Publication:
Teoria de control para sistemas dinámicos monomiales sobre cuerpos finitos
Teoria de control para sistemas dinámicos monomiales sobre cuerpos finitos
dc.contributor.advisor | Colón-Reyes, Omar | |
dc.contributor.author | Aragones-Geney, Ernes Ch. | |
dc.contributor.college | College of Arts and Sciences - Sciences | en_US |
dc.contributor.committee | Bollman, Dorothy | |
dc.contributor.committee | Castellini, Gabriele | |
dc.contributor.department | Department of Mathematics | en_US |
dc.contributor.representative | Papadopoulos, Christopher | |
dc.date.accessioned | 2018-05-16T17:26:01Z | |
dc.date.available | 2018-05-16T17:26:01Z | |
dc.date.issued | 2010-12 | |
dc.description.abstract | Monomical dynamical systems over finite fields have been studied in several contexts, including engineering and mathematical biology. Criteria for determining when a system described by monomials over finite fields, is a fixed point have already been determined. In this paper develop criteria for stability in monomial control dynamical systems over finite fields, ƒ : F_q^n × F_q^m → F_q^n , where q is a Carmichael prime. For this we introduce the concept weakly stabilizable using the triangular systems of fixed point. | |
dc.description.abstract | Definiremos el concepto débilmente estabilizable en los sistemas dinámico de control monomial ƒ : F_q^n × F_q^m → F_q^n . Haciendo uso de los sistemas dinámicos triángulares de punto fijo determinaremos condiciones suficientes y necesaria para que un sistema de control monomial sobre un cuerpo finito Fq, donde q es un primo de Carmichael sea estabilizable. | |
dc.description.graduationSemester | Fall | en_US |
dc.description.graduationYear | 2010 | en_US |
dc.identifier.uri | https://hdl.handle.net/20.500.11801/661 | |
dc.language.iso | es | en_US |
dc.rights.holder | (c)2010 Ernes Ch. Aragones Geney | en_US |
dc.rights.license | All rights reserved | en_US |
dc.subject | Monomial dynamics | en_US |
dc.subject | Finite fields | en_US |
dc.subject | Triangular systems | en_US |
dc.subject.lcsh | Dynamics | en_US |
dc.subject.lcsh | Finite fields (Algebra) | en_US |
dc.subject.lcsh | Fixed point theory | en_US |
dc.subject.lcsh | Control theory | en_US |
dc.subject.lcsh | Number theory | en_US |
dc.subject.lcsh | Fermat numbers | en_US |
dc.title | Teoria de control para sistemas dinámicos monomiales sobre cuerpos finitos | en_US |
dc.title.alternative | A control theory for monomial dynamic systems over finite fields | en_US |
dc.type | Thesis | en_US |
dspace.entity.type | Publication | |
thesis.degree.discipline | Pure Mathematics | en_US |
thesis.degree.level | M.S. | en_US |
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