Finite-time synchronization by switching state-feedback control for discontinuous Cohen–Grossberg neural networks with mixed delays

Abstract

This paper studies the finite-time synchronization problem of Cohen–Grossberg neural networks (CGNNs) with discontinuous neuron activations and mixed time-delays. Under the extended differential inclusion framework, the famous finite-time stability theorem and generalized Lyapunov approach are used to realize the finite-time synchronization control of drive-response system. Different from the conventional controllers, we propose two classes of novel switching state-feedback controllers which include discontinuous factor sign ( $$\cdot$$ ). By doing so, the synchronization error of CGNNs can be controlled to converge zero in a finite time. Moreover, we also provide an estimation of the upper bound of the settling time for synchronization. Finally, two examples and simulation experiment are given to demonstrate the validity of theoretical results.