ON THE STABILITY OF QUASI-POLYNOMIALS WITH WEIGHTED DIAMOND COEFFICIENTS

被引：3
|
作者：
HOCHERMAN, J
KHARITONOV, VL
KOGAN, J
ZEHEB, E
机构：
[1] ST PETERSBURG STATE UNIV,DEPT APPL MATH & CONTROL THEORY,ST PETERSBURG 198904,RUSSIA
[2] UNIV MARYLAND,DEPT MATH & STAT,CATONSVILLE,MD 21228
来源：
MULTIDIMENSIONAL SYSTEMS AND SIGNAL PROCESSING | 1994年 / 5卷 / 04期
关键词：
D O I：
10.1007/BF00989280
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
In this paper we treat the problem of robust stability of families of time delay system with multiple interval delays and complex weighted diamond coefficients. We provide conditions on the weights under which a simple edge-type stability criterion is available. An application of Kharitonov-Zhabko results, which requires additional restrictions on the delays and leads to a significant reduction of computational burden associated with the stability criteria. In particular, an eight-extreme-point result is derived for diamond quasipolynomials with constant delays.
引用
收藏
页码：397 / 418
页数：22
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