The regulator problem with indefinite quadratic cost for boundary control systems: the finite horizon case
type: Item
instance of: scholarly article
title: The regulator problem with indefinite quadratic cost for boundary control systems: the finite horizon case
zbMATH Open document ID: 0943.49024
DOI: 10.1016/S0167-6911(99)00091-2
published in: Systems \& Control Letters
publication date: 2000-06-04T00:00:00Z
Mathematics Subject Classification ID: 49N10
Mathematics Subject Classification ID: 49J20
zbMATH DE Number: 1454157
zbMATH Keywords: quadratic regulator problem
zbMATH Keywords: boundary control
zbMATH Keywords: finite horizon
zbMATH Keywords: hyperbolic systems
zbMATH Keywords: exact controllability
zbMATH Keywords: LQ-problem
author: Francesca Bucci
author: Luciano Pandolfi
MaRDI profile type: Publication
cites work: The Riccati equation
cites work: Representation and control of infinite dimensional systems. Vol. 2
cites work: The Value Function of the Singular Quadratic Regulator Problem with Distributed Control Action
cites work: Singular optimal control: The linearquadratic problem
cites work: Algebraic Riccati equations with non-smoothing observation arising in hyperbolic and Euler-Bernoulli boundary control problems
cites work: The maximally achievable accuracy of linear optimal regulators and linear optimal filters
cites work: A Lifting Theorem for the Time Regularity of Solutions to Abstract Equations with Unbounded Operators and Applications to Hyperbolic Equations
cites work: Differential and algebraic Riccati equations with application to boundary/point control problems: Continuous theory and approximation theory
cites work: Nonnegativity of a Quadratic Functional
cites work: The Kalman-Popov-Yakubovich Theorem: an overview and new results for hyperbolic control systems
cites work: Dissipativity and the Lur'e Problem for Parabolic Boundary Control Systems
cites work: The Kalman-Yakubovich-Popov theorem for stabilizable hyperbolic boundary control systems
cites work: Controllability and Stabilizability Theory for Linear Partial Differential Equations: Recent Progress and Open Questions
cites work: Constrained Regular LQ-Control Problems
cites work: An optimal control problem with unbounded control operator and unbounded observation operator where the algebraic Riccati equation is satisfied as a Lyapunov equation
cites work: Q5672519
cites work: Optimal control for linear systems with a quadratic indefinite criterion on Hilbert spaces
full work available at URL: s0167-6911(99)00091-2
OpenAlex ID: W2061338299
description: scientific article; zbMATH DE number 1454157