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
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;
Conference_Titel :
Microelectronics, 1999. ICM '99. The Eleventh International Conference on
Print_ISBN :
0-7803-6643-3
DOI :
10.1109/ICM.2000.884849
