Exact and approximate distributed controllability of processes described by KdV and Boussinesq equations: The Green’s function approach

Exact and approximate distributed controllability of processes described by KdV and Boussinesq equations: The Green’s function approach

In this paper, we study the constrained exact and approximate controllability of travelingwave solutions of Korteweg-de Vries (third order) and Boussinesq (fourth order) semi-linearequations using the Green’s function approach. Control is carried out by a moving externalsource. Representing the gene...

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Bibliographic Details
Main Authors: Klamka Jerzy, Avetisyan Ara S., Khurshudyan Asatur Zh.
Format: Article
Language:English
Published: Polish Academy of Sciences 2020-03-01
Series:Archives of Control Sciences
Subjects:
kdv equation
boussinesq equation
frasca’s method
short time expansion
traveling wave
heuristic method
distributed control
constrained controllability
Online Access:http://journals.pan.pl/dlibra/publication/132591/edition/115854/content

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http://journals.pan.pl/dlibra/publication/132591/edition/115854/content

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