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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 Unpublished article, 2007.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, Unpublished article,  2007.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 Unpublished article,  2007.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    @unpublished{MatsikoudisLee07_FeedbackInStrictlyCausalSystems,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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