@incollection{eprints582, title = {Discrete-time hybrid modeling and verification}, year = {2001}, volume = {3}, pages = {2899--2904}, address = {Orlando, Florida USA, December 2001}, booktitle = {Decision and Control Conference}, publisher = {IEEE}, journal = {Proc. 40th IEEE Conf. on Decision and Control}, author = {Fabio Danilo Torrisi and Alberto Bemporad}, abstract = {For hybrid systems described by interconnections of linear dynamical systems and logic devices, we recently (A. Bemporad et al., 2000, 2001) proposed mixed logical-dynamical (MLD) systems and the language HYSDEL (HYbrid System DEscription Language) as a modeling tool. For MLD models, we developed a reachability analysis algorithm which combines forward reach-set computation and feasibility analysis of trajectories by linear and mixed-integer linear programming. In this paper, the versatility of the overall analysis tool is illustrated in the verification of an automotive cruise control system for a car with a robotized manual gear shift}, url = {http://eprints.imtlucca.it/582/}, keywords = {HYSDEL; Hybrid System Description Language; automotive cruise control system verification; car;discrete-time hybrid modeling; discrete-time hybrid systems verification; forward reach-set computation feasibility analysis; interconnected systems; linear dynamical systems;logic devices; mixed logical-dynamical systems; mixed-integer linear programming; reachability analysis algorithm; robotized manual gear shift; trajectories; automobiles; control system analysis; discrete time systems; formal verification; integer programming; interconnected systems; linear programming; linear systems; logic devices; modelling; reachability analysis; robots; simulation languages} }