Synchronization of Uncertain Coupled Neural Networks With Time-Varying Delay of Unknown Bound via Distributed Delayed Impulsive Control

This article investigates the issue of synchronization for a type of uncertain coupled neural networks (CNNs) involving time-varying delay with unmeasured or unknown bound by delayed impulsive control with distributed delay. A new Halanay-like delayed differential inequality is presented, and both cases of impulsive control and impulsive perturbation are well-considered. Stemmed from this new inequality and techniques of linear matrix inequalities (LMIs), some sufficient criteria are obtained to achieve both dynamically and statically global mu-synchronization of the delayed CNNs, and a distributed-delay-dependent impulsive controller is designed. A numerical simulation is provided to demonstrate the validity of the obtained theoretical results.

Automated summary

This article investigates the synchronization issue of a type of uncertain coupled neural networks involving time-varying delay with unmeasured or unknown bound by delayed impulsive control with distributed delay. A new Halanay-like delayed differential inequality is presented, and sufficient criteria are obtained to achieve global mu-synchronization of the delayed neural networks. A numerical simulation is provided to demonstrate the validity of the obtained theoretical results.