-feedback control design is proposed. It is shown that under the condition of detectability feedback gain can be constructed through the solution of a group of coupled periodic difference equations.

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:382756

DOI: 10.1155/2015/382756

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