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D-Decomposition in the Case of Polynomial Dependence of the Coefficients of a Polynomial on Two Parameters
Automation and Remote Control ( IF 0.6 ) Pub Date : 2021-03-21 , DOI: 10.1134/s0005117921030024 P. F. Pryashnikova
中文翻译:
多项式与两个参数的多项式相关的情况下的D分解
更新日期:2021-03-22
Automation and Remote Control ( IF 0.6 ) Pub Date : 2021-03-21 , DOI: 10.1134/s0005117921030024 P. F. Pryashnikova
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.
中文翻译:
多项式与两个参数的多项式相关的情况下的D分解
摘要
我们提出了一种构造多项式稳定域的方法,该多项式的系数多项式取决于两个实参。该方法基于一组矩形的D分解域的近似值,在每个矩形上,左半平面中多项式的零个数是恒定的。