On the reduction of the continuous-time generalized algebraic Riccati equation: an effective procedure for solving the singular LQ problem with smooth solutions
type: Item
instance of: scholarly article
title: On the reduction of the continuous-time generalized algebraic Riccati equation: an effective procedure for solving the singular LQ problem with smooth solutions
zbMATH Open document ID: 1401.49043
author: Augusto Ferrante
author: Lorenzo Ntogramatzidis
published in: Automatica
publication date: 2018-10-17T00:00:00Z
Mathematics Subject Classification ID: 49N10
zbMATH DE Number: 6957808
zbMATH Keywords: continuous-time constrained generalized Riccati equation
zbMATH Keywords: singular linear quadratic (LQ) optimal control problem
MaRDI profile type: Publication
full work available at URL: j.automatica.2018.04.034
OpenAlex ID: W2799468485
cites work: Matrix Riccati equations in control and systems theory
cites work: Spectral and Inner-Outer Factorizations of Rational Matrices
cites work: The Extended Symplectic Pencil and the Finite-Horizon LQ Problem With Two-Sided Boundary Conditions
cites work: The generalised discrete algebraic Riccati equation in linear-quadratic optimal control
cites work: The generalized continuous algebraic Riccati equation and impulse-free continuous-time LQ optimal control
cites work: Continuous-time singular linear-quadratic control: necessary and sufficient conditions for the existence of regular solutions
cites work: On a class of rational matrix differential equations arising in stochastic control.
cites work: Generalized continuous-time Riccati theory
cites work: Q4382831
cites work: Q4850020
cites work: A contraction analysis of the convergence of risk-sensitive filters
cites work: The discrete-time generalized algebraic Riccati equation: order reduction and solutions' structure
cites work: The geometry of the generalized algebraic Riccati equation and of the singular Hamiltonian system
cites work: Q3126831
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
cites work: Q3128879
cites work: Convergence Analysis of a Family of Robust Kalman Filters Based on the Contraction Principle
cites work: Robust Kalman Filtering Under Model Perturbations
DOI: 10.1016/J.AUTOMATICA.2018.04.034
description: scientific article; zbMATH DE number 6957808