Stability analysis on a class of nonlinear fractional-order systems

被引：0
作者：
Zhiliang Wang
Dongsheng Yang
Huaguang Zhang
机构：
[1] Northeastern University,School of Information Science and Engineering
来源：
Nonlinear Dynamics | 2016年 / 86卷
关键词：
Fractional-order; Incommensurate; Comparison inequality; Linearization; Stability; Stabilization;
D O I：
暂无
中图分类号：
学科分类号：
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：10
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