About the Stabilization of a Nonlinear Perturbed Difference Equation
Data(s) |
20/05/2013
20/05/2013
2012
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Resumo |
This paper investigates the local asymptotic stabilization of a very general class of instable autonomous nonlinear difference equations which are subject to perturbed dynamics which can have a different order than that of the nominal difference equation. In the general case, the controller consists of two combined parts, namely, the feedback nominal controller which stabilizes the nominal (i.e., perturbation-free) difference equation plus an incremental controller which completes the stabilization in the presence of perturbed or unmodeled dynamics in the uncontrolled difference equation. A stabilization variant consists of using a single controller to stabilize both the nominal difference equation and also the perturbed one under a small-type characterization of the perturbed dynamics. The study is based on Banach fixed point principle, and it is also valid with slight modification for the stabilization of unstable oscillatory solutions. |
Identificador |
Discrete Dynamics in Nature and Society 2012 : (2012) // Article ID 320302 1026-0226 http://hdl.handle.net/10810/10132 10.1155/2012/320302 |
Idioma(s) |
eng |
Publicador |
Hindawi Publishing Corporation |
Relação |
http://www.hindawi.com/journals/ddns/2012/320302/ |
Direitos |
© 2012 M. De la Sen. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. info:eu-repo/semantics/openAccess |
Palavras-Chave | #global exponential stability #adaptive control #discrete systems #neural networks #dynamics #behavior #delays |
Tipo |
info:eu-repo/semantics/article |