Stability of a Class of Fractional-Order Nonlinear Systems

Abstract EN

In this letter stability analysis of fractional order nonlinear systems is studied.

Some new sufficient conditions on the local (globally) asymptotic stability for a class of fractional order nonlinear systems with order 0 < α < 2 are proposed by using properties of Mittag-Leffler function and the Gronwall inequality.

And the corresponding stabilization criteria are also given.

The numerical simulations of two systems with order 0 < α < 1 and two systems with order 1 < α < 2 illustrate the effectiveness and universality of the proposed approach.