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具有非瞬时脉冲影响的集值微分方程解的稳定性
Stability criteria for set differential equations with non-instantaneous impulse
【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.
【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.
【关键词】 集值微分方程;
非瞬时脉冲;
稳定性;
【Key words】 set differential equations; non-instantaneous impulse; stability;
【Key words】 set differential equations; non-instantaneous impulse; stability;
【基金】 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)
- 【文献出处】 河北大学学报(自然科学版) ,Journal of Hebei University(Natural Science Edition) , 编辑部邮箱 ,2021年05期
- 【分类号】O175
- 【下载频次】73