Feedback controls for uncertain systems

  • Jean-Pierre Aubin
  • Hélène Frankowska
Part of the Progress in Systems and Control Theory book series (PSCT, volume 10)


We derive partial differential inclusions of hyperbolic type the solutions of which are feedbacks governing the viable (controlled invariant) solutions of a control system. We also show that the tracking property leads to such partial differential inclusions. We prove a variational principle and an existence theorem of a (single-valued contingent) solution to such an inclusion.


Feedback Control Variational Principle Differential Inclusion Center Manifold Contingent Derivative 
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Copyright information

© Springer Science+Business Media New York 1991

Authors and Affiliations

  • Jean-Pierre Aubin
    • 1
  • Hélène Frankowska
    • 1
  1. 1.CEREMADE, Université Paris-DauphineParisFrance

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