Particular-Function-Based Preassigned-Time Stability of Discontinuous System: Novel Control Scheme for Fuzzy Neural Networks

In this article, the preassigned-time stability (PATS) problems are considered for a class of discontinuous dynamic systems via differential inclusion. By using some particular functions, including hyperbolic-tangent function and logistic function, the novel PATS theorems are proposed by means of the Lyapunov method. Based on developed PATS theorems, the preassigned-time stabilization control is realized for fuzzy switched neural networks (FSNNs) by designing a suitable control scheme, where the stabilization time does not depend on any system parameters and initial values of FSNNs. Meanwhile, the simulation examples are provided to verify the main results.