期刊
IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS
卷 29, 期 12, 页码 6062-6072出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TNNLS.2018.2816924
关键词
Average impulsive interval; coupled multistable neural networks (CMNNs); impulsive control; linear matrix inequality (LMI); multisynchronization
类别
资金
- National Natural Science Foundation of China [11301308, 61673247]
- Research Fund for Distinguished Young Scholars and Excellent Young Scholars of Shandong Province [JQ201719, ZR2016JL024]
This paper investigates the dynamical multisynchronization and static multisynchronization problem for delayed coupled multistable neural networks with fixed and switching topologies. To begin with, a class of activation functions as well as several sufficient conditions are introduced to ensure that every subnetwork has multiple equilibrium states. By constructing an appropriate Lyapunov function and by employing impulsive control theory and the average impulsive interval method, several sufficient conditions for multisynchronization in terms of linear matrix inequalities (LMIs) are obtained. Moreover, a unified impulsive controller is designed by means of the established LMIs. Finally, a numerical example is presented to demonstrate the effectiveness of the presented impulsive control strategy.
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