Synchronization in Finite Time of Fractional-Order Complex-Valued Delayed Gene Regulatory Networks
Lu Wang, Xujun Yang, Hongjun Liu, Xiaofeng Chen
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.
Topics & Concepts
Synchronization (alternating current)Control theory (sociology)Controller (irrigation)Computer scienceFractional calculusOrder (exchange)Complex networkAdaptive controlMathematicsControl (management)Applied mathematicsTopology (electrical circuits)Artificial intelligenceEconomicsFinanceWorld Wide WebBiologyCombinatoricsAgronomyGene Regulatory Network Analysisstochastic dynamics and bifurcationEvolution and Genetic Dynamics