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      Parameterization of suboptimal solutions of the Nehari problem for infinite-dimensional systems

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      Author(s)
      Kashima, K.
      Yamamoto, Y.
      Özbay, Hitay
      Date
      2007
      Source Title
      IEEE Transactions on Automatic Control
      Print ISSN
      0018-9286
      Electronic ISSN
      1558-2523
      Publisher
      Institute of Electrical and Electronics Engineers
      Volume
      52
      Issue
      12
      Pages
      2369 - 2374
      Language
      English
      Type
      Article
      Item Usage Stats
      130
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      96
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      Abstract
      The Nehari problem plays an important role in H∞ control theory. It is well known that H∞ control problem can be reduced to solving this problem. This note gives a parameterization of all suboptimal solutions of the Nehari problem for a class of infinite-dimensional systems. Many earlier solutions of this problem are seen to be special cases of this new parameterization. It is also shown that for finite impulse response systems this parameterization takes a particularly simple form.
      Keywords
      Delay systems
      H∞-control
      Infinite-dimensional systems
      Nehari problem
      Permalink
      http://hdl.handle.net/11693/23302
      Published Version (Please cite this version)
      http://doi.org/10.1109/TAC.2007.910725
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      • Department of Electrical and Electronics Engineering 3702
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