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
Published in:
Decision and Control, 1998. Proceedings of the 37th IEEE Conference on
(Volume:3
)
Date of Conference: 1998