New results on stabilization analysis for fuzzy semi-Markov jump chaotic systems with state quantized sampled-data controller

This paper, by designing a state quantized sampled-data controller, studies the issue of stochastic stabilization for fuzzy chaotic semi-Markov jump systems (FCSMJSs). First of all, to fully utilize more inner sampling information, a newly augmented Lyapunov functional is constructed on the basis of the proposed sampling-instant-to-present-time fragmentation (SITPTF) approach. Next, a new zero-valued equation, which increases the combinations of some resulting vectors, is given for the first time. After that, a useful discontinuous Lyapunov functional (DLF), which takes full advantage of the property of Wirtinger inequality, is proposed for the FCSMJSs with state quantized sampled-data controller. With the novel augmented Lyapunov functional, the DLF and new zero-valued equation, stochastic stabilization conditions are established. Moreover, in the case of no semi-Markov jump, new stabilization criteria are also got. Compared with some previous criteria, the novel stabilization criteria show less conservatism. Finally, the effectiveness and advantages of the proposed results are shown by several numerical examples. (C) 2020 Elsevier Inc. All rights reserved.