Reachability analysis using proximity based automata

Kapinski, Jim
Schmidt, Klaus Verner
Krogh, Bruce
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.


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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: