Abstract
This paper investigates the problem of asynchronous control for nonlinear Markov jump systems on the basis of fuzzy quantized sampled-data controller. The modes of the designed fuzzy controller and the modes of the original system are asynchronously operational, which has been widely used in the real world and expressed by a hidden Markov model. Based on the mode-dependent Lyapunov-Krasovskii functional (LKF) approach and some improved inequalities, a novel criterion is established to ensure the stochastic stability of fuzzy nonlinear Markov jump systems. As a particular case, with the help of novel LKF and new integral inequalities, new stability condition with less conservatism and low computational complexity for nonlinear quantized sampled-data control systems is obtained. Finally, the validity and merits of the developed method are shown by two numerical examples.
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