Prespecified-time control of switched neural networks: novel Lyapunov approach of prespecified-time stability

This article is concerned with the prespecified-time stability problem for a type of non-linear system with discontinuity. Based on arctangent function and exponential function, several novel prespecified-time stability criterions are established via C-regular Lyapunov approach, where a prespecified-time is set in advance for prespecified-time stability. Then the developed prespecified-time stability criterions are applied to realize the prespecified-time stabilization of switched neural networks by designing prespecified-time external input controllers. The prespecified-time of stabilization doesn’t depend at all on every initial state and any system’s parameters of switched neural networks. Moreover, the simulations verify the correctness of the theoretical analysis results.