Annali di Matematica Pura ed Applicata

, Volume 163, Issue 1, pp 93–131 | Cite as

On the direct solution of Riccati equations arising in boundary control theory

  • Franco Flandoli
Article
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Abstract

Two classes of Riccati equations arising in the boundary control of parabolic systems are studied by direct methods. The new feature with respect to previous works on this subject is the low regularity of the final data. The classes considered here generalize those of [7]and [5]on one side, and of [14]on the other one. Completely new methods are used to obtain the solution of the Riccati equations, in both cases. The central theme is the dependence of the solutions on a «symmetric» norm of the final data, yielding these new results as well as a new proof of existence for the related algebraic Riccati equation under more general assumptions. The synthesis of the associated linear-quadratic-regulator problems is easily solved using these results.

Keywords

Control Theory Final Data Riccati Equation General Assumption Central Theme 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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Copyright information

© Fondazione Annali di Matematica Pura ed Applicata 1993

Authors and Affiliations

  • Franco Flandoli
    • 1
  1. 1.Scuola Normale SuperiorePisa

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