|Pinning Impulsive Synchronization of Stochastic Memristor-based Neural Networks with Time-varying Delays
Qianhua Fu*, Jingye Cai, Shouming Zhong, and Yongbin Yu
International Journal of Control, Automation, and Systems, vol. 17, no. 1, pp.243-252, 2019
Abstract : "This paper investigates the exponential and asymptotical synchronization of stochastic memristor-based
neural networks (SMNNs) with time-varying delays via pinning impulsive control. A novel type of pinning impulsive
controllers is introduced to synchronize the master system and slave system. Based on the physical properties
of memristor, the mathematical model of SMNNs is obtained by the theories of drive-response concept, set-valued
maps and stochastic differential inclusions. Then some sufficient verifiable conditions are constructed for the synchronization
of SMNNs by applying the Lyapunov-Krasovskii functional (LKF) method. Furthermore, some improvements
about the proposed control method are also discussed in this paper. Finally, numerical examples are
presented to demonstrate the effectiveness of the theoretical results."
Memristor-based neural networks, pinning impulsive, stochastic, synchronization, time-varying delays.