Title :
A mathematical approach to describing a class of hybrid systems
Author_Institution :
Dept. of Autom. Control & Syst. Eng., Tech. Univ. Ilmenau, Germany
Abstract :
Methods for describing continuous respectively discrete event systems have been thoroughly explored, but there is a need for universal methods to describe hybrid systems, in which continuous, as well as discrete subsystems are combined. Mathematical techniques are just emerging and have to be developed further. In this paper a new mathematical approach to modelling a class of hybrid systems is presented. A numerical example illustrates the principle
Keywords :
Petri nets; discrete event simulation; discrete event systems; graph theory; mathematical analysis; Petri nets; continuous systems; discrete event systems; graph theory; hybrid systems description; mathematical approach; modelling; numerical example; simulation; Boolean functions; Continuous time systems; Differential equations; Discrete event systems; Discrete time systems; Mathematical model; Petri nets; Power system modeling; Sampled data systems; Switches;
Conference_Titel :
Parallel and Distributed Real-Time Systems, 1997. Proceedings of the Joint Workshop on
Conference_Location :
Geneva
Print_ISBN :
0-8186-8096-2
DOI :
10.1109/WPDRTS.1997.637984
