Title :
Towards a qualitative theory of differential automata. 2. An analog of the Poincare-Bendixon theorem
Author :
Matveev, Alexey S. ; Savkin, Andrey V.
Author_Institution :
Dept. of Electr. & Electron. Eng., Western Australia Univ., Nedlands, WA, Australia
Abstract :
The paper considers an important class of hybrid dynamical systems called differential automata. For planar differential automata, we derive an analog of the classic Poincare-Bendixon theorem. This result is applied to demonstrate that, for the so-called three buffer switched arrival system, certain control policies exhibit not chaotic but simple periodic dynamics
Keywords :
automata theory; continuous time systems; discrete event systems; dynamics; Poincare-Bendixon theorem; continuous time systems; differential automata; discrete event systems; hybrid dynamical systems; periodic dynamics; qualitative theory; switched arrival system; Automata; Automatic control; Chaos; Control systems; Differential equations; Discrete event systems; Limit-cycles; Road vehicles; Vehicle driving; Vehicle dynamics;
Conference_Titel :
Decision and Control, 1998. Proceedings of the 37th IEEE Conference on
Conference_Location :
Tampa, FL
Print_ISBN :
0-7803-4394-8
DOI :
10.1109/CDC.1998.758192
