Global Fixed-time Synchronization Of Discontinuous Coupled Neural Networks

With the development of network systems,coupled neural networks which can accurately describe the dynamic behavior of the complex system,have received more attention from scholars.In this paper,the global fixed-time synchronization for discontinuous coupled neural networks with disturbance,event-triggered and semi-Markov switch is discussed.The main content including:Firstly,by designing the discontinuous state feedback controller with integral term,the global synchronization of discontinuous coupled neural networks with the nonlinear growth activations is discussed.The sufficient criterions of global synchronization are established in the form of LMIs.The settling-time can be determined to any desired values in advance,via the configuration of the parameters in the designed controller.Secondly,based on event-triggered controller and discontinuous feedback controller,the global fixed-time synchronization of the discontinuous coupled neural network with external disturbance is discussed.Under the designed controller,by applying Lyapunov function and inequality analysis techniques,the sufficient criterions of global fixed-time synchronization for network systems are addressed in the form of LMIs.Finally,the semi-Markov stochastic process is introduced into the coupled neural network,and the model of discontinuous multiple weights coupled neural networks are established.By using lemma of stochastic fixed-time stability,under the designed controller,the goal of stochastic fixed-time synchronization for network systems is realized.The conditions of global stochastic fixed-synchronization are addressed.