Abstract
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 \(z\) on \(\{z\in \mathbb{C }: |z| > 1 \}\) 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).
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Acknowledgments
This research is supported in part by the Universidad de Antioquia under SUI Project The integrable systems and the infinite-dimensional control theory (Acta No. 10109). The second author was supported under CONACYT grant \(106923\).
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Communicated by José Eduardo Souza de Cursi.
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López Reyes, N., Felipe, R. & Castro Polo, T. The discrete KP hierarchy and the negative power series on the complex plane. Comp. Appl. Math. 32, 483–493 (2013). https://doi.org/10.1007/s40314-013-0031-9
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DOI: https://doi.org/10.1007/s40314-013-0031-9