On the positive definite solutions to the 2-D continuous-time Lyapunov equation
type: Item
instance of: scholarly article
title: On the positive definite solutions to the 2-D continuous-time Lyapunov equation
zbMATH Open document ID: 0878.93038
DOI: 10.1023/A:1008265813167
author: Chengshan Xiao
author: Panajotis Agathoklis
author: David J. Hill
published in: Multidimensional Systems and Signal Processing
publication date: 1997-07-28T00:00:00Z
review text: The very strict positive real lemma is extended for nonminimal 1-D continuous systems. New necessary and sufficient conditions for the existence of positive definite solutions to the 2-D continuous Lyapunov equation are established. Two algorithms for the solution of 2-D continuous Lyapunov equations are presented and illustrated by a numerical example.
reviewed by: Tadeusz Kaczorek
Mathematics Subject Classification ID: 93C35
Mathematics Subject Classification ID: 15A24
zbMATH DE Number: 1040603
zbMATH Keywords: strict positive real lemma
zbMATH Keywords: 2-D continuous Lyapunov equations
MaRDI profile type: Publication
full work available at URL: a:1008265813167
OpenAlex ID: W2049517688
description: scientific article; zbMATH DE number 1040603