Response Feedback Stabilization of Linear Hereditary Systems

  • James A. Reneke
  • Robert E. Fennell
Conference paper
Part of the Lecture Notes in Control and Information Sciences book series (LNCIS, volume 83)


The problem of response feedback stabilization of a class of linear hereditary systems is discussed in a reproducing kernel Hilbert space setting. For each system a stabilizing feedback operator is given explicitly in terms of the RKH-space operators defining the system. The decay rate of the response of a stabilized system is related to parameters in the feedback operator.


Feedback Operator Time Invariant System State Space Representation Compact Subinterval Hereditary System 
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Copyright information

© Springer Science+Business Media Dordrecht 1986

Authors and Affiliations

  • James A. Reneke
    • 1
  • Robert E. Fennell
    • 1
  1. 1.Department of Mathematical SciencesClemson UniversityClemsonUSA

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