Finite-time synchronization of competitive neural networks with mixed delays

Tingting Su, Xinsong Yang · Discrete and Continuous Dynamical Systems - B · 2016

In this paper, finite-timesynchronization of competitive neural networks (CNNs) with bounded time-varying discrete and distributed delays (mixed delays) is investigated.A simple controller is added to response (slave) system such that it canbe synchronized with the driving (master) CNN ina setting time. By introducing a suitable Lyapunov-Krasovskii'sfunctional and utilizing some inequalities, several sufficientconditions are obtained to ensure the control object. Moreover, the settingtime is explicitly given. Different from previous results,the setting is related to both the initial value of error systemand the time delays. Finally, numerical examples are given to showthe effectiveness of the theoretical results.

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