Boundary controller and observer design for Korteweg-de Vries type equations için kapak resmi
Boundary controller and observer design for Korteweg-de Vries type equations
Başlık:
Boundary controller and observer design for Korteweg-de Vries type equations
Yazar:
Arabacı, Eda, author.
Yazar Ek Girişi:
Fiziksel Tanımlama:
vii, 52 leaves:+ 1 computer laser optical disc.
Özet:
This thesis studies the back-stepping boundary controllability of Korteweg-de Vries (KdV) type equations posed on a bounded interval. The results on the back-stepping controllability of the KdV equation obtained in Cerpa and Coron (2013) and Cerpa (2012) are reviewed and extended to the KdV-Burgers (KdVB) equation. The stability of the KdVB equation is boosted to any desired exponential rate for sufficiently small initial data with a boundary feedback controller acting on the Dirichlet boundary condition. Moreover, the case that there is no full access to the system is considered. For these kinds of systems, an observer is constructed assuming an appropriate boundary measurement is available. The ideas about designing output feedback control for the KdV equation presented in Marx and Cerpa (2016), and Hasan (2016) are reviewed and extended to the KdVB model.
Konu Başlığı:
Yazar Ek Girişi:
Tek Biçim Eser Adı:
Thesis (Master)--İzmir Institute of Technology:Mathematics

İzmir Institute of Technology:Mathematics--Thesis (Master).
Elektronik Erişim:
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