Synchronization of competitive neural networks with different time scales and time-varying delay based on delay partitioning approach

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Abstract

In this paper, the synchronization problem for a class of competitive neural networks with different time scales and time-varying delay is investigated. A novel delay partitioning approach is developed to derive a delay-dependent condition guaranteeing the response system can be synchronized with the drive system. The design of the gain matrix of the linear feedback controller can be achieved by solving a linear matrix inequality. By constructing a novel Lyapunov–Krasovskii functional, which can guarantee the new synchronization conditions to be less conservative than those in the literature. This paper also presents an illustrative example and uses simulated results of this example to show the feasibility and effectiveness of the proposed scheme.