Delay-dependent H∞ control for jumping delayed systems with two Markov processes
This paper addresses the H∞ control problem for jumping delayed systems with two separable Markov processes. The objective is to design a controller such that the resulting closed-loop system is exponentially mean-square stable with a given decay rate and satisfies a prescribed H∞ performance level. A decay-rate-dependent condition is obtained for the existence of admissible controllers in term of linear matrix inequalities. Two numerical examples are presented to demonstrate the effectiveness of the proposed method.
KeywordsExponential stability H∞ control jumping delayed systems Markov processes
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- J. Dong and G. Yang, “Fuzzy controller design for Markovian jump nonlinear systems,” Int. J. Control, Automation, and Systems, vol. 5, pp. 712–717, 2007.Google Scholar
- Y. Zhang and E. Tian, “Novel robust delay-dependent exponential stability criteria for stochas tic delayed recurrent neural networks,” Int. J. Innovative Computing, Information and Control, vol. 5, pp. 2735–2744, 2009.Google Scholar