Abstract
State space is a powerful tool which gives a global and synthetic view of the possible evolutions of a dynamical system. It is also a main source for available information about the stability and the complexity of the system dynamics. In describing dynamical systems via space state, it is possible to condensate a large amount of information about the qualitative behavior of the system. In particular, given an initial condition, it is possible to know the evolution of the system. But managing state space is not an easy work, especially when dealing with nonlinear systems. For practical applications it is possible to associate to a dynamical system an automaton that describes the evolution of the system. This is a very general property by which a simpler discrete description of the dynamical system becomes possible. This discrete description, adequately instantiated, can suggest the strategy for grasping essential system information. This is essential in designing automation control systems. A simple example is reported.
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