Stability of a class of adaptive nonlinear systems
International Journal of Applied Mathematics and Computer Science, Tome 15 (2005) no. 4, p. 455.

Voir la notice de l'article dans European Digital Mathematics Library

This paper presents a research effort focused on the problem of robust stability of the closed-loop adaptive system. It is aimed at providing a general framework for the investigation of continuous-time, state-space systems required to track a (stable) reference model. This is motivated by the model reference adaptive control (MRAC) scheme, traditionally considered in such a setting. The application of differential inequlities results to the analysis of the Lyapunov stability for a class of nonlinear systems is investigated and it is shown how the problem of model following control may be tackled using this methodology.
Classification : 93C40, 34D20, 93D05, 93D09
Mots-clés : Lyapunov stability, adaptive systems, nonlinear systems 
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     author = {Andrzej Dzielinski},
     title = {Stability of a class of adaptive nonlinear systems},
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     zbl = {1127.93044},
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Andrzej Dzielinski. Stability of a class of adaptive nonlinear systems. International Journal of Applied Mathematics and Computer Science, Tome 15 (2005) no. 4, p. 455. https://geodesic-test.mathdoc.fr/item/IJAMCS_2005__15_4_207757/