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一类不连续时滞系统的一致最终有界性

Uniformly Ultimate Boundedness for a Class of Discontinuous Systems With Time-Delays
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摘要 主要讨论不连续的时滞自治系统,在Filippov解意义下的一致最终有界性问题.基于Lya-punov-Krasovskii泛函给出了全局强一致最终有界的Lyapunov定理,并将其应用到一类带有不连续摩擦项的时滞力学系统. Uniformly ultimate boundedness of discontinuous systems with time-delays in the sense of Filippov solutionswere mainly discussed. Based on Lyapunov-Krasovskii functional, Lyapunov theorem for globally strongly uniformly ultimate boundedness of retarded discontinuous systems was shown. Furthermore, the result is applied to a class of mechanical systems with retarded discontinuous friction item.
作者 慕小武 丁志帅 程桂芳
机构地区 郑州大学数学系 郑州大学物理工程学院
出处 《应用数学和力学》 CSCD 北大核心 2011年第9期1110-1117,共8页 Applied Mathematics and Mechanics
基金 国家自然科学基金资助项目(60874006)
关键词 Filippov解 一致最终有界 不连续系统 时滞系统 Filippov solutions uniformly ultimate boundedness discontinuous systems ratarded systems
分类号 O231.2 [理学—运筹学与控制论]
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参考文献14

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二级参考文献9

  • 1慕小武,程桂芳,唐风军.非自治非光滑系统的Matrosov稳定性定理[J].应用数学学报,2007,30(1):168-175. 被引量：6
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共引文献7

应用数学和力学
2011年 第9期

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