Admissible Analysis and Synthesis of Markovian Jump Linear Descriptor Systems
The control problem of Markovian jump linear descriptor systems is considered in this paper. Based on generalized multi-Lyapunov function a sufficient condition to guarantee the admissibility of system is obtained. The state feedback and statistic output feedback control law are then designed also based on the generalized multi-Lyapunov function. All the results are obtained in terms of linear matrices inequalities(LMIS). And a circuit system example is presented to illustrate the usefulness of the main results.
Yuhang Yang, Xilong Qu, Yiping Luo and Aimin Yang
Y. Zhang and W. Ni, "Admissible Analysis and Synthesis of Markovian Jump Linear Descriptor Systems", Advanced Materials Research, Vol. 216, pp. 681-686, 2011