Title :
Stability of One-Dimensional Spatially Invariant Arrays Perturbed by White Noise
Author :
Fang, Hui ; Antsakls, Panos J.
Author_Institution :
Dept. of Electr. Eng., Notre Dame Univ., IN
Abstract :
For the one-dimensional spatially invariant array, a necessary and sufficient stability condition in terms of the Schur stability of a matrix over spatial frequency is obtained in this paper Then based on the theorem on nonnegative pseudo-polynomial matrices, the frequency-dependent stability condition is converted to a finite dimensional linear matrix inequality (LMI) problem, the solution of which is easy to compute
Keywords :
linear matrix inequalities; multidimensional systems; polynomial matrices; stability; white noise; Schur stability; finite dimensional linear matrix inequality problem; frequency-dependent stability condition; nonnegative pseudopolynomial matrix; one-dimensional spatially invariant array; white noise; Centralized control; Control system synthesis; Control systems; Distributed control; Frequency conversion; Linear matrix inequalities; Matrix converters; Stability; Sufficient conditions; White noise;
Conference_Titel :
Control and Automation, 2006. MED '06. 14th Mediterranean Conference on
Conference_Location :
Ancona
Print_ISBN :
0-9786720-1-1
Electronic_ISBN :
0-9786720-0-3
DOI :
10.1109/MED.2006.328831
