Limit Cycles in a Class of Hybrid Dynamical Systems |
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| Authors: | Alexey S Matveev Andrey V Savkin |
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| Affiliation: | (1) Department of Mathematics and Mechanics, St. Petersburg University, Bybliotechnaya 2, Petrodvoretz, St. Petersburg 198904, Russia. almat@am1540.spb.edu., RU;(2) School of Electrical Engineering and Telecommunications, The University of New South Wales, Sydney, NSW 2052, Australia. a.savkin@unsw.edu.au., AU |
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| Abstract: | This paper deals with qualitative analysis of the so-called switched fluid networks. Such networks are used to model communication,
computer, and flexible manufacturing systems. We prove that for any deterministic network from a specific class, there exists
a finite number of limit cycles attracting all the trajectories of the system. Furthermore, we determine this number.
Date received: March 11, 2000. Date revised: January 19, 2001. |
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| Keywords: | , Deterministic network, Fluid model, Stable limit cycles, |
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