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Linear Automata Approximation Problem

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2 Author(s)
Paz, A. ; Department of System Science, University of California ; Rabinovitz, M.

The problem of approximating a linear automaton (LA) over the field of real numbers by an automaton over the field of rationals is considered. "Strong" and "weak" types of approximation are defined and investigated. Necessary and sufficient conditions for an automaton to be approximable are given. The strong approximation method enables rational computation in irrational linear systems which is suited for computer use.

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Computers, IEEE Transactions on  (Volume:C-23 ,  Issue: 3 )