Publication:
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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