Dynamical Systems

The aim of this chapter is to show how the approaches and methods presented in the previous chapters may be applied to discrete-time dynamical plants described by traditional functional models or by relational knowledge representations. Special attention is paid to the relational plants and the descriptions based on uncertain variables [22, 54]. The considerations are completed with the optimization of a random and uncertain multistage decision process (dynamic programming under uncertainty) and with applications to a class of assembly systems. Other considerations for dynamical systems are presented in Chapter 9 (uncertain, random and fuzzy controllers in closed-loop systems), in Chapter 10 (stability) and in Chapter 11 (dynamical learning systems).