Global bipartite synchronization of fractional-order time-varying coupled signed networks with proportional delays.

This paper investigates the global bipartite synchronization of fractional-order time-varying coupled signed networks with proportional delays. A systematic approach is proposed by combining graph theory, the Lyapunov method, and the Razumikhin method. A Razumikhin-type theorem and a coefficient-type theorem are given, and thus several significant bipartite synchronization criteria related to both the order of fractional-order derivative and the proportionality factor are obtained. Besides, the results are applied to Chua's circuits to reflect the availability of theoretical analysis. Finally, a numerical example is proposed to substantiate the effectiveness of theoretical results. • An approach is used by combining graph theory, Lyapunov method and Razumikhin method. • Criteria are related to the fractional order and the proportionality factor. • The theoretical results are applied to Chua's circuits. [ABSTRACT FROM AUTHOR]