On the Robust Stability of 2D Schur Polynomials

被引：0
|
作者：
N. E. Mastorakis
机构：
[1] Hellenic Naval Academy,Department of Computer Science
[2] Military Institutions of University Education,undefined
[3] Terma Hatzikyriakou,undefined
来源：
Journal of Optimization Theory and Applications | 2000年 / 106卷
关键词：
multidimensional polynomial theory; robustness; Kharitonov theorem; stability; Schur polynomials; inverse Kharitonov problem; Rouché theorem;
D O I：
暂无
中图分类号：
学科分类号：
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 Rouché 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.
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页码：431 / 439
页数：8
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