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Published in:
2011 | OriginalPaper | Chapter
A Hierarchical Approach for the Synthesis of Stabilizing Controllers for Hybrid Systems
Authors : Janusz Malinowski, Peter Niebert, Pierre-Alain Reynier
Published in: Automated Technology for Verification and Analysis
Publisher: Springer Berlin Heidelberg
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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.