New results on stability and stabilization of a class of nonlinear fractional-order systems

作者：Chen, Liping^*; He, Yigang; Chai, Yi; Wu, Ranchao

来源：Nonlinear Dynamics, 2014, 75(4): 633-641.

DOI：10.1007/s11071-013-1091-5

• Fractional-order systems
• Stability
• Stabilization
• Nonlinear systems
• Linear feedback control

The asymptotic stability and stabilization problem of a class of fractional-order nonlinear systems with Caputo derivative are discussed in this paper. By using of Mittag-Leffler function, Laplace transform, and the generalized Gronwall inequality, a new sufficient condition ensuring local asymptotic stability and stabilization of a class of fractional-order nonlinear systems with fractional-order alpha:1 <alpha < 2 is proposed. Then a sufficient condition for the global asymptotic stability and stabilization of such system is presented firstly. Finally, two numerical examples are provided to show the validity and feasibility of the proposed method.

• 出版日期2014-3
• 单位重庆大学; 安徽大学; 合肥工业大学