Feedback control in LQCP with a terminal inequality constraint
type: Item
instance of: scholarly article
title: Feedback control in LQCP with a terminal inequality constraint
zbMATH Open document ID: 0654.93035
DOI: 10.1007/BF00939813
published in: Journal of Optimization Theory and Applications
publication date: 1989-01-01T00:00:00Z
review text: This paper considers the linear-quadratic control problem (LQCP) for systems defined by evolution operators with a terminal state inequality constraint. It is shown that, under suitable assumptions, the optimal control exists, is unique, and has a closed-loop structure. The synthesis of the feedback control requires to solve an integral Riccati equation for the unconstrained LQCP and a linear integral equation whose solution depends on a real parameter satisfying an additional condition.
Mathematics Subject Classification ID: 93C25
Mathematics Subject Classification ID: 93B50
Mathematics Subject Classification ID: 93C05
Mathematics Subject Classification ID: 45A05
Mathematics Subject Classification ID: 45N05
zbMATH DE Number: 4068722
zbMATH Keywords: linear-quadratic control problem
zbMATH Keywords: terminal state inequality constraint
zbMATH Keywords: synthesis
zbMATH Keywords: feedback control
zbMATH Keywords: integral Riccati equation
author: Zbigniew Emirsjlow
MaRDI profile type: Publication
cites work: The Infinite-Dimensional Riccati Equation for Systems Defined by Evolution Operators
cites work: Infinite dimensional linear systems theory
cites work: The Riccati Integral Equations for Optimal Control Problems on Hilbert Spaces
cites work: Q3766376
cites work: Some Remarks on Controllability for Distributed Parameter Systems
cites work: Q5184051
full work available at URL: https://doi.org/10.1007/bf00939813
OpenAlex ID: W2035020453
description: scientific article; zbMATH DE number 4068722