| Title:
|
On the solution of optimal control problems involving parameters and general boundary conditions (English) |
| Author:
|
Doležal, Jaroslav |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
17 |
| Issue:
|
1 |
| Year:
|
1981 |
| Pages:
|
71-81 |
| . |
| Category:
|
math |
| . |
| MSC:
|
49C15 |
| MSC:
|
49K15 |
| MSC:
|
90C52 |
| idZBL:
|
Zbl 0454.49017 |
| idMR:
|
MR629350 |
| . |
| Date available:
|
2009-09-24T17:18:59Z |
| Last updated:
|
2012-06-05 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/124375 |
| . |
| Reference:
|
[1] V. A. Trojckij: Variational problems of optimization of control processes.Prikladnaja matematika i mechanika 26 (1962), 1, 29-38. In Russian. MR 0143677 |
| Reference:
|
[2] L. T. Fan C. S. Wang: The Discrete Maximum Principle.Wiley, New York 1966. MR 0195614 |
| Reference:
|
[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. |
| Reference:
|
[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. |
| Reference:
|
[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. MR 0524638 |
| Reference:
|
[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. |
| Reference:
|
[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. |
| Reference:
|
[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. MR 0266441 |
| Reference:
|
[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. |
| Reference:
|
[10] J. Doležal J. Fidler: On the numerical solution of implicite two-point boundary-value problems.Kybernetika 15 (1979), 3, 222-230. |
| Reference:
|
[11] M. R. Hestenes: Calculus of Variations and Optimal Control Theory.Wiley, New York 1966. Zbl 0173.35703, MR 0203540 |
| Reference:
|
[12] A. E. Bryson Y. C. Ho: Applied Optimal Control.Ginn and Company, Waltham, Massachusetts 1969. |
| Reference:
|
[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. |
| Reference:
|
[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. MR 0553273 |
| Reference:
|
[15] J. Doležal: Parameter optimization in nonzero-sum differential games.Kybernetika 16 (1980), 1, 54-70. MR 0575417 |
| Reference:
|
[16] N. U. Ahmed N. D. Georganas: On optimal parameter selection.IEEE Trans. Automatic Control AC-18 (1973), 3, 313-314. MR 0448207 |
| Reference:
|
[17] S. M. Roberts J. S. Shipman: Two-Point Boundary Value Problems: Shooting Methods.American Elsevier, New York 1972. MR 0323119 |
| Reference:
|
[18] J. Doležal: A gradient-type algorithm for the numerical solution of two-player zero-sum differential games.Kybernetika 14 (1978), 6, 429-446. MR 0529195 |
| Reference:
|
[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. |
| . |
