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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10.1109/cdc.1985.268489

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title = "STABILITY THEORY FOR ADAPTIVE SYSTEMS: METHODS OF AVERAGING AND PERSISTENCY OF EXCITATION.",

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",

doi = "10.1109/cdc.1985.268489",

language = "English",

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journal = "Proceedings of the IEEE Conference on Decision and Control",

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AU - Kosut, R. L.

AU - Anderson, B. D.O.

AU - Mareels, I.

PY - 1985

Y1 - 1985

N2 - 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.

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.

UR - https://www.scopus.com/pages/publications/0022291520

U2 - 10.1109/cdc.1985.268489

DO - 10.1109/cdc.1985.268489

M3 - Conference article

AN - SCOPUS:0022291520

SN - 0191-2216

SP - 478

EP - 483

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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