Synchronisation control for neutral-type multi-slave stochastic hybrid systems

Jun Zhou, Feng Pan, Tingting Cai, Yuqing Sun, Wuneng Zhou and Huashan Liu

International Journal of Systems Science, 2017, vol. 48, issue 13, 2742-2751

Abstract: In this paper, an exponential synchronisation problem for neutral-type multi-slave hybrid systems with stochastic perturbation is discussed, where the adaptive synchronisation model involves a master system and multiple slave systems. By the use of generalised Ito^$\hat{o}$'s formula and M-matrix method, a sufficient condition is obtained to guarantee the stability of the error system, and the update law of the feedback controller is determined to deduce the synchronisation between the master system and the sum system of all slave systems. Finally, a numerical example is given to illustrate the effectiveness of the results obtained in this paper.

Date: 2017
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DOI: 10.1080/00207721.2017.1346725

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