Adaptive stabilization of a class of uncertain nonlinear systems: A differential inclusion approach
type: Item
instance of: scholarly article
title: Adaptive stabilization of a class of uncertain nonlinear systems: A differential inclusion approach
zbMATH Open document ID: 0694.93059
DOI: 10.1016/0167-6911(88)90003-5
author: E. P. Ryan
published in: Systems \& Control Letters
publication date: 1988-01-01T00:00:00Z
review text: The author considers a class of nonlinear systems with a linear time- invariant nominal part and an uncertain nonlinear perturbation part, and proposes an output feedback strategy with bounded adaptive scalar gain. This strategy renders the zero state of the system a global attractor. The main feature of this paper is that discontinuous feedbacks are admitted and analyzed in terms of the differential inclusion formulation of the basic problem of stabilization.
Mathematics Subject Classification ID: 93C40
Mathematics Subject Classification ID: 93C10
Mathematics Subject Classification ID: 93D15
zbMATH DE Number: 4137641
zbMATH Keywords: nonlinear systems
zbMATH Keywords: linear time-invariant nominal part
zbMATH Keywords: nonlinear perturbation
MaRDI profile type: Publication
full work available at URL: 0167-6911(88)90003-5
OpenAlex ID: W2040550562
cites work: Q3324260
cites work: Adaptive control of systems containing uncertain functions and unknown functions with uncertain bounds
cites work: Q3222061
cites work: Adaptive stabilization of not necessarily minimum phase plants
cites work: The order of any stabilizing regulator is sufficient a priori information for adaptive stabilization
cites work: A three-dimensional universal controller for the adaptive stabilization of any strictly proper minimum-phase system with relative degree not exceeding two
cites work: Adaptive stabilization of linear systems with unknown high-frequency gains
cites work: Some remarks on a conjecture in parameter adaptive control
description: scientific article; zbMATH DE number 4137641