Identification of Input-free Finite Lattice Dynamical Systems under Envelope Constraints
نویسندگان
چکیده
In this paper, we call finite dynamical system (FDS) a discrete time and finite range dynamical system. A FDS is called a finite lattice dynamical system (FLDS) when its transition function is defined on a finite lattice. Hence, the transition function of a FLDS is a lattice operator and can be represented by an union of sup-generating operators, characterized by the operator basis. The identification of a FLDS consists in the determination of the transition function basis from samples of the system dynamics. In this paper, we introduce the notion of dynamical envelope constraint (i.e., a lower and upper limit for the dynamics of the system to be identified) and show how to apply it to improve the precision of the identification.
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