Analysis of switched linear systems in the plane. I: Local behavior of trajectories and local cycle geometry
type: Item
instance of: scholarly article
title: Analysis of switched linear systems in the plane. I: Local behavior of trajectories and local cycle geometry
zbMATH Open document ID: 0586.93032
DOI: 10.1007/BF00938213
author: J. T. Aslanis
author: Kenneth A. Loparo
author: Otomar Hájek
published in: Journal of Optimization Theory and Applications
publication date: 1987-01-01T00:00:00Z
review text: This paper investigates the problem of control of switched linear systems evolving in \(R^ 2\). The concept of an opposition point is introduced, and its properties related to the existence of closed trajectories in the phase plane are investigated. The geometry of cycles in a neighbourhood of an opposition point is also studied.
Mathematics Subject Classification ID: 93C10
Mathematics Subject Classification ID: 93B99
Mathematics Subject Classification ID: 49J30
zbMATH DE Number: 3941372
zbMATH Keywords: switched linear systems
zbMATH Keywords: opposition point
zbMATH Keywords: geometry of cycles
zbMATH Keywords: variable structure systems
Wikidata QID: Q57979263
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3941372