Stability of equilibrium points for incommensurate fractional-order nonlinear systems

In this article, we presents a stability method based on the eigenvalue problem of system matrix for incommensurate fractional-order nonlinear systems. Based on the stability theorems in fractional differential equations, the asymptotical stability of all existing equilibrium points are studied for incommensurate fractional-order non-chaotic Lotka-Volterra predator-prey system and fractional-order chaotic Chen system by feedback control method.