Abstract
A lot of distributed systems have a transfer function which is rational in the variables s and e−θs. Effective procedures for their control are based on the factorization of the transfer function over various rings. The ring of quasipolynomials, i.e., polynomials in the variables s and e−θs, is the natural framework to study feedforward control. The ring of pseudopolynomials, i.e., entire functions which are rational in the variables s and e−θs, is the convenient concept for feedback control and stabilization, since it is a Bézout ring. A review of recent researches, making use of these algebraic tools, and leading to constructive algorithms, is done.
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