Abstraction of elementary hybrid systems by variable transformation

doi:10.1007/978-3-319-19249-9_23

CORC > 重庆绿色智能技术研究院 > 中国科学院重庆绿色智能技术研究院 > 高性能计算应用研究中心

	Abstraction of elementary hybrid systems by variable transformation
	Liu, Jiang1 ; Zhan, Naijun 2; Zhao, Hengjun 1; Zou, Liang 2
	2015
会议日期	June 24, 2015 - June 26, 2015
会议地点	Oslo, Norway
DOI	10.1007/978-3-319-19249-9_23
页码	360-377
通讯作者	Zhao, Hengjun
英文摘要	Elementary hybrid systems (EHSs) are those hybrid systems (HSs) containing elementary functions such as exp, ln, sin, cos, etc. EHSs are very common in practice, especially in safety-critical domains. Due to the non-polynomial expressions which lead to undecidable arithmetic, verification of EHSs is very hard. Existing approaches based on partition of the state space or overapproximation of reachable sets suffer from state space explosion or inflation of numerical errors. In this paper, we propose a symbolic abstraction approach that reduces EHSs to polynomial hybrid systems (PHSs), by replacing all non-polynomial terms with newly introduced variables. Thus the verification of EHSs is reduced to the one of PHSs, enabling us to apply all the well-established verification techniques and tools for PHSs to EHSs. In this way, it is possible to avoid the limitations of many existing methods. We illustrate the abstraction approach and its application in safety verification of EHSs by several real world examples. © Springer International Publishing Switzerland 2015.
会议录	20th International Symposium on Formal Methods, FM 2015
语种	英语
电子版国际标准刊号	16113349
ISSN号	03029743
内容类型	会议论文
源URL	[http://119.78.100.138/handle/2HOD01W0/4663]
专题	高性能计算应用研究中心
作者单位	1.Chongqing Key Lab. of Automated Reasoning and Cognition, Chongqing Institute of Green and Intelligent Technology, CAS, Chongqing, China; 2.State Key Lab. of Computer Science, Institute of Software, CAS, Beijing, China
推荐引用方式 GB/T 7714	Liu, Jiang,Zhan, Naijun,Zhao, Hengjun,et al. Abstraction of elementary hybrid systems by variable transformation[C]. 见:. Oslo, Norway. June 24, 2015 - June 26, 2015.