On the solution of optimal control problems involving parameters and general boundary conditions

Jaroslav Doležal

Kybernetika (1981)

  • Volume: 17, Issue: 1, page 71-81
  • ISSN: 0023-5954

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Doležal, Jaroslav. "On the solution of optimal control problems involving parameters and general boundary conditions." Kybernetika 17.1 (1981): 71-81. <http://eudml.org/doc/27530>.

@article{Doležal1981,
author = {Doležal, Jaroslav},
journal = {Kybernetika},
keywords = {quasilinearization algorithm},
language = {eng},
number = {1},
pages = {71-81},
publisher = {Institute of Information Theory and Automation AS CR},
title = {On the solution of optimal control problems involving parameters and general boundary conditions},
url = {http://eudml.org/doc/27530},
volume = {17},
year = {1981},
}

TY - JOUR
AU - Doležal, Jaroslav
TI - On the solution of optimal control problems involving parameters and general boundary conditions
JO - Kybernetika
PY - 1981
PB - Institute of Information Theory and Automation AS CR
VL - 17
IS - 1
SP - 71
EP - 81
LA - eng
KW - quasilinearization algorithm
UR - http://eudml.org/doc/27530
ER -

References

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  1. V. A. Trojckij, Variational problems of optimization of control processes, Prikladnaja matematika i mechanika 26 (1962), 1, 29-38. In Russian. (1962) MR0143677
  2. L. T. Fan C. S. Wang, The Discrete Maximum Principle, Wiley, New York 1966. (1966) MR0195614
  3. S. Gonzales A. Miele, Sequential Gradient-Restoration Algorithm for Optimal Control Problems with General Boundary Conditions, Aero-Astronautics Report No. 142, Rice University, Houston 1978. (1978) 
  4. S. Gonzales A. Miele, Sequential Gradient-Restoration Algorithm for Optimal Control Problems with Nondifferential Constraints and General Boundary Conditions, Aero-Astronautics Report No. 143, Rice University, Houston 1978. (1978) 
  5. S. Gonzales A. Miele, Sequential gradient-restoration algorithm for optimal control problems with general boundary conditions, J. Optimization Theory and Appl. 26 (1978), 3, 395-425. (1978) MR0524638
  6. J. Fidler J. Doležal, On the Solution of Optimal Control Problems with General Boundary Conditions, Research Report No. 956, Institute of Information Theory and Automation, Prague 1979. In Czech. (1979) 
  7. J. Doležal P. Černý, The application of optimal control methods to the determination of multifunctional catalysts, 23rd CHISA Conference, Mariánské Lázně 1976. See also: Automatizace 21 (1978), 1,3-8. In Czech. (1976) 
  8. A. Miele R. R. Iyer, Modified quasilinearization method for solving nonlinear, two-point boundary-value problems, J. Optimization Theory Appl. 5, (1970), 5, 382-399. (1970) MR0266441
  9. J. Doležal, Modified quasilinearization method for the solution of implicite nonlinear two-point boundary-value problems for difference systems, The 5th Symposium on Algorithms "ALGORITHMS' 79", Vysoké Tatry 1979, 259-271. In Czech. (1979) 
  10. J. Doležal J. Fidler, On the numerical solution of implicite two-point boundary-value problems, Kybernetika 15 (1979), 3, 222-230. (1979) 
  11. M. R. Hestenes, Calculus of Variations and Optimal Control Theory, Wiley, New York 1966. (1966) Zbl0173.35703MR0203540
  12. A. E. Bryson Y. C. Ho, Applied Optimal Control, Ginn and Company, Waltham, Massachusetts 1969. (1969) 
  13. A. Miele B. P. Mohanty A. K. Wu, Conversion of Optimal Control Problems with Free Initial State Into Optimal Control Problems with Fixed Initial State, Aero-Astronautics Report No. 130, Rice University, Houston 1976. (1976) 
  14. J. Doležal, Parameter optimization for two-player zero-sum differential games, Trans. of the ASME, Ser. G., J. Dynamic Systems, Measurement and Control 101 (1979), 4, 345-349. (1979) MR0553273
  15. J. Doležal, Parameter optimization in nonzero-sum differential games, Kybernetika 16 (1980), 1, 54-70. (1980) MR0575417
  16. N. U. Ahmed N. D. Georganas, On optimal parameter selection, IEEE Trans. Automatic Control AC-18 (1973), 3, 313-314. (1973) MR0448207
  17. S. M. Roberts J. S. Shipman, Two-Point Boundary Value Problems: Shooting Methods, American Elsevier, New York 1972. (1972) MR0323119
  18. J. Doležal, A gradient-type algorithm for the numerical solution of two-player zero-sum differential games, Kybernetika 14 (1978), 6, 429-446. (1978) MR0529195
  19. P. Černý, Digital Simulation Program for the Solution of Two-Point Boundary-Value Problems, Research Report No. 639, Institute of Information Theory and Automation, Prague 1975. In Czech. (1975) 

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