Parameter optimization in nonzero-sum differential games

Jaroslav Doležal

Kybernetika (1980)

  • Volume: 16, Issue: 1, page (54)-70
  • ISSN: 0023-5954

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Doležal, Jaroslav. "Parameter optimization in nonzero-sum differential games." Kybernetika 16.1 (1980): (54)-70. <http://eudml.org/doc/27418>.

@article{Doležal1980,
author = {Doležal, Jaroslav},
journal = {Kybernetika},
keywords = {parameter optimization; many-player nonzero-sum differential game; necessary optimality conditions; iterative numerical algorithm; determination of Nash equilibrium strategies; determination of optimal parameters; gradient type algorithm},
language = {eng},
number = {1},
pages = {(54)-70},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Parameter optimization in nonzero-sum differential games},
url = {http://eudml.org/doc/27418},
volume = {16},
year = {1980},
}

TY - JOUR
AU - Doležal, Jaroslav
TI - Parameter optimization in nonzero-sum differential games
JO - Kybernetika
PY - 1980
PB - Institute of Information Theory and Automation AS CR
VL - 16
IS - 1
SP - (54)
EP - 70
LA - eng
KW - parameter optimization; many-player nonzero-sum differential game; necessary optimality conditions; iterative numerical algorithm; determination of Nash equilibrium strategies; determination of optimal parameters; gradient type algorithm
UR - http://eudml.org/doc/27418
ER -

References

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  1. E. Hofer P. Sagirow, Optimal Parameter Selection, Regelungstechnik 15 (1957), 12, 537-540. In German. (1957) 
  2. V. G. Boltjanskij, Mathematical Methods of Optimal Control, Nauka, Moscow 1969. In Russian. (1969) MR0353082
  3. N. U. Ahmed N. D. Georganas, On Optimal Parameter Selections, IEEE Trans. on Automatic Control AC-18 (1973), 3, 313-314. (1973) MR0448207
  4. R. V. Gamkrelidze, On Some Extremal Problems in the Theory of Differential Equations with Applications to the Theory of Optimal Control, SIAM Journal of Control 3 (1965), 1, 106-128. (1965) Zbl0296.49009MR0192937
  5. N. D. Georganas, Optimal Parameter Selection by Imbedding Techniques, IEEE Trans. on Automatic Control AC-20 (1975), 1, 166-167. (1975) Zbl0298.49004
  6. R. Lunderstadt, Transportations Systems with Optimal Parameters, Problems of Control and Information Theory 5 (1976), 2, 109-116. (1976) MR0411742
  7. J. Doležal P. Černý, The Application of Optimal Control Methods to the Determination of Multifunctional Catalyst, Automatizace 21 (1978), 1, 3-8. In Czech. (1978) 
  8. A. E. Bryson Y. C. Ho, Applied Optimal Control, Ginn and Company, Waltham, Massachusetts 1969. (1969) 
  9. F. P. Vasiljev, Lectures on Solution Methods for Extremum Problems, Moscow University Publishers, Moscow 1974. In Russian. (1974) 
  10. A. Miele, Recent Advances in Gradient Algorithms for Optimal Control Problems, Journal of Optimization Theory and Applications 17 (1975), 5 - 6, 361 - 430. (1975) Zbl0325.49014MR0412933
  11. J. Doležal, Optimal Parameter Estimation in Two-Player Zero-Sum Differential Games, In "Trans. of the 8-th Prague Conference on Information Theory, Statistical Decision Functions, and Random Processes", M. Driml (ed.), Vol. A. Academia, Prague 1978, 143-156. (1978) MR0536774
  12. J. Doležal, Parameter Optimization for Two-Player Zero-Sum Differential Games, Trans. of the ASME, Journal of Dynamic Systems, Measurement, and Control 101 (1979), Ser. G, 4. (1979) MR0553273
  13. C. T. Leondes T. K. Siu, Parameter Optimization for Linear Quadratic Differential Games, Trans. of the ASME, Journal of Dynamic Systems, Measurement, and Control 99 (1977), Ser. G, 1, 58-62. (1977) MR0503908
  14. J. Doležal, A Gradient-Type Algorithm for the Numerical Solution of Two-Player Zero-Sum Differential Game Problems, Kybernetika 14 (1978), 6, 429-446. (1978) MR0529195
  15. J. Doležal M. Thoma, On the Numerical Solution of N-Player Nonzero-Sum Differential Games Via Nash Solution Concept, Problems of Control and Information Theory 8 (1979), 6. (1979) MR0553883
  16. J. Doležal, A Numerical Approach to the Solution of Differential Games, Research Report No. 709, Institute of Information Theory and Automation, Prague 1976. (1976) 
  17. J. Doležal, A SIMFOR Realization of the First-Order Gradient Algorithm, Research Report No. 848, Institute of Information Theory and Automation, Prague 1977. (1977) 
  18. U. R. Prasad I. G. Sarma, Theory of N-Person Differential Games, In "Proc. of the First International Conference on the Theory and Application of Differential Games", Y. C. Ho, G. Leitmann (eds.), Amherst, Mass. 1969. VIII 12-17. (1969) 
  19. L. Berkovitz, Lectures on Differential Games, In "Differential Games and Related Topics", H. W. Kuhn, G. P. Szegö (eds.), North-Holland, Amsterdam 1971, 3-45. (1971) Zbl0219.90058MR0281504
  20. J. H. Case, Toward a Theory of Many Player Differential Games, SIAM Journal on Control 7 (1969), 2, 179-197. (1969) Zbl0176.39404MR0249111
  21. D. H. Quintana E. J. Davison, Two Numerical Techniques to Solve Differential Game Problems, International Journal of Control 16 (1972), 3, 465 - 474. (1972) MR0314475
  22. J. Doležal, On the Modified Quasi linearization Method for Discrete Two-Point Boundary-Value Problems, Research Report No. 788, Institute of Information Theory and Automation, Prague 1977. (1977) 
  23. J. Doležal, Differential Games with Parameters, 9-th IFIP Conference on Optimization Techniques, Warsaw, September 3 - 9, 1979. To appear. (1979) MR0588534
  24. P. Černý, Digital Simulation Program SIMFOR 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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