# Delay-Dependent $H_{\infty }$ Control and Filtering for Uncertain Markovian Jump Systems With Time-Varying Delays

@article{Xu2007DelayDependent,
title={Delay-Dependent \$H\_\{\infty \}\$  Control and Filtering for Uncertain Markovian Jump Systems With Time-Varying Delays},
author={Shengyuan Xu and James Lam and Xuerong Mao},
journal={IEEE Transactions on Circuits and Systems I: Regular Papers},
year={2007},
volume={54},
pages={2070-2077}
}
• Published 17 September 2007
• Mathematics
• IEEE Transactions on Circuits and Systems I: Regular Papers
This paper deals with the problems of delay-dependent robust Hinfin control and filtering for Markovian jump linear systems with norm-bounded parameter uncertainties and time-varying delays. In terms of linear matrix inequalities, improved delay-dependent stochastic stability and bounded real lemma (BRL) for Markovian delay systems are obtained by introducing some slack matrix variables. The conservatism caused by either model transformation or bounding techniques is reduced. Based on the…
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