Stability and stabilization of nonlinear fractional-order systems by Lyapunov direct approach

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• 英文论文题名：Stability and stabilization of nonlinear fractional-order systems by Lyapunov direct approach
• 论文作者：XueFeng Zhang ; Qi Zou
• 英文论文作者：XueFeng Zhang ; Qi Zou ; School of Sciences ; Northeastern University
• 年：2017
• 作者机构：School of Sciences,Northeastern University;
• 英文论文关键词：Fractional-order nonlinear systems ; Lyapunov direct approach ; Asymptotical stability ; Feedback control ; LMI
• 会议召开时间：2017-07-26
• 会议录名称：第36届中国控制会议论文集（A）
• 英文会议录名称：Proceedings of the 36th Chinese Control Conference（A）
• 语种：英文
• 分类号：O231
• 学会代码：KZLL
• 会议名称：第36届中国控制会议
• 会议地点：中国辽宁大连
• 主办单位：中国自动化学会控制理论专业委员会
• 学会名称：中国自动化学会控制理论专业委员会
• 页数：5
• 文件大小：366k
• 原文格式：D
• 会议级别：全国

摘要

This paper focuses on the stability and stabilization problems of nonlinear fractional-order systems with fractionalorder : 0 < α< 1. A sufficient condition for the stability and stabilization of nonlinear fractional-order systems is presented by Lyapunov direct approach. All results are obtained in term of linear matrix inequalities(LMI). Finally, two numerical examples are given to demonstrate the validity of the proposed approach.
This paper focuses on the stability and stabilization problems of nonlinear fractional-order systems with fractionalorder : 0 < α< 1. A sufficient condition for the stability and stabilization of nonlinear fractional-order systems is presented by Lyapunov direct approach. All results are obtained in term of linear matrix inequalities(LMI). Finally, two numerical examples are given to demonstrate the validity of the proposed approach.

引文

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