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Conference Paper

A Sound and Complete Proof Rule for Region Stability of Hybrid Systems

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Podelski,  Andreas
Programming Logics, MPI for Informatics, Max Planck Society;

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Wagner,  Silke
Programming Logics, MPI for Informatics, Max Planck Society;

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Citation

Podelski, A., & Wagner, S. (2007). A Sound and Complete Proof Rule for Region Stability of Hybrid Systems. In A. Bemporad, A. Bicchi, & G. C. Buttazzo (Eds.), Hybrid systems: computation and control : 10th International Conference, HSCC 2007 (pp. 750-753). Berlin, Germany: Springer.


Cite as: https://hdl.handle.net/11858/00-001M-0000-000F-1E3E-6
Abstract
Region stability allows one to formalize hybrid systems whose trajectories may oscillate (within a given allowance) even after having `stabilized'. Unfortunately, until today no proof rule (giving necessary and sufficient conditions for the purpose of verifying region stability) has been available. This paper fills the gap. Our (sound and complete) proof rule connects region stability with the finiteness of specific state sequences and thus with the emerging set of verification methods for program termination.