Averaging with disturbances and closeness of solutions
type: Item
instance of: scholarly article
title: Averaging with disturbances and closeness of solutions
zbMATH Open document ID: 0993.34045
DOI: 10.1016/S0167-6911(00)00024-4
published in: Systems \& Control Letters
publication date: 2000-08-21T00:00:00Z
review text: The authors establish that, under appropriate conditions, the solutions to a time-varying system with disturbances converge uniformly on compact time intervals to the solutions to the system's average as the rate of change of time increases to infinity. The notions of ``average'' used for systems with disturbances are the ``strong'' and ``weak'' averages introduced by \textit{D. Nešić} and \textit{A. R. Teel} [Input-to-state stability for nonlinear time-varying systems via averaging, Math. Control Signals Syst. 14, No. 3, 257-280 (2001; Zbl 0997.93088); see also: On averaging and the ISS property, Proceedings of the 38th Conference on Decision and Control, Phoenix, AZ, December 1999, 3346-3351 (1999)].
Mathematics Subject Classification ID: 34C29
Mathematics Subject Classification ID: 93C73
zbMATH DE Number: 1493466
zbMATH Keywords: weak averaging
zbMATH Keywords: strong averaging
zbMATH Keywords: continuity of solutions
author: Andrew Teel
author: Dragan Nešić
MaRDI profile type: Publication
cites work: Q3996810
cites work: Q5529796
cites work: Q3029380
cites work: Q5569338
cites work: Averaging methods in nonlinear dynamical systems
cites work: Semi-global practical asymptotic stability and averaging
cites work: AVERAGING IN SYSTEMS OF ORDINARY DIFFERENTIAL EQUATIONS
Wikidata QID: Q127097579
description: scientific article; zbMATH DE number 1493466