Please use this identifier to cite or link to this item: http://buratest.brunel.ac.uk/handle/2438/3143
Title: Robust stability of two-dimensional uncertain discrete systems
Authors: Wang, Z
Liu, X
Keywords: Linear matrix inequalities;overflow nonlinearities;parameter uncertainty; robust stability;two-dimensional discrete-time
Issue Date: 2003
Publisher: IEEE
Citation: IEEE Signal Processing Letters. 10 (5) 133 - 136
Abstract: In this letter, We deal with the robust stability problem for linear two-dimensional (2-D) discrete time-invariant systems described by a 2-D local state-space (LSS) Fornasini-Marchesini (1989) second model. The class of systems under investigation involves parameter uncertainties that are assumed to be norm-bounded. We first focus on deriving the sufficient conditions under which the uncertain 2-D systems keep robustly asymptotically stable for all admissible parameter uncertainties. It is shown that the problem addressed can be recast to a convex optimization one characterized by linear matrix inequalities (LMIs), and therefore a numerically attractive LMI approach can be exploited to test the robust stability of the uncertain discrete-time 2-D systems. We further apply the obtained results to study the robust stability of perturbed 2-D digital filters with overflow nonlinearities.
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URI: http://bura.brunel.ac.uk/handle/2438/3143
ISSN: 1070-9908
Appears in Collections:Computer Science
Dept of Computer Science Research Papers

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