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A Test for the Stability of Networks

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Rowinska-Schwarzweller A., Schwarzweller C.

Formalized Mathematics

2013

tom 21

nr 1

47-53

A complex polynomial is called a Hurwitz polynomial, if all its roots have a real part smaller than zero. This kind of polynomial plays an all-dominant role in stability checks of electrical (analog or digital) networks. In this article we prove that a polynomial p can be shown to be Hurwitz by checking whether the rational function e(p)/o(p) can be realized as a reactance of one port, that is as an electrical impedance or admittance consisting of inductors and capacitors. Here e(p) and o(p) denote the even and the odd part of p [25].

Ograniczanie wyników

1 Formalized Mathematics

1 Rowinska-Schwarzweller A.

1 Schwarzweller C.

1 2013

Wyniki wyszukiwania

A Test for the Stability of Networks