Some decidable results on reachability of solvable systems
文献类型：期刊论文
| 作者 | Xu, Ming ; Zhu, Jiaqi ; Li, Zhi-Bin |
| 刊名 | INTERNATIONAL JOURNAL OF GENERAL SYSTEMS
 |
| 出版日期 | 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 |
| 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. |
入库方式： OAI收割
来源：软件研究所
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