On the positive invariance of polyhedral sets for discrete-time systems
type: Item
instance of: scholarly article
title: On the positive invariance of polyhedral sets for discrete-time systems
zbMATH Open document ID: 0661.93045
DOI: 10.1016/0167-6911(88)90065-5
author: Georges Bitsoris
published in: Systems \& Control Letters
publication date: 1988-01-01T00:00:00Z
review text: Necessary and sufficient conditions for a polyhedral set to be a positively invariant set of a linear discrete-time system are established. A main ingredient in the proof is the duality theorem of linear programming. Parts of the results can also be stated in terms of a non-quadratic Lyapunov-function.
Mathematics Subject Classification ID: 93C55
Mathematics Subject Classification ID: 93C05
Mathematics Subject Classification ID: 52Bxx
Mathematics Subject Classification ID: 93D99
zbMATH DE Number: 4081414
zbMATH Keywords: polyhedral set
zbMATH Keywords: positively invariant set
zbMATH Keywords: linear discrete-time system
zbMATH Keywords: non-quadratic Lyapunov-function
reviewed by: Johannes W. Nieuwenhuis
MaRDI profile type: Publication
full work available at URL: 0167-6911(88)90065-5
OpenAlex ID: W1999935017
cites work: Positively invariant polyhedral sets of discrete-time linear systems
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cites work: Reachability, Observability, and Realizability of Continuous-Time Positive Systems
cites work: Spectral Properties of Matrices which have Invariant Cones
cites work: Feedback control of linear discrete-time systems under state and control constraints
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description: scientific article; zbMATH DE number 4081414