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一类具有混合时滞二阶微分方程的脉冲指数稳定性

Impulsive Exponential Stabilization of a Class of Second-order Differential Equation with Mixed Delay
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摘要 研究了一类具有混合时滞的二阶脉冲微分方程解的稳定性问题。选择合适的V-函数,利用Lyapunov函数法,结合数学归纳法,依据稳定性理论,给出一类具有混合时滞的二阶微分方程在加入适当脉冲后方程是可脉冲指数稳定的充分条件。最后举例说明给出的稳定性条件是有效的。 The stabilization problem of a class of second-order impulsive differential equations with mixed delay is studied in this paper.By choosing the appropriate V-function,employing the method of Lyapunov function,combining with the mathematical induction,and according to the stabilization theory,sufficient criteria in exponential stabilization by inpulses are gained.Finally,an example is given to illustrate the validity of the obtained stabilization conditions.
作者 周霞 盛乐园 储著松 胡午杰
机构地区 阜阳师范学院数学与统计学院
出处 《宿州学院学报》 2016年第1期97-101,共5页 Journal of Suzhou University
基金 安徽省大学生创新创业训练计划项目"二阶变系数常微分方程的求解及稳定性研究"(AH201410371080) 安徽省教育厅高等教育振兴计划人才项目(皖教秘人[2014]181号)
关键词 二阶微分方程 混合时滞 脉冲指数稳定 second-order differential equation mixed delay impulsive exponential stabilization
分类号 O175.13 [理学—基础数学]
  • 相关文献

参考文献9

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二级参考文献23

  • 1Wang feng. Impulsive stabilization of second order differential equation[J]. South China Normal Univ. Nature. Sci. Ed. 2001(1):16-19.
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  • 8Shen J, Luo Z, Liu X. Impulsive Stabilization of Functional Differential Equations Via Liapunov Functionals[J]. Math. Anal. Appl. , 1999, 240:1-5.
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  • 10L P Gimenes, M Federson. Existence and Impulsive Stability for Second Order Retarded Differential Equations[J]. Appl. Math. Comput. 2006,177 : 44-62.
宿州学院学报
2016年 第1期

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