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一类脉冲泛函摄动微分系统的稳定性比较结果

COMPARISON RESULTS OF STABILITY FOR ONE CLASS OF IMPULSIVE FUNCTIONAL DIFFERENTIAL SYSTEMS WITH PERTURBATIONS
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摘要 考虑了一类脉冲泛函摄动微分系统,利用变分Lyapunov函数与Razumikhin技巧,通过与纯量的常微分系统作比较建立了一个变分比较原理,进而得到了系统关于两个测度的一致稳定的比较结果. We study a class of impulsive functional differential systems with perturbations.We have established a variational comparison principle comparing with a scalar ordinary differential system by using variational Lyapunov functions and Razumikin techniques,then the comparative results of uniform stability in terms of two measures for the systems are acquired.
出处 《山东师范大学学报(自然科学版)》 CAS 2014年第2期1-4,共4页 Journal of Shandong Normal University(Natural Science)
基金 国家自然科学基金资助项目(11171192) 教育部博士点专项科研基金(博导类)项目(20123704110001).
关键词 脉冲泛函微分系统 变分Lyapunov函数 RAZUMIKHIN技巧 变分比较原理 稳定性 impulsive functional differential system variational Lyapunov functions Raznmkhin techniques variational comparison principle stability
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参考文献5

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