| Title:
|
Parameter optimization in nonzero-sum differential games (English) |
| Author:
|
Doležal, Jaroslav |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
16 |
| Issue:
|
1 |
| Year:
|
1980 |
| Pages:
|
(54)-70 |
| . |
| Category:
|
math |
| . |
| MSC:
|
49D07 |
| MSC:
|
65K05 |
| MSC:
|
90D25 |
| MSC:
|
91A10 |
| MSC:
|
91A23 |
| idZBL:
|
Zbl 0432.90098 |
| idMR:
|
MR575417 |
| . |
| Date available:
|
2009-09-24T17:12:09Z |
| Last updated:
|
2012-06-05 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/124263 |
| . |
| Reference:
|
[1] E. Hofer P. Sagirow: Optimal Parameter Selection.Regelungstechnik 15 (1957), 12, 537-540. In German. |
| Reference:
|
[2] V. G. Boltjanskij: Mathematical Methods of Optimal Control.Nauka, Moscow 1969. In Russian. MR 0353082 |
| Reference:
|
[3] N. U. Ahmed N. D. Georganas: On Optimal Parameter Selections.IEEE Trans. on Automatic Control AC-18 (1973), 3, 313-314. MR 0448207 |
| Reference:
|
[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. Zbl 0296.49009, MR 0192937 |
| Reference:
|
[5] N. D. Georganas: Optimal Parameter Selection by Imbedding Techniques.IEEE Trans. on Automatic Control AC-20 (1975), 1, 166-167. Zbl 0298.49004 |
| Reference:
|
[6] R. Lunderstadt: Transportations Systems with Optimal Parameters.Problems of Control and Information Theory 5 (1976), 2, 109-116. MR 0411742 |
| Reference:
|
[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. |
| Reference:
|
[8] A. E. Bryson Y. C. Ho: Applied Optimal Control.Ginn and Company, Waltham, Massachusetts 1969. |
| Reference:
|
[9] F. P. Vasiljev: Lectures on Solution Methods for Extremum Problems.Moscow University Publishers, Moscow 1974. In Russian. |
| Reference:
|
[10] A. Miele: Recent Advances in Gradient Algorithms for Optimal Control Problems.Journal of Optimization Theory and Applications 17 (1975), 5 - 6, 361 - 430. Zbl 0325.49014, MR 0412933 |
| Reference:
|
[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 0536774 |
| Reference:
|
[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 0553273 |
| Reference:
|
[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 0503908 |
| Reference:
|
[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 0529195 |
| Reference:
|
[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 0553883 |
| Reference:
|
[16] J. Doležal: A Numerical Approach to the Solution of Differential Games.Research Report No. 709, Institute of Information Theory and Automation, Prague 1976. |
| Reference:
|
[17] J. Doležal: A SIMFOR Realization of the First-Order Gradient Algorithm.Research Report No. 848, Institute of Information Theory and Automation, Prague 1977. |
| Reference:
|
[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. |
| Reference:
|
[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. Zbl 0219.90058, MR 0281504 |
| Reference:
|
[20] J. H. Case: Toward a Theory of Many Player Differential Games.SIAM Journal on Control 7 (1969), 2, 179-197. Zbl 0176.39404, MR 0249111 |
| Reference:
|
[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 0314475 |
| Reference:
|
[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. |
| Reference:
|
[23] J. Doležal: Differential Games with Parameters.9-th IFIP Conference on Optimization Techniques, Warsaw, September 3 - 9, 1979. To appear. MR 0588534 |
| Reference:
|
[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. |
| . |
