Article ID Journal Published Year Pages File Type
720720 IFAC Proceedings Volumes 2007 6 Pages PDF
Abstract

We present necessary and sufficient conditions for uniform global asymptotic stability of Model-Reference Adaptive Control (MRAC) systems. Our conditions are stated in terms of a notion of persistency of excitation (PE) that is tailored for nonlinear systems; in particular, it applies to functions of time and state and allow critical cases such as vanishing at the origin. Thus, this property generalizes classical PE and rigourously settles conditions that were previously inferred without strict proof.

Related Topics
Physical Sciences and Engineering Engineering Computational Mechanics
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