Technical communique: Stabilization of discrete-time Markovian jump linear systems via time-delayed and impulsive controllers

Authors:
Shengtao Pan;Jitao Sun;Shouwei Zhao
Affiliations:
Department of Mathematics, Tongji University, 200092, China;Department of Mathematics, Tongji University, 200092, China;Department of Mathematics, Tongji University, 200092, China
Venue:
Automatica (Journal of IFAC)
Year:
2008

Citing 5
Cited 2

Technical communique: Robust sampled-data control for Markovian jump linear systems

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Transition probability bounds for the stochastic stability robustness of continuous- and discrete-time Markovian jump linear systems

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p-Moment stability of stochastic differential equations with impulsive jump and Markovian switching

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Brief On robust stabilization of Markovian jump systems with uncertain switching probabilities

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Stabilization of discrete-time Markovian jump linear systems via time-delayed controllers

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Abstract

This paper discusses the stabilization problem for a class of discrete-time Markovian jump linear systems with time-delayed and impulsive controllers. The delay in the mode signal is assumed to be constant, while that in the system state may be time-varying. First, a hybrid controller with delay and impulses is introduced for the discrete-time stochastic systems. Then, some sufficient conditions are proposed for the design of a hybrid controller such that the closed-loop system is stochastically stable. Finally, a numerical example is provided to illustrate the effectiveness of the proposed result.