Existence and Stability of Limit Cycles in Switched Single Server Flow Networks Modelled as Hybrid Dynamical Systems
The paper deals with the qualitative analysis of the so-called switched flow networks. Such networks are used to model various 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. Furthermore, we determine this number.
KeywordsControl Policy Processing Part Periodic Trajectory Invariant Domain Hybrid Dynamical System
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