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

Luis Gerardo Mármol; Judith Vanegas

doi:10.15446/recolma.v1n52.74555

Published

2018-01-01

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

DOI:

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

Keywords:

Constrained null-controllability, Initial value problems, Elliptic complex numbers, Strongly continuous semigroups (en)
Controlabilidad restringida en el origen, Problemas a Valor Inicial, Números Complejos Elípticos, Semigrupos Fuertemente Continuos (es)

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Authors

Luis Gerardo Mármol Universidad Simón Bolívar
Judith Vanegas Universidad Simón Bolívar

Abstract (en)
Abstract (es)

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.

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.

References

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D. Bárcenas and L. G. Mármol, On the adjoint of a strongly continuous

semigroup, Abstract and Applied Analysis 18 (2008), article id 651294.

R. F. Curtain and H. J. Zwart, An introduction to infinite-dimensional

linear systems theory, Texts in Applied Mathematics 21, 1995, Springer-

Verlag, New York - Berlin.

J. Diestel, Grothendieck spaces and vector measures, contained in Vector and operator valued measures and applications, Proc. Sympos. Alta Utah (1972), 97{108, Academic Press, New York, USA, 1973.

L. H. Son and W. Tutschke, First Order differential operators associated to the Cauchy-Riemann equations in the plane, Complex Variables and Elliptic Equations 48 (2003), no. 9, 797-801.

F. Treves, Basic linear partial differential equations, New York / San Francisco London, 1975.

How to Cite

APA

Mármol, L. G. and Vanegas, J. (2018). A note on the controllability of linear first order systems with holomorphic initial functions in elliptic complex numbers. Revista Colombiana de Matemáticas, 52(1), 59–64. https://doi.org/10.15446/recolma.v1n52.74555

ACM

[1]

Mármol, L.G. and Vanegas, J. 2018. A note on the controllability of linear first order systems with holomorphic initial functions in elliptic complex numbers. Revista Colombiana de Matemáticas. 52, 1 (Jan. 2018), 59–64. DOI:https://doi.org/10.15446/recolma.v1n52.74555.

ACS

(1)

Mármol, L. G.; Vanegas, J. A note on the controllability of linear first order systems with holomorphic initial functions in elliptic complex numbers. rev.colomb.mat 2018, 52, 59-64.

ABNT

MÁRMOL, L. G.; VANEGAS, J. A note on the controllability of linear first order systems with holomorphic initial functions in elliptic complex numbers. Revista Colombiana de Matemáticas, [S. l.], v. 52, n. 1, p. 59–64, 2018. DOI: 10.15446/recolma.v1n52.74555. Disponível em: https://revistas.unal.edu.co/index.php/recolma/article/view/74555. Acesso em: 22 jan. 2025.

Chicago

Mármol, Luis Gerardo, and Judith Vanegas. 2018. “A note on the controllability of linear first order systems with holomorphic initial functions in elliptic complex numbers”. Revista Colombiana De Matemáticas 52 (1):59-64. https://doi.org/10.15446/recolma.v1n52.74555.

Harvard

Mármol, L. G. and Vanegas, J. (2018) “A note on the controllability of linear first order systems with holomorphic initial functions in elliptic complex numbers”, Revista Colombiana de Matemáticas, 52(1), pp. 59–64. doi: 10.15446/recolma.v1n52.74555.

IEEE

[1]

L. G. Mármol and J. Vanegas, “A note on the controllability of linear first order systems with holomorphic initial functions in elliptic complex numbers”, rev.colomb.mat, vol. 52, no. 1, pp. 59–64, Jan. 2018.

MLA

Mármol, L. G., and J. Vanegas. “A note on the controllability of linear first order systems with holomorphic initial functions in elliptic complex numbers”. Revista Colombiana de Matemáticas, vol. 52, no. 1, Jan. 2018, pp. 59-64, doi:10.15446/recolma.v1n52.74555.

Turabian

Mármol, Luis Gerardo, and Judith Vanegas. “A note on the controllability of linear first order systems with holomorphic initial functions in elliptic complex numbers”. Revista Colombiana de Matemáticas 52, no. 1 (January 1, 2018): 59–64. Accessed January 22, 2025. https://revistas.unal.edu.co/index.php/recolma/article/view/74555.

Vancouver

1.

Mármol LG, Vanegas J. A note on the controllability of linear first order systems with holomorphic initial functions in elliptic complex numbers. rev.colomb.mat [Internet]. 2018 Jan. 1 [cited 2025 Jan. 22];52(1):59-64. Available from: https://revistas.unal.edu.co/index.php/recolma/article/view/74555