Guaranteed cost control of uncertain systems via Lur'e-Postnikov Lyapunov functions
type: Item
instance of: scholarly article
title: Guaranteed cost control of uncertain systems via Lur'e-Postnikov Lyapunov functions
zbMATH Open document ID: 0939.93032
DOI: 10.1016/S0005-1098(99)00139-9
published in: Automatica
publication date: 2000-07-10T00:00:00Z
review text: This paper gives necessary and sufficient conditions, in terms of a Riccati equation, for the nonquadratic stabilizability of an uncertain system with a Lyapunov function of the Lur'e-Postnikov form. An example is given which shows that a controller stabilizing the system with a Lur'e-Postnikov Lyapunov function may guarantee better performance, as compared to a controller synthesized using a standard quadratic Lyapunov function.
reviewed by: Mihail Megan
Mathematics Subject Classification ID: 93D10
Mathematics Subject Classification ID: 93D30
Mathematics Subject Classification ID: 93B36
Mathematics Subject Classification ID: 93D21
zbMATH DE Number: 1394981
zbMATH Keywords: robust control
zbMATH Keywords: uncertain system
zbMATH Keywords: absolute stability
zbMATH Keywords: quadratic stabilizability
zbMATH Keywords: Lur'e-Postnikov Lyapunov function
zbMATH Keywords: performance
author: Valery Ugrinovskii
author: Ian R. Petersen
MaRDI profile type: Publication
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full work available at URL: s0005-1098(99)00139-9
OpenAlex ID: W1969285869
description: scientific article; zbMATH DE number 1394981