Geodesic
Parameter optimization in nonzero-sum differential games
Kybernetika, Tome 16 (1980) no. 1, pp. 54-70 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

Classification : 49D07, 65K05, 90D25, 91A10, 91A23 
@article{KYB_1980_16_1_a4,
     author = {Dole\v{z}al, Jaroslav},
     title = {Parameter optimization in nonzero-sum differential games},
     journal = {Kybernetika},
     pages = {54--70},
     year = {1980},
     volume = {16},
     number = {1},
     mrnumber = {575417},
     zbl = {0432.90098},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KYB_1980_16_1_a4/}
}
TY  - JOUR
AU  - Doležal, Jaroslav
TI  - Parameter optimization in nonzero-sum differential games
JO  - Kybernetika
PY  - 1980
SP  - 54
EP  - 70
VL  - 16
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/KYB_1980_16_1_a4/
LA  - en
ID  - KYB_1980_16_1_a4
ER  - 
%0 Journal Article
%A Doležal, Jaroslav
%T Parameter optimization in nonzero-sum differential games
%J Kybernetika
%D 1980
%P 54-70
%V 16
%N 1
%U http://geodesic.mathdoc.fr/item/KYB_1980_16_1_a4/
%G en
%F KYB_1980_16_1_a4
Doležal, Jaroslav. Parameter optimization in nonzero-sum differential games. Kybernetika, Tome 16 (1980) no. 1, pp. 54-70. http://geodesic.mathdoc.fr/item/KYB_1980_16_1_a4/

[1] E. Hofer P. Sagirow: Optimal Parameter Selection. Regelungstechnik 15 (1957), 12, 537-540. In German.

[2] V. G. Boltjanskij: Mathematical Methods of Optimal Control. Nauka, Moscow 1969. In Russian. | MR

[3] N. U. Ahmed N. D. Georganas: On Optimal Parameter Selections. IEEE Trans. on Automatic Control AC-18 (1973), 3, 313-314. | MR

[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. | MR | Zbl

[5] N. D. Georganas: Optimal Parameter Selection by Imbedding Techniques. IEEE Trans. on Automatic Control AC-20 (1975), 1, 166-167. | Zbl

[6] R. Lunderstadt: Transportations Systems with Optimal Parameters. Problems of Control and Information Theory 5 (1976), 2, 109-116. | MR

[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.

[8] A. E. Bryson Y. C. Ho: Applied Optimal Control. Ginn and Company, Waltham, Massachusetts 1969.

[9] F. P. Vasiljev: Lectures on Solution Methods for Extremum Problems. Moscow University Publishers, Moscow 1974. In Russian.

[10] A. Miele: Recent Advances in Gradient Algorithms for Optimal Control Problems. Journal of Optimization Theory and Applications 17 (1975), 5 - 6, 361 - 430. | MR | Zbl

[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. | MR

[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. | MR

[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. | MR

[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. | MR

[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. | MR

[16] J. Doležal: A Numerical Approach to the Solution of Differential Games. Research Report No. 709, Institute of Information Theory and Automation, Prague 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.

[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.

[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. | MR | Zbl

[20] J. H. Case: Toward a Theory of Many Player Differential Games. SIAM Journal on Control 7 (1969), 2, 179-197. | MR | Zbl

[21] D. H. Quintana E. J. Davison: Two Numerical Techniques to Solve Differential Game Problems. International Journal of Control 16 (1972), 3, 465 - 474. | MR

[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.

[23] J. Doležal: Differential Games with Parameters. 9-th IFIP Conference on Optimization Techniques, Warsaw, September 3 - 9, 1979. To appear. | MR

[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.