Resonance of fractional transfer functions of the second kind
نویسندگان
چکیده
where (ai, bj) ∈ R, ν is the commensurable differentiation order,mB and mA are respectively numerator and denominator degrees, with mA > mB for strictly causal systems. Stability of fractional differentiation systems is addressed in the following theorem. Theorem 1.1. (Stability Matignon (1998)). A commensurable transfer function with a commensurable order ν, as in (4), with T and R two coprime polynomials, is stable if and only if (iff) 0 < ν < 2 and ∀p ∈ C such as R(p) = 0, | arg(p)| > ν π2 .
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