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Stability analysis for systems with impulse effects
Shen, Jianhua; Jing, Zhujun
2006-09-01
发表期刊INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS
ISSN0020-7748
卷号45期号:9页码:1715-1729
摘要In the present paper the authors establish new conditions for the uniform stability and the uniform asymptotic stability of equilibria of systems with impulsive effects described by systems of nonlinear, time-varying ordinary differential equations. For the case when the corresponding systems without impulsive effects admit unstable properties, the above results are used to establish conditions under which the uniform stability even uniform asymptotic stability of equilibria of systems with impulsive effects can be caused by impulsive perturbations.
关键词hybrid dynamical systems lyapunov stability systems with impulses
DOI10.1007/s10773-006-9107-2
语种英语
WOS研究方向Physics
WOS类目Physics, Multidisciplinary
WOS记录号WOS:000241750400011
出版者SPRINGER/PLENUM PUBLISHERS
引用统计
文献类型期刊论文
条目标识符http://ir.amss.ac.cn/handle/2S8OKBNM/3360
专题中国科学院数学与系统科学研究院
通讯作者Shen, Jianhua
作者单位1.Coll Huaihua, Dept Math, Huaihua 418008, Hunan, Peoples R China
2.Hunan Normal Univ, Dept Math, Changsha 410081, Hunan, Peoples R China
3.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100080, Peoples R China
推荐引用方式
GB/T 7714
Shen, Jianhua,Jing, Zhujun. Stability analysis for systems with impulse effects[J]. INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS,2006,45(9):1715-1729.
APA Shen, Jianhua,&Jing, Zhujun.(2006).Stability analysis for systems with impulse effects.INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS,45(9),1715-1729.
MLA Shen, Jianhua,et al."Stability analysis for systems with impulse effects".INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS 45.9(2006):1715-1729.
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