Stability analysis on a class of nonlinear fractional-order systems

被引：39
|
作者：
Wang, Zhiliang [1 ]
Yang, Dongsheng [1 ]
Zhang, Huaguang [1 ]
机构：
[1] Northeastern Univ, Sch Informat Sci & Engn, Shenyang 110004, Peoples R China
来源：
NONLINEAR DYNAMICS | 2016年 / 86卷 / 02期
关键词：
Fractional-order; Incommensurate; Comparison inequality; Linearization; Stability; Stabilization; LYAPUNOV FUNCTIONS; PERIODIC-SOLUTIONS; DYNAMICAL-SYSTEMS; NONEXISTENCE; THEOREM;
D O I：
10.1007/s11071-016-2943-6
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
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.
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页码：1023 / 1033
页数：11
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