State feedback synchronization control of impulsive neural networks with mixed delays and linear fractional uncertainties

This study examines the synchronization problem of impulsive neural networks with mixed time-varying delays and linear fractional uncertainties. The mixed time-varying delays include distributed leakage, discrete and distributed time-varying delays. Moreover, the restrictions on derivatives of time-varying delays with upper bounds to smaller than one is relaxed by introducing free weight matrices. Based on suitable Lyapunov–Krasovskii functionals and integral inequalities, linear matrix inequality approach is used to derive the sufficient conditions that guarantee the synchronization criteria of impulsive neural networks via delay dependent state feedback control. Finally, three numerical examples are given to show the effectiveness of the theoretical results.

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