Robust Stability Analysis of Commensurate Fractional Order Interval Polynomials

被引：2

作者：

Kang, Hwan Il ^{[1
]}

Lee, Hyun Soo ^{[1
]}

Bae, Jong Woo ^{[1
]}

机构：

[1] Myongji Univ, Dept Informat Engn, Yongin 449728, Geong Gi Do, South Korea

来源：

2009 ISECS INTERNATIONAL COLLOQUIUM ON COMPUTING, COMMUNICATION, CONTROL, AND MANAGEMENT, VOL I | 2009年

关键词：

commensurate fractional order interval polynomial; robust stability; outer edge polynomials;

D O I：

10.1109/CCCM.2009.5268102

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

This paper deals with robust stability of commensurate fractional order interval polynomials. Tan et al. [2] obtain the robust stability result of fractional order interval polynomials. The result is that the fractional order interval polynomial is robustly stable if and only if all the exposed edge polynomials are robustly stable. In this paper, some simplification is presented for robust stability of the commensurate fractional order interval polynomials. That is, the commensurate fractional order interval polynomial is robustly stable if and only if all the outer edge polynomials are robustly stable. The problem of robust stability of commensurate fractional order interval polynomials can be changed to the problem about the zero exclusion principle for its value set.

引用

页码：384 / 387

页数：4

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