Control and synchronization of nonlinear fractional-order systems by comparison principle

To overcome the difficulties in the stability analysis and stabilization for nonlinear fractional systems, the comparison principle for fractional-order systems with Caputo fractional derivatives is constructed, which can simplify the processes of stability analysis and stabilization controller design in a great degree. To verify the feasibility of the proposed method, the problem of stabilizing the fractional-order Chen hyperchaotic system is studied. The effective linear controller is designed, and computer simulation verifies the theory result.