Finite-Time Boundedness of Markov Jump System with Piecewise-Constant Transition Probabilities via Dynamic Output Feedback Control

Bin Yan, Xiaojia Zhou, Jun Cheng and Fangnian Lang

Mathematical Problems in Engineering, 2015, vol. 2015, 1-10

Abstract:

This paper first investigates the problem of finite-time boundedness of Markovian jump system with piecewise-constant transition probabilities via dynamic output feedback control, which leads to both stochastic jumps and deterministic switches. Based on stochastic Lyapunov functional, the concept of finite-time boundedness, average dwell time, and the coupling relationship among time delays, several sufficient conditions are established for finite-time boundedness and filtering finite-time boundedness. The system trajectory stays within a prescribed bound. Finally, an example is given to illustrate the efficiency of the proposed method.

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:327947

DOI: 10.1155/2015/327947

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