Finite-time synchronization of discontinuous network systems via two control schemes
Wanli Zhang, Ting Yang · Franklin Open · 2024
This article considers network systems (NSs) which can realize random switch among different NSs based on Bernoulli random variables. As a result, the systems will be the networks with linear coupling, nonlinear coupling or partial communication failure. Discontinuous activation function is introduced, which is overcome by the theories of differential inclusions. Finite-time (FET) synchronization is established under the designed intermittent adaptive control and the reason why it can not get the results of prespecified-time (PDT) synchronization is analysed, where PDT synchronization is a special case of FET synchronization. Moreover, PDT synchronization is realized via a feedback controller which switches based on the state information of systems. In addition, simulation experiments are provided to verify the control methods and synchronization results.