| Title:
|
Necessary conditions for discrete dynamical systems with delays and general constraints (English) |
| Author:
|
Doležal, Jaroslav |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
17 |
| Issue:
|
5 |
| Year:
|
1981 |
| Pages:
|
425-434 |
| . |
| Category:
|
math |
| . |
| MSC:
|
49B34 |
| MSC:
|
49K99 |
| MSC:
|
90C30 |
| MSC:
|
93C55 |
| idZBL:
|
Zbl 0477.93043 |
| idMR:
|
MR648214 |
| . |
| Date available:
|
2009-09-24T17:23:46Z |
| Last updated:
|
2012-06-05 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/125499 |
| . |
| Reference:
|
[1] M. D. Canon C. D. Cullum E. Polak: Theory of Optimal Control and Mathematical Programming.McGraw-Hill, New York 1970. MR 0397497 |
| Reference:
|
[2] V. G.Boltyanskii: Optimal Control of Discrete Systems.(in Russian). Nauka, Moscow 1973. English translation: Wiley, New York 1978. MR 0528636 |
| Reference:
|
[3] V. G. Boltyanskii: The method of tents in the theory of extremal problems.(in Russian). Uspekhi mat. nauk XXX (1975), 3,3 - 55. English translation: Russian Math. Surveys 30 (1975), 3, 1-54. MR 0445371 |
| Reference:
|
[4] J. Doležal: Necessary optimality conditions for discrete systems with state-dependent control region.Kybernetika 11 (1975), 6, 423-450. MR 0401278 |
| Reference:
|
[5] J. T. Fan C. S. Wang: The Discrete Maximum Principle.Wiley, New York 1964. |
| Reference:
|
[6] D. H. Chyung: Discrete optimal systems with time delay.IEEE Trans. Autom. Control AC-13 (1968), 1, 117. |
| Reference:
|
[7] L. Mariani B. Nicoletti: Optimal discrete systems with pure delays.IEEE Trans. Autom. Control AC-18 (1973), 3, 311-313. |
| Reference:
|
[8] S. A. W. Drew: The application of hierarchial control methods to a managerial problem.Int. J. Systems Sci. 6 (1975), 4, 371-395. MR 0424216 |
| Reference:
|
[9] C. A. Burdet S. P. Sethi: On the maximum principle for a class of discrete dynamical systems with lags.J. Optim. Theory Applies. 19 (1976), 3, 445-454. MR 0419016 |
| Reference:
|
[10] J. Doležal: Optimal control of discrete systems: periodic systems and systems with delays.Proc. 5th Symp. Computers in Chemical Engineering, High Tatras 1977, 831 - 834. |
| Reference:
|
[11] J. Doležal: On optimal control of discrete systems with delays.In: Modelling and Optimization of Complex System (G. I. Marchuk, ed.), Lecture Notes in Control and Information Sciences 18. Springer-Verlag, Berlin 1979, 181-186. MR 0556205 |
| Reference:
|
[12] J. Doležal: Optimal control of discrete systems involving delays.J. Optim. Theory Applies, (to appear). MR 0693677 |
| Reference:
|
[13] J. Doležal: Existence of optimal solutions in general discrete systems.Kybernetika 11 (1975), 4, 301-312. MR 0490220 |
| Reference:
|
[14] J. Doležal: Optimal control existence results for general discrete systems.Appl. Math. Optim. 3 (1976), 1, 51-63. MR 0442788 |
| Reference:
|
[15] J. Warga: Optimal Control of Differential and Functional Equations.Academic Press, New York 1972. Zbl 0253.49001, MR 0372708 |
| Reference:
|
[16] E. B. Lee: Linear hereditary control systems.In: Calculus of Variations and Control Theory (D. L. Russell, ed.). Academic Press, New York 1976, 45-72. Zbl 0346.93005, MR 0418986 |
| . |
