Delay-range-dependent exponential H∞ synchronization of a class of delayed neural networks

Abstract This article aims to present a multiple delayed state-feedback control design for exponential H ∞ synchronization problem of a class of delayed neural networks with multiple time-varying discrete delays. On the basis of the drive–response concept and by introducing a descriptor technique and using Lyapunov–Krasovskii functional, new delay-range-dependent sufficient conditions for exponential H ∞ synchronization of the drive–response structure of neural networks are driven in terms of linear matrix inequalities (LMIs). The explicit expression of the controller gain matrices are parameterized based on the solvability conditions such that the drive system and the response system can be exponentially synchronized. A numerical example is included to illustrate the applicability of the proposed design method.

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