Improved switching controllers for finite-time synchronization of delayed neural networks with discontinuous activations

摘要

This paper considers time-delayed and discontinuous neural networks described by a class of func-tional differential inclusions. Without assuming the boundedness and monotonicity of the discontinu-ous activation functions, the finite-time synchronization control of the drive-response neuron system is studied. First, we propose a set of novel switching state-feedback controllers and switching adaptive controllers. Second, we give some sufficient conditions to control the synchronization error to converge zero in a finite time. Moreover, these conditions are easily checkable. The dynamic analysis here em-ploys the set-valued analysis, the extended Filippov-framework, the famous finite-time stability theorem and the generalized Lyapunov functional method. Finally, numerical examples and computer simulations are presented to confirm and demonstrate the theoretic findings. (C) 2017 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.