Shi, P.Yin, Y.Liu, F.Zhang, J.2014-08-072014-08-072014Information Sciences, 2014; 265:123-1380020-02551872-6291http://hdl.handle.net/2440/84256In this paper, a robust ^H∞ controller is designed for saturated Markov jump systems with uncertainties and time varying transition probabilities. The time-varying transition probability uncertainty is described as a polytope set. Stochastic stability is analyzed for the underlying systems by Lyapunov function approach and a sufficient condition is derived to design controllers such that the resulting closed-loop system is stochastically stable and a prescribed ^H∞ performance is also achieved. Furthermore, the attraction domain of this Markov jump system is estimated and evaluated. A simulation example is given to show the effectiveness of the developed techniques. © 2013 Elsevier Inc. All rights reserved.enCopyright © 2014 Elsevier Inc. All rights reserved.H∞ controlMarkov jump systemActuator saturationJournal article002013500510.1016/j.ins.2013.12.0500003335026000092-s2.0-8489381090216300Shi, P. [0000-0001-6295-0405] [0000-0001-8218-586X] [0000-0002-0864-552X] [0000-0002-1358-2367] [0000-0002-5312-5435]