Cyclic linear differential automata: A simple class of hybrid dynamical systems
type: Item
instance of: scholarly article
title: Cyclic linear differential automata: A simple class of hybrid dynamical systems
zbMATH Open document ID: 0986.93043
DOI: 10.1016/S0005-1098(99)00199-5
published in: Automatica
publication date: 2002-06-13T00:00:00Z
review text: A special class of hybrid dynamical systems, cyclic linear differential automata (CLDA), is introduced. It is shown that any CLDA can be reduced to a linear discrete-time system with periodic coefficients. Any CLDA has no equilibrium points. Therefore, the simplest attractor in such a system is a periodic trajectory. The CLDA is called globally stable if it has a periodic trajectory that attracts all other trajectories of the system. A necessary and sufficient condition for global stability of CLDA is given.
reviewed by: Tiit Riismaa
Mathematics Subject Classification ID: 93C65
Mathematics Subject Classification ID: 93D20
Mathematics Subject Classification ID: 93C55
Mathematics Subject Classification ID: 37B15
zbMATH DE Number: 1441460
zbMATH Keywords: limit cycles
zbMATH Keywords: manufacturing systems
zbMATH Keywords: logic controllers
zbMATH Keywords: hybrid dynamical systems
zbMATH Keywords: cyclic linear differential automata
zbMATH Keywords: linear discrete-time system
zbMATH Keywords: attractor
zbMATH Keywords: periodic trajectory
zbMATH Keywords: global stability
Wikidata QID: Q58883785
author: A. V. Savkin
author: A. S. Matveev
MaRDI profile type: Publication
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full work available at URL: s0005-1098(99)00199-5
OpenAlex ID: W2174923435
DBLP publication ID: journals/automatica/SavkinM00
description: scientific article; zbMATH DE number 1441460