Nonlinear Interpolation Theory in H

  • Joseph A. Ball
  • Ciprian Foias
  • J. William Helton
  • Allen Tannenbaum
Part of the NATO ASI Series book series (volume 34)


Recently there has been an interesting cross-fertilisation between the areas of mathematical interpolation theory, operator theory and control theory which has led to new results in all areas. In particular the Sarason-Sz. Nagy Foias commutant lifting theorem provides a very broad framework for generalized Nevalinna-Pick interpolation which in turn gives a solution to the H-optimal weighted sensitivity problem in control theory. In this paper we give a generalization of this “commutant lifting theorem” for certain classes of nonlinear analytic operators and discuss some possible applications.


Hankel Operator Interpolation Theory Fading Memory Feedback Compensator Commutant Lift 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1987

Authors and Affiliations

  • Joseph A. Ball
    • 1
  • Ciprian Foias
    • 2
  • J. William Helton
    • 3
  • Allen Tannenbaum
    • 4
    • 5
  1. 1.Department of MathematicsVirginia Polytechnic InstituteBlacksburgUSA
  2. 2.Department of MathematicsIndiana UniversityBloomingtonUSA
  3. 3.Department of MathematicsUniversity of California at San DiegoLa JollaUSA
  4. 4.Department of Electrical EngineeringUniversity of MinnesotaMinneapolisUSA
  5. 5.Department of MathematicsBen-Gurion University of the NegevBeer ShevaIsrael

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