Existence and uniqueness of extremal solutions of the Riccati equation, and symplectic geometry
type: Item
instance of: scholarly article
title: Existence and uniqueness of extremal solutions of the Riccati equation, and symplectic geometry
zbMATH Open document ID: 0565.58020
DOI: 10.1007/BF01086037
author: L. E. Fajbusovich
publication date: 1985-01-01T00:00:00Z
review text: Symplectic geometry is applied to the problem of existence and uniqueness of the stabilizing solution of algebraic Riccati equations. The existence of positive Lagrangian subspace and controllability assumptions determine the special properties of a Hamiltonian, arising from linear-quadratic control problem.
Mathematics Subject Classification ID: 37J99
zbMATH DE Number: 3901685
zbMATH Keywords: Symplectic geometry
zbMATH Keywords: algebraic Riccati equations
zbMATH Keywords: linear-quadratic control problem
MaRDI profile type: Publication
cites work: Linear multivariable control. A geometric approach
cites work: Q4167627
cites work: Existence and uniqueness theorems for the algebraic Riccati equation
published in: Functional Analysis and Its Applications
description: scientific article; zbMATH DE number 3901685