Abstract
We consider a discretization based approach to controller synthesis of hybrid systems that allows to handle non-linear dynamics. In such an approach, states are grouped together in a finite index partition at the price of a non-deterministic over approximation of the transition relation. The main contribution of this work is a technique to reduce the state explosion generated by the discretization: exploiting structural properties of ODE systems, we propose a hierarchical approach to the synthesis problem by solving it first for sub problems and using the results for state space reduction in the full problem. A secondary contribution concerns combined safety and liveness control objectives that approximate stabilization.
Partially supported by the ANR project ECSPER(ANR JC09_472677 ECSPER).
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Malinowski, J., Niebert, P., Reynier, PA. (2011). A Hierarchical Approach for the Synthesis of Stabilizing Controllers for Hybrid Systems. In: Bultan, T., Hsiung, PA. (eds) Automated Technology for Verification and Analysis. ATVA 2011. Lecture Notes in Computer Science, vol 6996. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-24372-1_15
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DOI: https://doi.org/10.1007/978-3-642-24372-1_15
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