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LMI conditions for robust stability of 2D linear discrete-time systems - MaRDI portal

LMI conditions for robust stability of 2D linear discrete-time systems (Q955922)

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scientific article; zbMATH DE number 5372458
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LMI conditions for robust stability of 2D linear discrete-time systems
scientific article; zbMATH DE number 5372458

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    LMI conditions for robust stability of 2D linear discrete-time systems (English)
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    24 November 2008
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    Summary: Robust stability conditions are derived for uncertain 2D linear discrete-time systems, described by Fornasini-Marchesini second models with polytopic uncertainty. Robust stability is guaranteed by the existence of a parameter-dependent Lyapunov function obtained from the feasibility of a set of linear matrix inequalities, formulated at the vertices of the uncertainty polytope. Several examples are presented to illustrate the results.
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    robust stability conditions
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    linear discrete-time systems
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    linear matrix inequalities
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