STABILITY THEORY FOR ADAPTIVE SYSTEMS: METHODS OF AVERAGING AND PERSISTENCY OF EXCITATION.

R. L. Kosut; B. D.O. Anderson; I. Mareels

doi:10.1109/cdc.1985.268489

STABILITY THEORY FOR ADAPTIVE SYSTEMS: METHODS OF AVERAGING AND PERSISTENCY OF EXCITATION.

R. L. Kosut^*, B. D.O. Anderson, I. Mareels

^*Corresponding author for this work

Research output: Contribution to journal › Conference article › peer-review

9 Citations (Scopus)

Abstract

A method of averaging is developed for the stability analysis of linear differential equations with small time-varying coefficients which do not necessarily possess a (global) average. The technique is applied to determine the stability of a linear equation which arises in the study of adaptive systems where the adaptive parameters are slowly varying. The stability conditions are stated in the frequency-domain, showing the relation between persistent excitation and unmodeled dynamics.

Original language	English
Pages (from-to)	478-483
Number of pages	6
Journal	Proceedings of the IEEE Conference on Decision and Control
DOIs	https://doi.org/10.1109/cdc.1985.268489
Publication status	Published - 1985
Externally published	Yes

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abstract = "A method of averaging is developed for the stability analysis of linear differential equations with small time-varying coefficients which do not necessarily possess a (global) average. The technique is applied to determine the stability of a linear equation which arises in the study of adaptive systems where the adaptive parameters are slowly varying. The stability conditions are stated in the frequency-domain, showing the relation between persistent excitation and unmodeled dynamics.",

author = "Kosut, {R. L.} and Anderson, {B. D.O.} and I. Mareels",

year = "1985",

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AU - Mareels, I.

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AB - A method of averaging is developed for the stability analysis of linear differential equations with small time-varying coefficients which do not necessarily possess a (global) average. The technique is applied to determine the stability of a linear equation which arises in the study of adaptive systems where the adaptive parameters are slowly varying. The stability conditions are stated in the frequency-domain, showing the relation between persistent excitation and unmodeled dynamics.

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M3 - Conference article

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JO - Proceedings of the IEEE Conference on Decision and Control

JF - Proceedings of the IEEE Conference on Decision and Control

ER -

STABILITY THEORY FOR ADAPTIVE SYSTEMS: METHODS OF AVERAGING AND PERSISTENCY OF EXCITATION.

Abstract

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