The generalized continuous algebraic Riccati equation and impulse-free continuous-time LQ optimal control
type: Item
instance of: scholarly article
title: The generalized continuous algebraic Riccati equation and impulse-free continuous-time LQ optimal control
zbMATH Open document ID: 1421.49030
author: Augusto Ferrante
author: Lorenzo Ntogramatzidis
published in: Automatica
publication date: 2014-10-17T00:00:00Z
full work available at URL: https://arxiv.org/abs/1305.5312
Mathematics Subject Classification ID: 49N10
Mathematics Subject Classification ID: 49N25
zbMATH DE Number: 6357804
zbMATH Keywords: generalized discrete algebraic Riccati equation
zbMATH Keywords: linear quadratic (LQ) optimal control
zbMATH Keywords: continuous-time
zbMATH Keywords: impulse-free optimal control
MaRDI profile type: Publication
OpenAlex ID: W2963511255
arXiv ID: 1305.5312
cites work: Spectral and Inner-Outer Factorizations of Rational Matrices
cites work: The generalised discrete algebraic Riccati equation in linear-quadratic optimal control
cites work: The Extended Symplectic Pencil and the Finite-Horizon LQ Problem With Two-Sided Boundary Conditions
cites work: System structure and singular control
cites work: Generalized continuous-time Riccati theory
cites work: The full information and state feedback \(H_{2}\) optimal controllers for descriptor systems.
cites work: Singular LQ Control, Optimal PD Controller and Inadmissible Initial Conditions
cites work: A new approach to the cheap LQ regulator exploiting the geometric properties of the Hamiltonian system
cites work: Cheap and singular controls for linear quadratic regulators
cites work: Q3126831
cites work: The singular \(H_ 2\) control problem
cites work: The discrete algebraic Riccati equation and linear matrix inequality
cites work: Spectral and inner-outer factorizations through the constrained Riccati equation
cites work: Singular Optimal Control: A Geometric Approach
DOI: 10.1016/J.AUTOMATICA.2014.02.014
Recommended article: The generalised discrete algebraic Riccati equation in linear-quadratic optimal control
Recommended article: Q5754139
Recommended article: On the generalized algebraic Riccati equation for continuous-time descriptor systems
Recommended article: Q4312521
Recommended article: On the solution of the Riccati differential equation arising from the LQ optimal control problem
Recommended article: On the reduction of the continuous-time generalized algebraic Riccati equation: an effective procedure for solving the singular LQ problem with smooth solutions
Recommended article: Q5482750
Recommended article: Employing the algebraic Riccati equation for a parametrization of the solutions of the finite-horizon LQ problem: the discrete-time case
Recommended article: Generalized differential Riccati equation and indefinite stochastic LQ control with cross term
Recommended article: New upper solution bounds for perturbed continuous algebraic Riccati equations applied to automatic control
description: scientific article; zbMATH DE number 6357804