Delay-dependent stochastic stability and H∞ analysis for time-delay systems with Markovian jumping parameters

作者: Yong-Yan Cao , James Lam , Lisheng Hu

DOI: 10.1016/J.JFRANKLIN.2003.09.001

关键词:

摘要: Abstract This paper studies the problem of stochastic stability and H∞ disturbance attenuation for linear continuous-time time-delay systems that possess randomly Markovian jumping parameters. A delay-dependent sufficient condition on with given performance is proposed using Lyapunov–Krasovskii theory. The conditions are formulated as a set coupled matrix inequalities.

参考文章(21)
Harold J. Kushner, Stochastic Stability and Control ,(2012)
E.K. Boukas, G.X. Liu, Delay-dependent robust stability and H/sub /spl infin// control of jump linear systems with time-delay conference on decision and control. ,vol. 2, pp. 1521- 1526 ,(2000) , 10.1109/CDC.2000.912075
O.L.V. Costa, R.P. Marques, Mixed H/sub 2//H/sub /spl infin//-control of discrete-time Markovian jump linear systems IEEE Transactions on Automatic Control. ,vol. 43, pp. 95- 100 ,(1998) , 10.1109/9.654895
Yong-Yan Cao, J. Lam, Robust H/sub /spl infin// control of uncertain Markovian jump systems with time-delay IEEE Transactions on Automatic Control. ,vol. 45, pp. 77- 83 ,(2000) , 10.1109/9.827358
Joon Hwa Lee, Sang Woo Kim, Wook Hyun Kwon, Memoryless H/sup /spl infin// controllers for state delayed systems IEEE Transactions on Automatic Control. ,vol. 39, pp. 159- 162 ,(1994) , 10.1109/9.273356
Y. Ji, H.J. Chizeck, Controllability, stabilizability, and continuous-time Markovian jump linear quadratic control IEEE Transactions on Automatic Control. ,vol. 35, pp. 777- 788 ,(1990) , 10.1109/9.57016
Jian-Bo He, Qing-Guo Wang, Tong-Heng Lee, H ∞ disturbance attenuation for state delayed systems Systems & Control Letters. ,vol. 33, pp. 105- 114 ,(1998) , 10.1016/S0167-6911(97)00114-X
T. Mori, Criteria for asymptotic stability of linear time-delay systems IEEE Transactions on Automatic Control. ,vol. 30, pp. 158- 161 ,(1985) , 10.1109/TAC.1985.1103901