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Rank-one LMI approach to stability of 2-D polynomial matrices

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    0410545 - UTIA-B 20010014 RIV NL eng J - Journal Article
    Henrion, D. - Šebek, Michael - Bachelier, O.
    Rank-one LMI approach to stability of 2-D polynomial matrices.
    Multidimensional Systems and Signal Processing. Roč. 12, č. 1 (2001), s. 33-48. ISSN 0923-6082. E-ISSN 1573-0824
    R&D Projects: GA MŠMT 97/005-97/026; GA ČR GA102/99/1368; GA MŠMT VS97034
    Institutional research plan: AV0Z1075907
    Keywords : 2-D systems * polynomial matrix * stability
    Subject RIV: BC - Control Systems Theory
    Impact factor: 0.676, year: 2001

    New necessary and sufficient conditions are formulated for checking stability of a 2-D polynomial matrix. The conditions are expressed as a non-convex rank-one OMI problem derived from a formulation of the stability problem as a quadratic optimization problem. Sufficient stability conditions expressed as a convex LMI problem are readily derived from this formulation.
    Permanent Link: http://hdl.handle.net/11104/0130634

     
     

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