FREQUENCY-DOMAIN CRITERIA FOR ROBUST STABILITY OF BIVARIATE POLYNOMIALS

被引：10
|
作者：
POLYAK, BT
SHMULYIAN, SB
机构：
[1] WEIZMANN INST SCI,DEPT THEORET MATH,IL-76100 REHOVOT,ISRAEL
[2] WEIZMANN INST SCI,DEPT APPL MATH & COMP SCI,IL-76100 REHOVOT,ISRAEL
来源：
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS | 1994年 / 41卷 / 02期
关键词：
D O I：
10.1109/81.269052
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
The problem of robust strict-sense Hurwitz stability for bivariate polynomials is considered. A general criterion is formulated as zero exclusion principle. Main attempts are made to construct value set for a wide class of coefficients perturbations. Interval, disc and linear families for both continuous time and discrete time cases are studied. All conditions for robust stability are written in two-dimensional or one-dimensional frequency domain form. One of examples is a bivariate version of the Nyquist test.
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页码：161 / 167
页数：7
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