Schur's Theorem on the Stability of Networks

• Autorzy: Christoph Schwarzweller , Agnieszka Rowińska-Schwarzweller
• Języki publikacji: EN

Abstrakty

EN

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 networks.In this article we prove Schur's criterion [17] that allows to decide whether a polynomial p(x) is Hurwitz without explicitly computing its roots: Schur's recursive algorithm successively constructs polynomials pi(x) of lesser degree by division with x - c, ℜ {c} < 0, such that pi(x) is Hurwitz if and only if p(x) is.

• Wydawca: De Gruyter Open
• Czasopismo: Formalized Mathematics
• Rocznik: 2006
• Tom: 14
• Numer: 4
• Strony: 135-142

Daty

wydano

2006-01-01

online

2008-06-13

Twórcy

autor

Christoph Schwarzweller

• Institute of Computer Science, University of Gdańsk, Wita Stwosza 57, 80-952 Gdańsk, Poland

autor

Agnieszka Rowińska-Schwarzweller

• Chair of Display Technology, University of Stuttgart, Allmandring 3b, 70569 Stuttgart, Germany

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Identyfikatory

DOI

10.2478/v10037-006-0017-9