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Fixed-time Synchronization of Memristive Cohen-Grossberg Neural Networks with Impulsive Effects

Ruoyu Wei, Jinde Cao*, and Ahmed Alsaedi
International Journal of Control, Automation, and Systems, vol. 16, no. 5, pp.2214-2224, 2018

Abstract : "This paper investigates the fixed-time synchronization of memristive Cohen-Grossberg neural networks with impulsive effects. Through a nonlinear transformation and Fillipov discontinuous theory, we obtain an equivalent system from the original memristive Cohen-Grossberg neural networks. By constructing a discontinuous Lyapunov function and utilizing comparison principle, a sufficient condition is achieved to guarantee the fixed-time synchronization of drive-response system with impulsive effects. Moreover, for the purpose of reducing the cost of control, an adaptive control strategy is considered. Finally, corresponding numerical simulations are carried out to show the effectiveness of the analytic results."

Keyword : Cohen-Grossberg neural networks, fixed-time synchronization, impulsive effects, memristive.

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