## Delay-range-dependent exponential $$H\infty$$ synchronization of a class of delayed neural networks.(English)Zbl 1198.93179

Summary: This article aims to present a multiple delayed state-feedback control design for exponential $$H\infty$$ 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 $$H\infty$$ 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.
Editorial remark: There are doubts about a proper peer-reviewing procedure of this journal. The editor-in-chief has retired, but, according to a statement of the publisher, articles accepted under his guidance are published without additional control.

### MSC:

 93D15 Stabilization of systems by feedback 93B36 $$H^\infty$$-control 37N35 Dynamical systems in control 92B20 Neural networks for/in biological studies, artificial life and related topics
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### References:

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