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 netwo...

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Veröffentlicht in:	Neural networks 2017-01, Vol.85, p.1-9
Hauptverfasser:	He, Wangli, Qian, Feng, Cao, Jinde
Format:	Artikel
Sprache:	eng
Schlagworte:	Algorithms Distributed delays Impulsive control Neural networks Neural Networks (Computer) Pinning synchronization
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creator	He, Wangli Qian, Feng Cao, Jinde
description	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.
doi_str_mv	10.1016/j.neunet.2016.09.002
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subjects	Algorithms Distributed delays Impulsive control Neural networks Neural Networks (Computer) Pinning synchronization
title	Pinning-controlled synchronization of delayed neural networks with distributed-delay coupling via impulsive control
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