Hâˆ‍ State Feedback Control for Semi Markov Jump Linear Systems With Time Varying Delays

Abstract

SemiMarkov jump linear systems (SMJLSs) are more general than Markov jump linear systems in modeling practical systems. This paper investigates the Hâˆ‍ control problem for a class of semiMarkov jump linear systems with timevarying delays. The sojourntime partition technique is firstly proposed for the delayed stochastic switching system. A sufficient condition for designing the state feedback controller is then established. Moreover, the sufficient condition is expressed as a set of linear matrix inequalities which can be readily solved. A numerical example illustrates the effectiveness of the proposed controller design technique.