IMA Journal of Mathematical Control and Information 1987 4(2):167-181; doi:10.1093/imamci/4.2.167
© 1987 by Institute of Mathematics and its Applications
Positive-Real Structure and High-Gain Adaptive Stabilization
D. H. OWENS1,
D. PRÄTZEL-WOLTERS2 and
A. ILCHMANN2
1Department of Mathematics, University of Strathclyde 26 Richmond Street, Glasgow G1 1XH Scotland
2Institut für Dynamische Systeme, Universität Bremen 2800 Bremen 33, West Germany
This paper investigates the use of positive real conditions in the analysis of high-gain adaptive control rules for linear systems subjected to nonlinear perturbations of the state and input.

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