Axiomatization, Computability and Stability for Discrete Event Time Algorithms



Título del documento: Axiomatization, Computability and Stability for Discrete Event Time Algorithms
Revista: Computación y sistemas
Base de datos:
Número de sistema: 000560558
ISSN: 1405-5546
Autores: 1
Instituciones: 1Instituto Politécnico Nacional, Centro de Investigación en Computación, México
Año:
Periodo: Oct-Dic
Volumen: 24
Número: 4
Paginación: 1561-1569
País: México
Idioma: Inglés
Resumen en inglés This work proposes a formalization of discrete event time algorithms. A Church type thesis, its proof, and the notion of stability for discrete event time algorithms are presented. The Church thesis for discrete algorithms motivates us to consider the Church thesis for the case when we are dealing with discrete event time algorithms. The notions of discrete event time algorithm and discrete event time dynamical system are postulated to be equivalent. The stability concept for discrete event time algorithms is defined. The stability analysis presentation starts concentrating in discrete event time algorithms, i.e., discrete event time dynamical systems, whose Petri net model is described by difference equations, and continues considering Lyapunov energy functions in terms of the logical structures of the vocabulary. A stability analysis based on the reachability tree of the Petri net model is also discussed.
Keyword: Discrete event time algorithms,
Discrete event time dynamical systems,
Church thesis,
Petri nets,
Stability
Texto completo: Texto completo (Ver HTML) Texto completo (Ver PDF)