The discrete KP hierarchy and the negative power series on the complex plane

In this article, we have connected the control theory of linear infinite-dimensional systems and the discrete KP integrable system. We show how the space of negative power series of on can be parametrized by means of an integrable system. This study is a kind of extension to infinite-dimensional cas...

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Bibliographic Details
Published in:Computational and Applied Mathematics 2013-10, Vol.32 (3), p.483-493
Main Authors: López Reyes, Nancy, Felipe, Raúl, Castro Polo, Tovias
Format: Article
Language:English
Subjects:
Applications of Mathematics
Computational Mathematics and Numerical Analysis
Mathematical Applications in Computer Science
Mathematical Applications in the Physical Sciences
Mathematics
Mathematics and Statistics
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Summary:In this article, we have connected the control theory of linear infinite-dimensional systems and the discrete KP integrable system. We show how the space of negative power series of on can be parametrized by means of an integrable system. This study is a kind of extension to infinite-dimensional case of some results discussed in Felipe and López-Reyes (Discret Dyn Nat Soc 2008, 2008 ).
ISSN:0101-8205
1807-0302
DOI:10.1007/s40314-013-0031-9