Duality of observability and controllability properties of nonlinear dynamic systems
type: Item
instance of: scholarly article
title: Duality of observability and controllability properties of nonlinear dynamic systems
zbMATH Open document ID: 0918.93006
published in: Journal of Computer and Systems Sciences International
publication date: 1999-08-24T00:00:00Z
review text: The author establishes the duality between observability and controllability for discrete nonlinear dynamical systems. The paper has three parts: 1. A minimal image and a minimal preimage of the upper systems are introduced and the author proves their uniqueness up to isomorphism and their controllability. 2. The duality between observability and controllability is investigated in terms of function algebra. 3. The analysis of observability and controllability demonstrates their dual nature at the structural level and shows that their duality has a category-theoretic nature.
Mathematics Subject Classification ID: 93B05
Mathematics Subject Classification ID: 93C10
Mathematics Subject Classification ID: 93C55
zbMATH DE Number: 1274248
zbMATH Keywords: duality
zbMATH Keywords: observability
zbMATH Keywords: controllability
zbMATH Keywords: discrete nonlinear dynamical systems
zbMATH Keywords: function algebra
author: Alexey Zhirabok
reviewed by: Bohumil František Šmarda
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1274248