Intermittent synchronization of fractional order coupled nonlinear systems based on a new differential inequality

This paper investigates the synchronization of fractional order dynamical networks via intermittent linear feedback control. According to a new piecewise linear fractional order differential inequality and some intermittent synchronization criteria are derived at first. Then, by using matrix analysis method, pinning strategy is discussed. A simple algorithm to design suitable pinning intermittent controllers is given later. Finally, a numerical example is presented to illustrate the effectiveness and correctness of the theoretical results, the synchronization region about the order of system and the ratio of the control width is also discussed.