Robust stabilization of uncertain systems
type: Item
instance of: scholarly article
title: Robust stabilization of uncertain systems
zbMATH Open document ID: 0847.93054
author: Nicolas Seube
published in: Journal of Mathematical Analysis and Applications
publication date: 1996-03-31T00:00:00Z
review text: A controlled system with bounded deterministic uncertainty is described by a differential inclusion. Assuming that a Lyapunov function is known, a differential inclusion, governing the evolution of some subset of admissible controls in order to achieve asymptotic stability is derived. Under some regularity assumptions, a set-valued evolution law of stabilizing controls can be found explicitly. In order to implement a robust dynamical closed loop, a single valued explicit control scheme is proposed. An illustrative example is presented.
Mathematics Subject Classification ID: 93D21
Mathematics Subject Classification ID: 93D30
zbMATH DE Number: 861827
zbMATH Keywords: robust stabilization
zbMATH Keywords: differential inclusion
zbMATH Keywords: Lyapunov function
reviewed by: Mikhail Krastanov
MaRDI profile type: Publication
full work available at URL: jmaa.1995.1419
OpenAlex ID: W2065586780
DOI: 10.1006/JMAA.1995.1419
description: scientific article; zbMATH DE number 861827