Teoria de control para sistemas dinámicos monomiales sobre cuerpos finitos

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.

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.