Regular synthesis and singular extremals

  • P. Brunovský
Optimal Control: Ordinary And Delay Differential Equations
Part of the Lecture Notes in Control and Information Sciences book series (LNCIS, volume 22)


Optimal Control Problem Target Point Optimal Feedback Control Domain Extremal Control 
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.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    V. G. Boltanski: Sufficient conditions of optimality and the justification of the method of dynamic programming, Izvestia Akademii Nauk SSSR 28, 1968, 481–514Google Scholar
  2. 2.
    V. G. Boltanski: Mathematical methods of optimal control, Nauka, Moskva 1969Google Scholar
  3. 3.
    P. Brunovský: Every normal linear system has a linear time-optimal synthesis, Math. Slovaca 28, 1978, 81–100Google Scholar
  4. 4.
    P. Brunovský: On the structure of optimal feedback systems, Proceedings of the ICM 1978, to appearGoogle Scholar
  5. 5.
    P. Brunovský: Existence of regular synthesis for general control problems, Journal of Diff. Equations, to appearGoogle Scholar
  6. 6.
    P. Brunovský: Regular synthesis for the linear-quadratic optimal control problem with linear control constraints, to appearGoogle Scholar
  7. 7.
    T. G. Hack: Extensions of the concept of regular synthesis as a sufficient conditio of optimality, SIAM J. Control 11, 1973, 358–373Google Scholar
  8. 8.
    R. M. Hardt: Stratifications of real analytic mappings and images, Inventiones Math 28, 1975, 193–208Google Scholar
  9. 9.
    H. Hironaka: Introduction aux ensembles sous-analytiques, Asterisque 7–8, 1973, 13–20Google Scholar
  10. 10.
    H. J. Sussmann: A bang-bang theorem with bounds on the number of switchings, to appearGoogle Scholar
  11. 11.
    H. J. Sussmann: Analytic stratifications and control theory, Proceedings of the ICM 1978, to appearGoogle Scholar
  12. 12.
    H. J. Sussmann: Piecewise analyticity of optimal cost functions and optimal feedback, Proceedings of the 1979 Joint Automatic Control Conference, to appearGoogle Scholar

Copyright information

© Springer-Verlag 1980

Authors and Affiliations

  • P. Brunovský
    • 1
  1. 1.Institute of Applied MathematicsComenius UniversityBratislavaCzechoslovakia

Personalised recommendations