DocumentCode
2830288
Title
Stability of a real polynomial set with coefficients in a weighted L p domain
Author
Soh, C.B.
Author_Institution
Sch. of Electr. & Electron. Eng., Nanyang Technol. Inst., Singapore
fYear
1991
fDate
11-14 Jun 1991
Firstpage
1097
Abstract
N.K. Bose and K.D. Kim (1989) attempted to show that the strict Hurwitz property of a family of polynomials having real coefficients in a L p domain for a fixed integer p ∈(1, ∞) only requires the checking of eight combinations of fixed polynomials to be strictly Hurwitz. While the main result for p =1 is correct, the generalization to p >1 is incorrect. New necessary and sufficient conditions for the stability of a real polynomial set with coefficients in a weighted L p domain for a fixed real p ∈(0, ∞) are derived. The results of Kharitonov are obtained as a special case of p =∞
Keywords
polynomials; stability; Kharitonov results; real polynomial set; stability; strict Hurwitz property; weighted Lp domain; Constraint optimization; Equations; Polynomials; Stability; Sufficient conditions;
fLanguage
English
Publisher
ieee
Conference_Titel
Circuits and Systems, 1991., IEEE International Sympoisum on
Print_ISBN
0-7803-0050-5
Type
conf
DOI
10.1109/ISCAS.1991.176557
Filename
176557
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