Feedback in Strictly Causal Systems
Eleftherios Matsikoudis, Edward A. Lee

Citation
Eleftherios Matsikoudis, Edward A. Lee. "Feedback in Strictly Causal Systems". Unpublished article, 2007.

Abstract
We ask whether strictly causal components form well defined systems when arranged in feedback configurations. The standard interpretation for such configurations induces a fixed-point constraint on the function modeling the component involved. We bring together ideas from the areas of set theory, order theory, and theory of generalized ultrametric spaces to establish the existence of a unique fixed point for any such function constructively, what has resisted more traditional approaches and has been a much coveted albeit elusive goal.

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• HTML

  Eleftherios Matsikoudis, Edward A. Lee. <a
  href="http://chess.eecs.berkeley.edu/pubs/255.html"
  ><i>Feedback in Strictly Causal
  Systems</i></a>, Unpublished article,  2007.

• Plain text

  Eleftherios Matsikoudis, Edward A. Lee. "Feedback in
  Strictly Causal Systems". Unpublished article,  2007.

• BibTeX

  @unpublished{MatsikoudisLee07_FeedbackInStrictlyCausalSystems,
      author = {Eleftherios Matsikoudis and Edward A. Lee},
      title = {Feedback in Strictly Causal Systems},
      year = {2007},
      abstract = {We ask whether strictly causal components form
                well defined systems when arranged in feedback
                configurations. The standard interpretation for
                such configurations induces a fixed-point
                constraint on the function modeling the component
                involved. We bring together ideas from the areas
                of set theory, order theory, and theory of
                generalized ultrametric spaces to establish the
                existence of a unique fixed point for any such
                function constructively, what has resisted more
                traditional approaches and has been a much coveted
                albeit elusive goal.},
      URL = {http://chess.eecs.berkeley.edu/pubs/255.html}
  }
  

Posted by Eleftherios Matsikoudis on 15 May 2007.
Groups: ptolemy
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