KMS Chongqing Institute of Green and Intelligent Technology, CAS
| Abstraction of elementary hybrid systems by variable transformation | |
Liu, Jiang1 ; Zhan, Naijun2; Zhao, Hengjun1; Zou, Liang2
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| 2015 | |
| 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. |
| 语种 | 英语 |
| DOI | 10.1007/978-3-319-19249-9_23 |
| 会议(录)名称 | 20th International Symposium on Formal Methods, FM 2015
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| 页码 | 360-377 |
| 通讯作者 | Zhao, Hengjun |
| 收录类别 | EI |
| 会议地点 | Oslo, Norway |
| 会议日期 | June 24, 2015 - June 26, 2015 |
