This article is cited in 2 papers

Linear Systems

D-decomposition in the case of polynomial dependence of the coefficients of a polynomial on two parameters

P. F. Pryashnikova

Sevastopol Branch, Lomonosov Moscow State University, Sevastopol, 299001 Russia

Abstract: We propose a method for constructing the stability domains of a polynomial whose coefficients depend polynomially on two real parameters. The method is based on an approximation of the D-decomposition domains by a set of rectangles on each of which the number of zeros of the polynomial in the left half-plane is constant.

Keywords: polynomial, stability, D-decomposition, polynomial dependence.

Presented by the member of Editorial Board: P. S. Shcherbakov

Received: 11.08.2017
Revised: 10.06.2020
Accepted: 09.07.2020

DOI: 10.31857/S0005231021030028

 English version: Automation and Remote Control, 2021, 82:3, 398–409

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