Quasi-dissipativeness and \(L\)-dissipativeness of nonlinear systems
type: Item
instance of: scholarly article
title: Quasi-dissipativeness and \(L\)-dissipativeness of nonlinear systems
zbMATH Open document ID: 0968.93073
author: R. Smith
published in: Doklady Mathematics
publication date: 2001-01-28T00:00:00Z
review text: This paper establishes boundedness conditions for solutions to systems with a nonlinear nominal part based on averaged integral quasi-dissipation inequalities. Necessary and sufficient quasi-dissipation conditions are obtained in terms of a supply function, and the composition of quasi-dissipative systems is shown to be dissipative in the sense of Levinson (\(L\)-dissipative).
Mathematics Subject Classification ID: 93D20
Mathematics Subject Classification ID: 93C10
zbMATH DE Number: 1557485
zbMATH Keywords: boundedness conditions
zbMATH Keywords: nonlinear
zbMATH Keywords: quasi-dissipation inequalities
zbMATH Keywords: supply function
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1557485