Geodesic
Stability of a class of adaptive nonlinear systems
International Journal of Applied Mathematics and Computer Science, Tome 15 (2005) no. 4, pp. 455-462.

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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.
Keywords: nonlinear systems, Lyapunov stability, adaptive systems
Mots-clés : system nieliniowy, stabilność Lapunova, układ adaptacyjny 
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Dzieliński, A. Stability of a class of adaptive nonlinear systems. International Journal of Applied Mathematics and Computer Science, Tome 15 (2005) no. 4, pp. 455-462. http://geodesic.mathdoc.fr/item/IJAMCS_2005_15_4_a2/

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