Abstract
Polygonal hybrid systems are a subclass of planar hybrid automata which can be represented by piecewise constant differential inclusions. Here, we study the problem of defining and constructing the phase portrait of such systems.We identify various important elements of it, suchas viability and controllability kernels, and propose an algorithm for computing them all. The algorithm is based on a geometric analysis of trajectories.
Partially supported by Projet IMAG MASH “Modélisation et Analyse de Systèmes Hybrides”.
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Asarin, E., Schneider, G., Yovine, S. (2002). Towards Computing Phase Portraits of Polygonal Differential Inclusions. In: Tomlin, C.J., Greenstreet, M.R. (eds) Hybrid Systems: Computation and Control. HSCC 2002. Lecture Notes in Computer Science, vol 2289. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45873-5_7
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DOI: https://doi.org/10.1007/3-540-45873-5_7
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