Global fixed-time synchronization for coupled time-varying delayed neural networks with multi-weights and uncertain couplings via periodically semi-intermittent adaptive control

This paper is concerned with the semi-intermittent synchronization in fixed time for hybrid couple neural networks with uncertain multiple weights and discontinuous nonlinearity. Firstly, the principle of the global convergence in fixed time with respect to nonlinear systems with periodically semi-intermittent scheme is developed. Secondly, in order to realize the global synchronization goal in fixed time, novel controllers, which are composed of the semi-intermittent adaptive controller and semi-intermittent feedback controller, are designed. Under Filippov differential inclusion framework, by applying Lyapunov–Krasovskii functional method and inequality analysis technique, the global synchronization conditions in fixed time are achieved in the form of linear matrix inequalities. In addition, the upper bound of the settling time, which is adjusted in advance by choosing the controller parameters, is estimated accurately. Finally, the correctness of the theoretical results and the feasibility of the designed controller are verified by an example.