TY - JOUR
T1 - STABILITY THEORY FOR ADAPTIVE SYSTEMS
T2 - METHOD OF AVERAGING AND PERSISTENCY OF EXCITATION.
AU - Kosut, Robert L.
AU - Anderson, Brian D.O.
AU - Mareels, Iven M.Y.
PY - 1987
Y1 - 1987
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 an average value. The technique is then applied to determine the stability of a linear equation that 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.
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 an average value. The technique is then applied to determine the stability of a linear equation that 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.
UR - http://www.scopus.com/inward/record.url?scp=0023126076&partnerID=8YFLogxK
U2 - 10.1109/tac.1987.1104445
DO - 10.1109/tac.1987.1104445
M3 - Article
AN - SCOPUS:0023126076
SN - 0018-9286
VL - AC-32
SP - 26
EP - 34
JO - IEEE Transactions on Automatic Control
JF - IEEE Transactions on Automatic Control
IS - 1
ER -