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Observer-based sliding mode control for synchronization of delayed chaotic neural networks with unknown disturbance
Yongshun Zhao1, Xiaodi Li2, Peiyong Duan3
1School of Mathematics and Statistics, Shandong Normal University, Ji'nan, 250014, PR China.
Abstract:
This paper considers the synchronization of delayed chaotic neural networks with unknown disturbance via observer-based sliding mode control. We design a sliding surface involving integral structure and a discontinuous control law such that the trajectories of error system converge to the sliding surface in finite time and remain on it thereafter. Then, by constructing Lyapunov-Krasovskii functional and using the linear matrix inequality (LMI) technique, some sufficient conditions are derived to guarantee the synchronization of chaotic neural networks. The advantages of our proposed results include:(i) It can be applied to synchronous control for drive and response systems with different structures; (ii) It can be applied to the response system with unknown disturbance. Finally, a simulation example is shown to illustrate the proposed methods.
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