Finite-time stability and stabilization for Itô-type stochastic Markovian jump systems with generally uncertain transition rates

摘要

This paper investigates the problems of finite-time stability and stabilization for stochastic Markovian jump systems with generally uncertain transition rates (SMJSwGUTRs). Firstly, a less conservative stability criterion is presented by a mode-dependent approach. Then, the state feedback controller and observer-based controller are designed by a cone complementary linearization method, and two specific algorithms are presented. Finally, an example is used to illustrate our results.