Feedback theory for time-varying regular linear systems with input and state delays

نویسندگان

  • Said Hadd
  • Abdelaziz Rhandi
  • Roland Schnaubelt
چکیده

We show that the class of regular time varying systems is invariant under perturbations by time–varying state and input delays. In particular, we give explicit formulas of the resulting input, output, and input–output maps. This result is used to solve the feedback problem for the delayed system. The relationship between the open and the closed loop system is investigated. Our results are applied to a parabolic boundary control problem with input and state delays. S. Hadd, A. Rhandi, Department of Mathematics, University Cadi Ayyad, Faculty of Sciences, B.P.: 2390, 40000 Marrakesh, Morocco. email: [email protected], [email protected] R. Schnaubelt, Universität Halle, FB Mathematik und Informatik, 06099 Halle, Germany. email: [email protected] 2000 Mathematics Subject Classification. 34K30, 34K35, 47D06, 93C23, 93C25.

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عنوان ژورنال:
  • IMA J. Math. Control & Information

دوره 25  شماره 

صفحات  -

تاریخ انتشار 2008