Representation of discrete time LTI/LTV systems using general fuzzy automata

This paper shows that there is a close relationship between two different kinds of dynamic system representations. On the one hand, state-space realizations are often used in system theory to represent the dynamics of the system and specify the relations among states of a system and time. On the other hand, in language and automata theory and many other computer science related problems, automata and discrete event representation is used to clearly describe event-driven system dynamics. There are also many evidences that show how these two representations are closely related and can be used interchangeably. One of the subjects in which this close relationship can clearly be seen is discretization of continuous time systems. In this paper these two representations will be studied for their similarities and a new perspective will be given.