In this paper we prove, in a constructive way, the equivalence between hybrid and piecewise affine systems. By focusing our investigation on the latter class, we show through counterexamples that observability and controllability properties cannot be easily deduced from those of the component linear subsystems. Instead, we propose practical numerical tests based on mixed-integer linear programming.
Volkan Cevher, Grigorios Chrysos, Efstratios Panteleimon Skoulakis
Michel Bierlaire, Claudia Bongiovanni
Michel Bierlaire, Claudia Bongiovanni