Synchronization in Finite Time of Fractional-Order Complex-Valued Delayed Gene Regulatory Networks

Abstract

The synchronization in finite time of fractional-order complex-valued gene networks with time delays is studied in this paper. Several sufficient conditions of the synchronization in finite time for the relevant network models are explored based on feedback controllers and adaptive controllers. Then, the setting time of the response is estimated by the theory of fractional calculus. Finally, to validate the theoretical results, a numerical example is presented using the proposed two controllers, showing that the setting time based on the adaptive controller is shorter than the that based on the feedback controller.