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Stability of One-Dimensional Spatially Invariant Arrays Perturbed by White Noise Hui Fang and Panos J. Antsakls
 

Summary: Stability of One-Dimensional Spatially Invariant Arrays Perturbed by White Noise
Hui Fang and Panos J. Antsakls
Abstract
For the one-dimensional spatially invariant array, a neces-
sary 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 sta-
bility condition is converted to a finite dimensional linear
matrix inequality (LMI) problem, the solution of which is
easy to compute.
1. Introduction
Spatially invariant systems have been an active topic of
research in recent years [1], [2], [3], [4], [5], [10], [11],
[14]. Such systems are composed by similar units which di-
rectly interact with their neighbors. These systems arise in
many applications, such as the control of vehicle platoons
[8], airplane formation flight control [7], cross-directional
control in paper processing applications [6], and recent dis-
tributed control applications at a microscopic scale based

  

Source: Antsaklis, Panos - Department of Electrical Engineering, University of Notre Dame

 

Collections: Engineering