Consistent Dynamical System Observers for Nondeterministic Event Modeling

. This paper describes an approach for constructing consistent observers for dynamical systems based on a formalism of Nondeterministic Event Modeling (NEM). The first part of this paper establishes the definitions of NEM with a main focus on the notion of entropy that is extended for measuring the amount of information from nondeterministic events. The paper demonstrates the importance of the proposed entropy measure in contrast to the classical uncertainty measure when used in dynamical systems. The importance of the information measure stems from a potential failure of the classical uncertainty when observing nondeterministic events. Similar behavior, which we describe as unobservable states, is often seen in dynamical systems when the uncertainty measure is used in conjunction with some arbitrary decision process. Based on well-defined dynamical system concepts, the second part of the paper formulates the notion of Consistent Observer that integrates the NEM formalism. In the propo..