Robust delay-dependent stability of uncertain inertial neural networks with impulsive effects and distributed-delay. (English) Zbl 1406.92015
Summary: The robust stability problem of uncertain inertial neural networks with impulsive effects and distributed-delay is considered in the present paper. The average impulsive interval and differential inequality for delay differential equations are used to obtain the global exponential stability of the inertial neural networks. The robust distributed-delay-dependent stability criteria here are proposed in terms of both linear matrix inequalities and algebraic inequalities. Our results cannot only be used to obtain the stability of the uncertain inertial neural network with impulsive disturbance, but also to design the impulsive control for the uncertain inertial neural networks. The novel criteria complement and extend the previous works on uncertain inertial neural network with/without impulsive effects. Finally, typical numerical examples are used to test the validity of the developed stability criteria.
MSC:
| 92B20 | Neural networks for/in biological studies, artificial life and related topics |
| 34K20 | Stability theory of functional-differential equations |
| 34K25 | Asymptotic theory of functional-differential equations |
| 34K36 | Fuzzy functional-differential equations |
Keywords:
robust exponential stability; inertial neural networks; distributed-delay; impulsive effectsReferences:
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