Sliding-mode synchronization for nonidentical Markovian jump neural networks with leakage delay and partially unknown transition probabilities
Jing Lv, Xiaomei Zhang, Yan Lei, Yueping Zhu · 2014
This paper deals with an integral sliding mode control design for synchronization of two nonidentical Markovian jump neural networks with leakage delay, discrete time-varying delays and partially unknown transition probabilities. Based on a mode-dependent Lyapunov-Krasovskii functional combined with Finsler's lemma, delay-dependent conditions guaranteeing the mean-square exponential stability of the synchronization error dynamics in sliding mode are derived in terms of linear matrix inequalities. Then, a sliding mode synchronization controller is designed such that the synchronization error system's trajectories converge to predefined sliding surfaces in a finite time and remain there for all subsequent times. Finally, a numerical example is provided to illustrate the effectiveness of the proposed approach.