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Strong practical stability and stabilization of uncertain discrete linear repetitive processes

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    0391865 - ÚTIA 2014 RIV GB eng J - Journal Article
    Dabkowski, Pavel - Galkowski, K. - Bachelier, O. - Rogers, E. - Kummert, A. - Lam, J.
    Strong practical stability and stabilization of uncertain discrete linear repetitive processes.
    Numerical Linear Algebra with Applications. Roč. 20, č. 2 (2013), s. 220-233. ISSN 1070-5325. E-ISSN 1099-1506
    R&D Projects: GA MŠMT(CZ) 1M0567
    Institutional research plan: CEZ:AV0Z10750506
    Institutional support: RVO:67985556
    Keywords : strong practical stability * stabilization * uncertain discrete linear repetitive processes * linear matrix inequality
    Subject RIV: BC - Control Systems Theory
    Impact factor: 1.424, year: 2013
    http://onlinelibrary.wiley.com/doi/10.1002/nla.812/abstract

    Repetitive processes are a distinct class of 2D systems of both theoretical and practical interest. The stability theory for these processes originally consisted of two distinct concepts termed asymptotic stability and stability along the pass, respectively, where the former is a necessary condition for the latter. Recently applications have arisen where asymptotic stability is too weak, and stability along the pass is too strong for meaningful progress to be made. This, in turn, has led to the concept of strong practical stability for such cases, where previous work has formulated this property and obtained necessary and sufficient conditions for its existence together with Linear Matrix Inequality based tests, which then extend to allow robust control law design. This paper develops considerably simpler, and hence computationally more efficient, stability tests that also extend to allow control law design.
    Permanent Link: http://hdl.handle.net/11104/0220845

     
     
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