Article ID Journal Published Year Pages File Type
7109456 Automatica 2016 8 Pages PDF
Abstract
This paper is concerned with the robust stochastic stability analysis for two-dimensional (2-D) discrete state-multiplicative noisy systems (SMNSs) in the Roesser form. We first derive a new sufficient condition under which linear discrete 2-D SMNSs are 2-D robustly stochastically stable. The underlying problem can then be recast as a convex problem expressed by linear matrix inequalities, which can be facilitated using existing numerical algorithms. We then apply the obtained result to examine the 2-D robust stochastic stability for 2-D digital filters in the Roesser form with random coefficient variation and saturation overflow arithmetic based on free-weighting matrices and diagonally dominant matrices. An illustrative example is presented to verify the usefulness and potential of the proposed results.
Related Topics
Physical Sciences and Engineering Engineering Control and Systems Engineering
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