Finite time stabilization of delayed neural networks

• Time delays are taken into account in studying the finite time stability problem of neural networks.
• Provide general conditions on the feedback control law for the finite time stabilization of delayed neural networks (DNNs).
• Derive some specific conditions by designing two different controllers which include the delay-dependent and delay-independent ones.
• Discuss the extremum of the settling time functional and realize the optimal stabilization time under fixed control strength.
• Design a switched controller to optimize the settling time.

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.