Pinning-controlled synchronization of delayed neural networks with distributed-delay coupling via impulsive control.
This paper investigates pinning synchronization of coupled neural networks with both current-state coupling and distributed-delay coupling via impulsive control. A novel impulse pinning strategy involving pinning ratio is proposed and a general criterion is derived to ensure an array of neural networks with two different topologies synchronizes with the desired trajectory. In order to handle the difficulties of high-dimension criteria, some inequality techniques and matrix decomposition methods through simultaneous diagonalization of two matrices are introduced and low-dimensional criteria are obtained. Finally, an illustrative example is given to show the effectiveness of the proposed method.
Key Laboratory of Advanced Control and Optimization for Chemical Processes, East China University of Science and Technology, Shanghai 200237, China.
Wangli
W
He
Key Laboratory of Advanced Control and Optimization for Chemical Processes, East China University of Science and Technology, Shanghai 200237, China. Electronic address: fqian@ecust.edu.cn.
Feng
F
Qian
Department of Mathematics, Southeast University, Nanjing 210096, China.
Jinde
J
Cao
D000465:Algorithms; D016571:Neural Networks, Computer
Distributed delays; Impulsive control; Neural networks; Pinning synchronization