{"title":"Averist: Algorithmic Verifier for Stability of Linear Hybrid Systems","authors":"Miriam García Soto, P. Prabhakar","doi":"10.1145/3178126.3178154","DOIUrl":null,"url":null,"abstract":"In this paper, we explain the architecture and implementation of the tool Averist that performs stability verification for linear hybrid systems. This tool implements a hybridization method for approximating linear hybrid systems by hybrid systems with polyhedral inclusion dynamics. It also implements a new counterexample guided abstraction refinement framework for analyzing the hybrid systems with polyhedral inclusion dynamics that are generated as a result of the hybridization. Some of the main features of our tool are as follows: (1) our tool is based on algorithmic techniques that do not rely on the computation of Lyapunov functions, (2) it returns a counterexample when it fails to establish stability, (3) it is less prone to numerical instability issues as compared to Lyapunov function based tools.","PeriodicalId":131076,"journal":{"name":"Proceedings of the 21st International Conference on Hybrid Systems: Computation and Control (part of CPS Week)","volume":"35 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2018-04-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the 21st International Conference on Hybrid Systems: Computation and Control (part of CPS Week)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1145/3178126.3178154","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 3
Abstract
In this paper, we explain the architecture and implementation of the tool Averist that performs stability verification for linear hybrid systems. This tool implements a hybridization method for approximating linear hybrid systems by hybrid systems with polyhedral inclusion dynamics. It also implements a new counterexample guided abstraction refinement framework for analyzing the hybrid systems with polyhedral inclusion dynamics that are generated as a result of the hybridization. Some of the main features of our tool are as follows: (1) our tool is based on algorithmic techniques that do not rely on the computation of Lyapunov functions, (2) it returns a counterexample when it fails to establish stability, (3) it is less prone to numerical instability issues as compared to Lyapunov function based tools.
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