DocumentCode
336829
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
Volume
3
fYear
1998
fDate
1998
Firstpage
3208
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;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 1998. Proceedings of the 37th IEEE Conference on
Conference_Location
Tampa, FL
ISSN
0191-2216
Print_ISBN
0-7803-4394-8
Type
conf
DOI
10.1109/CDC.1998.758192
Filename
758192
Link To Document