Finite-Time and Fixed-Time Stabilization of Discontinuous Neural Networks With Nonlinear Coupling via Switching Approach

This brief discusses the finite-time and fixed-time stabilization problem of nonsmooth switched neural networks with nonlinear coupling and delays. Base on the framework of Filippov theory, methodology of graph theory and classical Lyapunov functional technique, one can optimize both the finite-time stabilization and fixed-time stabilization issues for complex nonlinear model by utilizing two novel state-feedback controllers and the corresponding adaptive controllers. Moreover, how to shorten the stabilization settling time is discussed in detail when the complex neural network systems are strongly connected, and the influence of initial value on the system is deeply analyzed. Finally, two examples are given to show the advantages and experimental analysis of this method.