Existence and stability of periodic trajectories in switched server systems
type: Item
instance of: scholarly article
title: Existence and stability of periodic trajectories in switched server systems
zbMATH Open document ID: 0962.93050
DOI: 10.1016/S0005-1098(99)00206-X
published in: Automatica
publication date: 2001-05-28T00:00:00Z
review text: The authors consider a hybrid dynamical system, called switched server system which consists of one server and an arbitrary number of buffers. It is shown that the state space of this system can be partitioned into a set of polytopes such that each of them is invariant and contains one periodic trajectory. Moreover, this trajectory is the attractor for all other trajectories emanating from the same polytope.
Mathematics Subject Classification ID: 93C30
Mathematics Subject Classification ID: 93D99
Mathematics Subject Classification ID: 93B12
zbMATH DE Number: 1441467
zbMATH Keywords: hybrid system
zbMATH Keywords: switched server system
zbMATH Keywords: periodic trajectory
zbMATH Keywords: stability
zbMATH Keywords: attractor
zbMATH Keywords: invariant polytope
Wikidata QID: Q58883787
author: A. V. Savkin
author: A. S. Matveev
reviewed by: Valerii V. Obukhovskij
MaRDI profile type: Publication
cites work: Periodicity and chaos from switched flow systems: contrasting examples of discretely controlled continuous systems
cites work: A topological analysis of a family of dynamical systems with non-standard chaotic and periodic behaviour
cites work: Stability of hybrid dynamic systems
cites work: Stable, distributed, real-time scheduling of flexible manufacturing/assembly/diassembly systems
cites work: Controlling chaos in a switched arrival system
full work available at URL: s0005-1098(99)00206-x
OpenAlex ID: W2146242191
description: scientific article; zbMATH DE number 1441467