Some decidable results on reachability of solvable systems

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	Some decidable results on reachability of solvable systems
	Xu, Ming ; Zhu, Jiaqi ; Li, Zhi-Bin
刊名	INTERNATIONAL JOURNAL OF GENERAL SYSTEMS
	2013
卷号	42 期号:4 页码:405-425
关键词	reachability analysis solvable mappings nonlinear systems hybrid systems symbolic computation decision procedures
ISSN号	0308-1079
中文摘要	Reachability analysis plays an important role in verifying the safety of modern control systems. In the existing work, there are many decidable results on reachability of discrete systems. For continuous systems, however, the known decidable results are established merely for linear systems. In this paper, we propose a class of nonlinear systems (named solvable systems) extending linear systems. We first show that their solutions are of closed form. On the basis of it, we study a series of reachability problems for various subclasses of solvable systems. Our main results are that these reachability problems are decidable by manipulations in number theory, real root isolation, and quantifier elimination. Finally the decision procedures are implemented in a Maple package REACH to solve several non-trivial examples.
英文摘要	Reachability analysis plays an important role in verifying the safety of modern control systems. In the existing work, there are many decidable results on reachability of discrete systems. For continuous systems, however, the known decidable results are established merely for linear systems. In this paper, we propose a class of nonlinear systems (named solvable systems) extending linear systems. We first show that their solutions are of closed form. On the basis of it, we study a series of reachability problems for various subclasses of solvable systems. Our main results are that these reachability problems are decidable by manipulations in number theory, real root isolation, and quantifier elimination. Finally the decision procedures are implemented in a Maple package REACH to solve several non-trivial examples.
收录类别	SCI
语种	英语
WOS记录号	WOS:000315676500007
公开日期	2014-12-16
内容类型	期刊论文
源URL	[http://ir.iscas.ac.cn/handle/311060/16937]
专题	软件研究所_软件所图书馆_期刊论文
推荐引用方式 GB/T 7714	Xu, Ming,Zhu, Jiaqi,Li, Zhi-Bin. Some decidable results on reachability of solvable systems[J]. INTERNATIONAL JOURNAL OF GENERAL SYSTEMS,2013,42(4):405-425.
APA	Xu, Ming,Zhu, Jiaqi,&Li, Zhi-Bin.(2013).Some decidable results on reachability of solvable systems.INTERNATIONAL JOURNAL OF GENERAL SYSTEMS,42(4),405-425.
MLA	Xu, Ming,et al."Some decidable results on reachability of solvable systems".INTERNATIONAL JOURNAL OF GENERAL SYSTEMS 42.4(2013):405-425.