On the Notion of Observers

Abstract

By considering the idea and the notion of observers of dynamical systems, it is shown that relative semidynamical systems can be a suitable model for inserting an observer as a realistic fact to systems theory. Multi-dimensional observers and their affect on semidynamical systems are considered. Locally distinguishable semidynamical systems are introduced, and it is proved that this property preserves under relative conjugate relations which preserves observers. For an application of the role of observer relative topological entropy for relative semidynamical systems on compact relative topological spaces are considered.