On the robust stability of 2D Schur polynomials

被引：1

作者：

Mastorakis, NE ^{[1
]}

机构：

[1] Hellen Naval Acad, Dept Comp Sci, Mil Inst Univ Educ, Dept Comp Sci, Piraeus, Greece

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2000年 / 106卷 / 02期

关键词：

multidimensional polynomial theory; robustness; Kharitonov theorem; stability; Schur polynomials; inverse Kharitonov problem; Rouche theorem;

D O I：

10.1023/A:1004615917160

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

In this note, the problem of the robust stability for a two-dimensional (two-variable) Schur polynomial which is the characteristic polynomial of a discrete-time linear time-invariant system is investigated. A new approach based on the Rouche theorem is adopted. The extension to the robust stability for multidimensional (multivariable) polynomials is also provided. Interesting sufficient conditions for such robust stability are derived. A two-dimensional example is included to support the theoretical result.

引用

页码：431 / 439

页数：9

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