TY - JOUR A2 - Xie, Xue-Jun AU - Guo, Yafeng AU - Zhu, Fanglai PY - 2012 DA - 2012/04/05 TI - New Results on Stability and Stabilization of Markovian Jump Systems with Partly Known Transition Probabilities SP - 869842 VL - 2012 AB - This paper investigates the problem of stability and stabilization of Markovian jump linear systems with partial information on transition probability. A new stability criterion is obtained for these systems. Comparing with the existing results, the advantage of this paper is that the proposed criterion has fewer variables, however, does not increase any conservatism, which has been proved theoretically. Furthermore, a sufficient condition for the state feedback controller design is derived in terms of linear matrix inequalities. Finally, numerical examples are given to illustrate the effectiveness of the proposed method. SN - 1024-123X UR - https://doi.org/10.1155/2012/869842 DO - 10.1155/2012/869842 JF - Mathematical Problems in Engineering PB - Hindawi Publishing Corporation KW - ER -