Stability theory for adaptive systems: Methods of averaging and persistency of excitation
- 1 December 1985
- conference paper
- Published by Institute of Electrical and Electronics Engineers (IEEE)
- Vol. 24, 478-483
- https://doi.org/10.1109/cdc.1985.268489
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 then 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 which shows the relation between persistent excitation and unmodeled dynamics.Keywords
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