Stability of One-Dimensional Spatially Invariant Arrays Perturbed by White Noise

Hui Fang, Panos Antsaklis

14th Mediterranean Conference on Control and Automation (MED’06)
Università Politecnica delle Marche, Ancona, Italy, June 28-30, 2006. 

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.

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