Reachability analysis using proximity based automata

Date

2004-01-01

Author

Kapinski, Jim
Schmidt, Klaus Verner
Krogh, Bruce

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This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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This paper introduces proximity based automata (PBA) to perform reachability analysis for discrete-time, continuous-state systems. The notion of proximity of states in the continuous valued state space is used to evaluate the response of the system efficiently. A PBA is constructed using ellipsoidal techniques and tools for solving optimization problems constrained by linear matrix inequalities. Several empirical studies demonstrate how trade-offs between conservativeness and computational complexity can be exploited by varying parameters in the procedure for constructing the PBA.

Subject Keywords

Reachability, Hybrid systems, Verification, Dynamic systems

URI

https://hdl.handle.net/11511/35499

DOI

https://doi.org/10.1016/s1474-6670(17)30765-6

Collections

Department of Electrical and Electronics Engineering, Conference / Seminar

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Citation Formats

J. Kapinski, K. V. Schmidt, and B. Krogh, “Reachability analysis using proximity based automata,” 2004, vol. 37, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/35499.