具有非瞬时脉冲影响的集值微分方程解的稳定性

  • 王培光 ,
  • 郭梦煜 ,
  • 鲍俊艳
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王培光(1963—),男,黑龙江哈尔滨人,河北大学教授,博士生导师,主要从事微分方程与控制理论的研究.
E-mail:pgwang@hbu.edu.cn

收稿日期: 2021-05-13

  网络出版日期: 2021-09-28

基金资助

国家自然科学基金资助项目(11771115);河北省研究生创新资助项目(CXZZSS2021015)

Stability criteria for set differential equations with non-instantaneous impulse

  • WANG Peiguang ,
  • GUO Mengyu ,
  • BAO Junyan
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  • College of Mathematics and Information Science, Hebei University, Baoding 071002, China

Received date: 2021-05-13

  Online published: 2021-09-28

摘要

利用集值微分方程理论和Lyapunov函数方法,通过建立新的比较原理,研究了在Hukuhara导数意义下的具有非瞬时脉冲的集值微分方程解的稳定性问题,得到了其解的稳定性、一致稳定性、一致渐近稳定性准则.

本文引用格式

王培光 , 郭梦煜 , 鲍俊艳 . 具有非瞬时脉冲影响的集值微分方程解的稳定性[J]. 河北大学学报(自然科学版), 2021 , 41(5) : 449 -456 . DOI: 10.3969/j.issn.1000-1565.2021.05.001

Abstract

Based on the theory of set differential equations and Lyapunov function method, by constructing the new comparison principles,this paper discusses the stability of solutions of the non-instantaneous impulsive set differential equations defined by Hukuhara derivative,and obtains the criteria of stability, uniform stability and uniform asymptotic stability of solutions.

参考文献

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