Stability of a class of adaptive nonlinear systems
International Journal of Applied Mathematics and Computer Science (2005)
- Volume: 15, Issue: 4, page 455-462
- ISSN: 1641-876X
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topDzielinski, Andrzej. "Stability of a class of adaptive nonlinear systems." International Journal of Applied Mathematics and Computer Science 15.4 (2005): 455-462. <http://eudml.org/doc/207757>.
@article{Dzielinski2005,
abstract = {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.},
author = {Dzielinski, Andrzej},
journal = {International Journal of Applied Mathematics and Computer Science},
keywords = {Lyapunov stability; adaptive systems; nonlinear systems},
language = {eng},
number = {4},
pages = {455-462},
title = {Stability of a class of adaptive nonlinear systems},
url = {http://eudml.org/doc/207757},
volume = {15},
year = {2005},
}
TY - JOUR
AU - Dzielinski, Andrzej
TI - Stability of a class of adaptive nonlinear systems
JO - International Journal of Applied Mathematics and Computer Science
PY - 2005
VL - 15
IS - 4
SP - 455
EP - 462
AB - 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.
LA - eng
KW - Lyapunov stability; adaptive systems; nonlinear systems
UR - http://eudml.org/doc/207757
ER -
References
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