Robust stability of polynomials: New approach

被引：8
作者：
Mastorakis, NE
机构：
[1] Department of Computer Science, Hellenic Naval Academy, Terma Hatzikyriakou, Piraeus
来源：
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 1997年 / 93卷 / 03期
关键词：
polynomial theory; robustness; Kharitonov theorem; stability; Hurwitz polynomials; inverse Kharitonov problem; Rouche theorem;
D O I：
10.1023/A:1022603415620
中图分类号：
C93 [管理学]; O22 [运筹学];
学科分类号：
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要：
The problem of the robust stability of a Hurwitz polynomial which is the characteristic polynomial of a discrete-time linear time-invariant system is investigated. A new approach based on the Rouche theorem of classical complex analysis is adopted. An interesting sufficient condition for robust stability is derived. Three examples are included to support the theoretical result.
引用
收藏
页码：635 / 638
页数：4
相关论文
共 7 条
[1]  
CARATHEODORY C, 1964, THEORY FUNCTIONS COM
[2]   AN ALTERNATIVE PROOF OF KHARITONOV THEOREM [J].
CHAPELLAT, H ;
BHATTACHARYYA, SP .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1989, 34 (04) :448-450
[3]  
Kharitonov V. L., 1979, Dif. Urav., V14, P1483
[4]  
Luenberger D., 1974, Introduction to Linear and Nonlinear Programming
[5]   AN ELEMENTARY PROOF OF KHARITONOV STABILITY THEOREM WITH EXTENSIONS [J].
MINNICHELLI, RJ ;
ANAGNOST, JJ ;
DESOER, CA .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1989, 34 (09) :995-998
[6]   A DUAL RESULT TO KHARITONOV THEOREM [J].
TEMPO, R .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1990, 35 (02) :195-198
[7]   EXPANSION OF DET(A+B) AND ROBUSTNESS ANALYSIS OF UNCERTAIN STATE-SPACE SYSTEMS [J].
XU, SJ ;
DAROUACH, M ;
SCHAEFERS, J .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1993, 38 (11) :1671-1675
1