On Exact Controllability and Convergence of Optimal Controls to Exact Controls of Parabolic Equations

  • Yanzhao Cao
  • Max Gunzburger
  • James Turner
Part of the Applied Optimization book series (APOP, volume 15)


The main result of this paper is the convergence of optimal controls to the exact controls of linear parabolic partial differential equations. The result is derived through a representation of the terminal state by a operator that is similar to the one used by Lions in Hilbert Uniqueness Method.


Optimal Control Problem Terminal State Exact Controllability Approximate Controllability Linear Parabolic Equation 
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Copyright information

© Springer Science+Business Media Dordrecht 1998

Authors and Affiliations

  • Yanzhao Cao
    • 1
  • Max Gunzburger
    • 2
  • James Turner
    • 1
  1. 1.Department of MathematicsFlorida A & M UniversityTallahasseeUSA
  2. 2.Department of MathematicsIowa State UniversityAmesUSA

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