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Towards a qualitative theory of differential automata. 2. An analog of the Poincare-Bendixon theorem

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2 Author(s)
Matveev, A.S. ; Dept. of Electr. & Electron. Eng., Western Australia Univ., Nedlands, WA, Australia ; Savkin, A.V.

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

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

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