Fast Bipartite Synchronization of Complex Networks with Signed Graph Based on TS Fuzzy System by Fixed-Time Technique

This paper mainly discusses the problem of fast fixed-time bipartite synchronization in the complex networks with signed graph that is based on TS fuzzy system. By designing suitable and effective controller, the synchronization of the considered complex networks has been achieved successfully in this paper, whose convergence rate is superior to the great majority of existing results. With the assistance of a comparison system being built and using the theory of Lyapunov stability, this paper has established sufficient criteria successfully that are able to achieve fast fixed-time bipartite synchronization. And a numerical simulation example displays the performance of the obtained new results at the end of this paper.