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Revista Colombiana de Matemáticas

Print version ISSN 0034-7426

Rev.colomb.mat. vol.52 no.1 Bogotá Jan./June 2018

https://doi.org/10.15446/recolma.v1n52.74555 

Original articles

A note on the controllability of linear first order systems with holomorphic initial functions in elliptic complex numbers

Una nota sobre la controlabilidad de Sistemas Lineales de Primer Orden con funciones iniciales holomorfas en los Complejos Elípticos

Luis Gerardo Mármol1  * 

Judith Vanegas2 

1 Universidad Simón Bolívar, Caracas - Venezuela

2 Universidad Simón Bolívar, Caracas - Venezuela


Abstract:

In this paper we characterize the constrained null-controllability of a large family of linear first order systems with holomorphic initial functions in a more general context of holomorphicity given by the elliptic complex numbers.

Keywords: Constrained null-controllability; Initial value problems; Elliptic complex numbers; Strongly continuous semigroups

Resumen:

En este trabajo se caracteriza la controlabilidad restringida en el origen para una familia grande de Sistemas Lineales de Primer Orden con funciones iniciales holomorfas, en un contexto más general de holomorficidad dado por los números complejos elípticos.

Palabras clave: Controlabilidad restringida en el origen; Problemas a Valor Inicial; Números Complejos Elípticos; Semigrupos Fuertemente Continuos

Text complete end PDF

References

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3. Bárcenas, D. and Mármol, L. G., On the adjoint of a strongly continuous semigroup, Abstract and Applied Analysis 18 (2008), article id 651294. [ Links ]

4. Curtain, R. F. and Zwart, H. J., An introduction to infinite-dimensional linear systems theory, Texts in Applied Mathematics 21, 1995, Springer-Verlag, New York - Berlin. [ Links ]

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Received: April 14, 2015; Accepted: July 22, 2015

*Correspondencia: Luis Gerardo Mármol, Departamento de Matemáticas Puras y Aplicadas, Universidad Simón Bolívar, Caracas 1080-A, Caracas - Venezuela. Correo electrónico: lgmarmol@usb.ve. DOI: https://doi.org/10.15446/recolma.v1n52.74555

Creative Commons License This is an open-access article distributed under the terms of the Creative Commons Attribution License