Hybrid singular systems of differential equations

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	Hybrid singular systems of differential equations
	Yin, G ; Zhang, JF
	2002-08-01
发表期刊	SCIENCE IN CHINA SERIES F
ISSN	1009-2757
卷号	45 期号:4 页码:241-258
摘要	This work develops hybrid models for large-scale singular differential system and analyzes their asymptotic properties. To take into consideration the discrete shifts in regime across which the behavior of the corresponding dynamic systems is markedly different, our goals are to develop hybrid systems in which continuous dynamics are intertwined with discrete events under random-jump disturbances and to reduce complexity of large-scale singular systems via singularly perturbed Markov chains. To reduce the complexity of large-scale hybrid singular systems, two-time scale is used in the formulation. Under general assumptions, limit behavior of the underlying system is examined. Using weak convergence methods, it is shown that the systems can be approximated by limit systems in which the coefficients are averaged out with respect to the quasi-stationary distributions. Since the limit systems have fewer states, the complexity is much reduced.
关键词	hybrid model singular system differential equation singularly perturbed Markov chain weak convergence averaging
语种	英语
WOS研究方向	Computer Science
WOS类目	Computer Science, Information Systems
WOS记录号	WOS:000177300600001
出版者	SCIENCE CHINA PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/17077
专题	中国科学院数学与系统科学研究院
通讯作者	Zhang, JF
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Beijing 100080, Peoples R China 2.Wayne State Univ, Dept Math, Detroit, MI 48202 USA
推荐引用方式 GB/T 7714	Yin, G,Zhang, JF. Hybrid singular systems of differential equations[J]. SCIENCE IN CHINA SERIES F,2002,45(4):241-258.
APA	Yin, G,&Zhang, JF.(2002).Hybrid singular systems of differential equations.SCIENCE IN CHINA SERIES F,45(4),241-258.
MLA	Yin, G,et al."Hybrid singular systems of differential equations".SCIENCE IN CHINA SERIES F 45.4(2002):241-258.