"2003 Colloquium on Differential Equations and Applications,
 Maracaibo, Venezuela.
Electronic Journal of Differential Equations,
Conference 13, 2005, pp. 89-94. 

Title: Optimization of discrete-discrete hybrid dynamical systems
       and its application to problem solving

Authors: Cecilia Nava de Villegas (Univ. de Los Andes, Merida, Venezuela)
         Ferenc Szigeti (Univ. de Los Andes, Merida, Venezuela)
 
Abstract: 
 A hybrid dynamical system has continuous dynamics,
 described by differential equations, which interact with a
 discrete event dynamics [4]. One of the simplest discrete
 dynamics appears in the delay of a dynamic system. Delays
 can change in discrete times by discrete dynamics. This kind of
 interactions can show very complicated behavior. Some of the
 changes of delay can be described by jumps. The jumps can have
 proper dynamics, or can be considered as control in the framework
 of control systems. Technology development, problem solving
 [2,3], and theorem proving have a common property: All new results
 became new tools for the development at the instant of their birth.
 That is, they become sources.

Published May 30, 2005.
Math Subject Classifications: 49N99.
Key Words: Discrete-discrete hybrid dynamical systems; problem solving;
           optimization.