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International Journal of Control Volume 50, 1989 - Issue 3
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Original Articles

Global Lyapunov stability and exponential convergence of direct adaptive control

ROLF JOHANSSON Department of Automatic Control, Lund Institute of Technology, Box 118, Lund, S-221 00, Sweden
Pages 859-869 | Received 30 Aug 1988, Published online: 17 Apr 2007
 
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Abstract

The stability properties of discrete time model reference adaptive control systems are examined. Lyapunov functions and strong convergence results are given for some classes of adaptive systems. We show l 2-stability, Lyapunov stability, and finite time convergence for a set of tracking error states.

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