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JOURNALS // Zhurnal Srednevolzhskogo Matematicheskogo Obshchestva // Archive

Zhurnal SVMO, 2014, Volume 16, Number 2, Pages 114–117 (Mi svmo486)

Short Communications

The investigation of robust behavior interval polynoms

V. I. Zubov, I. V. Zubov, A. F. Zubova

St. Petersburg State University, Faculty of Applied Mathematics and Control Processes

Abstract: In this article with help new definition, the unit radius with center in zero is divides polynom on number roots outside and inside circle, is summarizes principle of exception zero for investigation robust behavior of families discreet polynomials. In partial case, for discreet interval polynomials is results graphic criteria they is belong to classes $(n,k)$ - equivalent discreet polynomials. Is discusses the employing this method for another families polynomials.

Keywords: interval polynomials, Mikhailov criterion, hodograph.

UDC: 517.929

Received: 25.07.2014



© Steklov Math. Inst. of RAS, 2024