DocumentCode
2642400
Title
LMI approach to robust stability of 2D filters with finite-word length
Author
Mahmoud, Magdi S.
Author_Institution
Dept. of Electr. & Comput. Eng., Kuwait Univ., Safat, Kuwait
fYear
1999
fDate
22-24 Nov. 1999
Firstpage
243
Lastpage
246
Abstract
In this paper, we investigate the problem of stability of a class of linear two-dimensional (2D) digital filters when implemented on finite word-length machines and subject to uncertain variations in the parameters. A necessary and sufficient robust stability condition is developed and expressed in terms of a system of linear matrix inequalities (LMIs). Two examples are presented to illustrate the developed theory.
Keywords
circuit stability; linear network analysis; matrix algebra; roundoff errors; two-dimensional digital filters; 2D filters; LMI approach; finite word-length machines; finite-word length; linear 2D digital filters; linear matrix inequalities; robust stability; robust stability condition; stability; Arithmetic; Digital filters; Finite wordlength effects; Linear matrix inequalities; Nonlinear filters; Nonlinear systems; Robust stability; Stability analysis; Symmetric matrices; Uncertainty;
fLanguage
English
Publisher
ieee
Conference_Titel
Microelectronics, 1999. ICM '99. The Eleventh International Conference on
Print_ISBN
0-7803-6643-3
Type
conf
DOI
10.1109/ICM.2000.884849
Filename
884849
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