Stabilization of Markovian Jump Systems With Stochastically Unmatched Mode

This paper considers the stabilization problem of continuous-time Markovian jump systems (MJSs) by applying a new controller. Different from the traditional methods, a kind of controller experiencing stochastically unmatched modes is proposed. More importantly, its mismatching property is modeled by a stochastically conditional probability and quantized by a given transition probability density function (PDF). Based on the proposed model, more general but less conservative results are presented in terms of linear matrix inequalities (LMIs). Then, some extensions about the expectation of truncated PDF matrix uncertain, partially known and nonsingular respectively are further considered. Finally, a practical example is used to illustrate the effectiveness and superiority of the developed theoretical results.