This article is cited in 2 papers

Robust, Adaptive and Network Control

Robust D-decomposition for a polynomial dependence of the coefficients of a polynomial on two parameters

P. F. Pryashnikova

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

Abstract: A method for constructing the interval stability set of a polynomial with interval coefficients polynomially depending on two parameters is proposed. The method is based on approximating the interval stability set with a given accuracy by a union of rectangles and does not require analyzing and constructing the boundaries of the D-decomposition. The convergence of the method is proved. The efficiency of the method is illustrated by examples.

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

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

Received: 15.08.2021
Revised: 29.01.2022
Accepted: 31.03.2022

DOI: 10.31857/S0005231022070054

 English version: Automation and Remote Control, 2022, 83:7, 1078–1092

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