Technical Communique: A switched server system of order n with all its trajectories converging to (n-1)! limit cycles

Authors:
Andrey V. Savkin;Alexey S. Matveev
Affiliations:
School of Electrical Engineering and Telecommunications, University of New South Wales, Sydney NSW 2052, Australia;Department of Electrical and Electronic Engineering, University of Western Australia, WA 6907, Australia
Venue:
Automatica (Journal of IFAC)
Year:
2001

Citing 3
Cited 1

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Hybrid dynamical systems: robust control synthesis problems

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Brief Cyclic linear differential automata: a simple class of hybrid dynamical systems

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Optimal distributed real-time scheduling of flexible manufacturing networks modeled as hybrid dynamical systems

Robotics and Computer-Integrated Manufacturing

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Abstract

The paper analyzes an example of the discrete control of a continuous variable system. We prove that the switched server system with one server and an arbitrary number of buffers has a finite set of periodic trajectories which attracts all other trajectories of the system.