NECESSARY AND SUFFICIENT CONDITIONS FOR ROBUST STABILITY OF A CONTINUOUS SYSTEM - THE CONTINUOUS DEPENDENCY CASE ILLUSTRATED VIA MULTILINEAR DEPENDENCY

被引：30
作者：
ZEHEB, E
机构：
[1] Department of Electrical Engineering, Technion-Israel Institute of Technology
来源：
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS | 1990年 / 37卷 / 01期
关键词：
D O I：
10.1109/31.45690
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：
Let P(s, p1, …, pm) =[formulla omitted] where ai= fi(p1,…, pm), i: = 0,1, …, n and fi i = 0, …, n, are continuous functions. Necessary and sufficient conditions are reformulated and proved for P(s, p1,…, pm) ≠ 0 in ReS⩾0, ∀p1,(i =1,…, m) such that [formulla omitted] where [formulla omitted] are given real numbers. More explicit necessary and sufficient conditions are derived for the special case where fi are affine multilinear functions and m = 2. © 1990 IEEE
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页码：47 / 53
页数：7
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