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Finite time stabilization of delayed neural networks. (English) Zbl 1396.93101
Summary: In this paper, the problem of finite time stabilization for a class of Delayed Neural Networks (DNNs) is investigated. The general conditions on the feedback control law are provided to ensure the finite time stabilization of DNNs. Then, some specific conditions are derived by designing two different controllers which include the delay-dependent and delay-independent ones. In addition, the upper bound of the settling time for stabilization is estimated. Under fixed control strength, discussions of the extremum of settling time functional are made and a switched controller is designed to optimize the settling time. Finally, numerical simulations are carried out to demonstrate the effectiveness of the obtained results.

##### MSC:
 93D15 Stabilization of systems by feedback 92B20 Neural networks for/in biological studies, artificial life and related topics 93C55 Discrete-time control/observation systems 93C30 Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) 68T05 Learning and adaptive systems in artificial intelligence 93B52 Feedback control
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