New results in 2D optimal control theory
type: Item
instance of: scholarly article
title: New results in 2D optimal control theory
zbMATH Open document ID: 0836.93038
DOI: 10.1007/BF00981083
author: Mauro Bisiacco
published in: Multidimensional Systems and Signal Processing
publication date: 1996-04-11T00:00:00Z
review text: The infinite horizon LQ optimal control problem for 2-D linear systems described by the Fornasini-Marchesini model is solved. An orthogonality principle for the optimal solution is established and it is shown that the 2-D algebraic Riccati equation is a direct consequence of it. It is also shown that an other approach allows to reduce the optimal control problem to a norm minimization one in Hilbert spaces. Necessary and sufficient conditions for the solvability and the structure of the solution are derived. The necessity of the PBH stabilizability and detectability properties is proved.
reviewed by: Tadeusz Kaczorek
Mathematics Subject Classification ID: 93C62
Mathematics Subject Classification ID: 49N10
Mathematics Subject Classification ID: 93D15
zbMATH DE Number: 811686
zbMATH Keywords: infinite horizon
zbMATH Keywords: LQ optimal control
zbMATH Keywords: 2-D
zbMATH Keywords: Riccati equation
MaRDI profile type: Publication
cites work: State and output feedback stabilizability of 2-D systems
cites work: Controllability of 2-D systems
cites work: Noninteracting control of 2-D systems
cites work: Optimal control of 2-D systems
cites work: Optimal Control of Two-Dimensional Systems
cites work: Stability analysis of 2-D systems
description: scientific article; zbMATH DE number 811686