Cycle time assignment of min-max systems

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	Cycle time assignment of min-max systems
	Tao, YG ; Chen, WD
发表期刊	INTERNATIONAL JOURNAL OF CONTROL
	2003-12-15
卷号	76 期号:18 页码:1790-1799
文章类型	Article
摘要	A variety of problems in computer networks, digital circuits, communication networks, manufacturing plants, etc., can be modelled as discrete event systems with maximum and minimum constraints. Systems with mixed constraints are non-linear and are called min-max systems. The cycle time vector of such a system arises as a performance measure for discrete event systems and provides the appropriate non-linear generalization of the spectral radius. This paper gives a complete account of the cycle time assignment by the state feedback for min-max systems. We describe some new definitions and results about such assignment which generalize the initial earlier works and shed new light on aspects of linear control theory. For an arbitrary min-max system, by introducing the concept of colouring graph and constructing the total condensation and its matrix representation, we give the canonical structure form. In order to design the state feedback system in which the internal structure property is unchanged and the cycle time can be assigned, we introduce and characterize the assignability, uniform state feedback and unmerged assignment for min-max systems. We present an algorithm for the unmerged assignment and illustrate our algorithm by means of an example.
WOS标题词	Science & Technology ; Technology
收录类别	SCI
语种	英语
WOS研究方向	Automation & Control Systems
WOS类目	Automation & Control Systems
WOS记录号	WOS:000187512400002
引用统计	被引频次：13[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://ir.ia.ac.cn/handle/173211/9896
专题	09年以前成果
作者单位	1.Chinese Acad Sci, Inst Automat, Lab Complex Syst & Intelligence Sci, Beijing 100080, Peoples R China 2.Chinese Acad Sci, Inst Syst Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Tao, YG,Chen, WD. Cycle time assignment of min-max systems[J]. INTERNATIONAL JOURNAL OF CONTROL,2003,76(18):1790-1799.
APA	Tao, YG,&Chen, WD.(2003).Cycle time assignment of min-max systems.INTERNATIONAL JOURNAL OF CONTROL,76(18),1790-1799.
MLA	Tao, YG,et al."Cycle time assignment of min-max systems".INTERNATIONAL JOURNAL OF CONTROL 76.18(2003):1790-1799.