A stability-instability boundary for disturbance-free slow adaptation and unmodeled dynamics

1 December 1984

conference paper
Published by Institute of Electrical and Electronics Engineers (IEEE)

Vol. 23, 998-1001
https://doi.org/10.1109/cdc.1984.272164

Abstract

The instability of adaptive schemes at very low or even infinitesimal values of parameter adjustment gain has the form of a slow drift of adjustable parameters. With an averaging analysis we derive not only a sufficient condition for stability of this drift, but also a sufficient condition for it to be unstable. The result is a sharp boundary between stability and instability, which has a simple interpretation of signal energy.

Keywords

SUFFICIENT CONDITIONS
FREQUENCY
STABILITY ANALYSIS
EQUATIONS
VECTORS
ADAPTIVE SYSTEMS
FEEDBACK LOOP
TIME VARYING SYSTEMS
FILTERS
ADAPTIVE CONTROL

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