Title :
On the equivalence of classes of hybrid dynamical models
Author :
Heemels, W.P.M.H. ; De Schutter, Bart ; Bemporad, A.
Author_Institution :
Dept. of Electr. Eng., Eindhoven Univ. of Technol., Netherlands
Abstract :
We establish equivalences among five classes of hybrid systems, that we have encountered in previous research: mixed logical dynamical systems, linear complementarity systems, extended linear complementarity systems, piecewise affine systems, and max-min-plus-scaling systems. These results are of paramount importance for transferring properties and tools from one class to another
Keywords :
continuous time systems; discrete systems; linear systems; hybrid dynamical models; linear complementarity systems; max-min-plus-scaling systems; mixed logical dynamical systems; piecewise affine systems; Automata; Computer science; Control design; Control system analysis; Control systems; Fault detection; Linear systems; Logic; Safety; State estimation;
Conference_Titel :
Decision and Control, 2001. Proceedings of the 40th IEEE Conference on
Conference_Location :
Orlando, FL
Print_ISBN :
0-7803-7061-9
DOI :
10.1109/.2001.980127
