On a stability criterion for continuous slow adaptation
type: Item
instance of: scholarly article
title: On a stability criterion for continuous slow adaptation
zbMATH Open document ID: 0569.93050
DOI: 10.1016/0167-6911(85)90047-7
author: B. Riedle
author: P. V. Kokotović
author: Laurent Praly
published in: Systems \& Control Letters
publication date: 1985-01-01T00:00:00Z
review text: The paper proves a criterion for exponential stability and unstability of the following linear system with periodic coefficients \[ \left[ \begin{matrix} \dot x\\ {\dot \theta}\end{matrix} \right]=\left[ \begin{matrix} A\\ -\epsilon \phi c'\end{matrix} \begin{matrix} b\phi '\\ -\epsilon \phi d\phi '\end{matrix} \right]\left[ \begin{matrix} x\\ \theta \end{matrix} \right],\quad \phi (t)=\phi (t+T). \] The applicability of this result to adaptive control is discussed.
Mathematics Subject Classification ID: 93C40
Mathematics Subject Classification ID: 34D15
Mathematics Subject Classification ID: 93C05
Mathematics Subject Classification ID: 34C29
Mathematics Subject Classification ID: 93D99
zbMATH DE Number: 3910264
zbMATH Keywords: exponential stability and unstability
zbMATH Keywords: linear system with periodic coefficients
zbMATH Keywords: adaptive control
reviewed by: A. L. Dontchev
MaRDI profile type: Publication
full work available at URL: 0167-6911(85)90047-7
OpenAlex ID: W2078201386
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description: scientific article; zbMATH DE number 3910264