Title :
Mathematical modelling on Hybrid Dynamical Systems: An application to the bouncing ball and a two-tanks system
Author :
Manrique, Tatiana ; Patino, Diego
Author_Institution :
Dept. de Electron., Pontificia Univ. Javeriana, Bogota, Colombia
Abstract :
Mathematical modeling of Hybrid Dynamical Systems (HDS) aims for describing in a more complete formulation those behaviors composed by discrete and continuous dynamics. This article develops a detailed mathematical description of two systems which exhibit a hybrid behavior through two different models widely known in the HDS theory: The Switched systems and the Hybrid automaton. In addition, some differences and similarities between them are highlighted.
Keywords :
continuous time systems; discrete systems; multivariable systems; time-varying systems; bouncing ball; continuous dynamics; discrete dynamics; hybrid automaton; hybrid dynamical system; mathematical modelling; switched system; two-tanks system; Automata; Filling; Mathematical model; Switched systems; Switches; Trajectory; Two-tanks systems; bouncing ball; hybrid automaton; hybrid dynamical system; switched systems;
Conference_Titel :
ANDESCON, 2010 IEEE
Conference_Location :
Bogota
Print_ISBN :
978-1-4244-6740-2
DOI :
10.1109/ANDESCON.2010.5633052
