Stability analysis on a class of nonlinear fractional-order systems

作者：Wang, Zhiliang^*; Yang, Dongsheng; Zhang, Huaguang

来源：Nonlinear Dynamics, 2016, 86(2): 1023-1033.

DOI：10.1007/s11071-016-2943-6

• Fractional-order
• Incommensurate
• Comparison inequality
• Linearization
• Stability
• Stabilization

The stability of a class of commensurate and incommensurate nonlinear fractional-order systems is studied. First, two comparison inequalities for incommensurate fractional-order systems are proposed. Based on that, a stability criterion regarding a class of incommensurate fractional-order system is given. And then, three stability criteria are presented concerning a typical class of commensurate nonlinear fractional-order systems. After that, two global stability criteria concerning commensurate and incommensurate nonlinear fractional-order systems are provided, respectively. Finally, the fractional-order Liu system and the fractional-order Chen system are taken as examples to show how to apply the proposed results to stabilization problems.

• 出版日期2016-10
• 单位东北大学