Necessary conditions for discrete dynamical systems with delays and general constraints

Jaroslav Doležal

Kybernetika (1981)

  • Volume: 17, Issue: 5, page 425-434
  • ISSN: 0023-5954

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Doležal, Jaroslav. "Necessary conditions for discrete dynamical systems with delays and general constraints." Kybernetika 17.5 (1981): 425-434. <http://eudml.org/doc/28654>.

@article{Doležal1981,
author = {Doležal, Jaroslav},
journal = {Kybernetika},
keywords = {discrete-time systems with delays; state and state-dependent control constraints; necessary optimality conditions; maximum principle},
language = {eng},
number = {5},
pages = {425-434},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Necessary conditions for discrete dynamical systems with delays and general constraints},
url = {http://eudml.org/doc/28654},
volume = {17},
year = {1981},
}

TY - JOUR
AU - Doležal, Jaroslav
TI - Necessary conditions for discrete dynamical systems with delays and general constraints
JO - Kybernetika
PY - 1981
PB - Institute of Information Theory and Automation AS CR
VL - 17
IS - 5
SP - 425
EP - 434
LA - eng
KW - discrete-time systems with delays; state and state-dependent control constraints; necessary optimality conditions; maximum principle
UR - http://eudml.org/doc/28654
ER -

References

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  1. M. D. Canon C. D. Cullum E. Polak, Theory of Optimal Control and Mathematical Programming, McGraw-Hill, New York 1970. (1970) MR0397497
  2. V. G.Boltyanskii, Optimal Control of Discrete Systems, (in Russian). Nauka, Moscow 1973. English translation: Wiley, New York 1978. (1973) MR0528636
  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. (1975) MR0445371
  4. J. Doležal, Necessary optimality conditions for discrete systems with state-dependent control region, Kybernetika 11 (1975), 6, 423-450. (1975) MR0401278
  5. J. T. Fan C. S. Wang, The Discrete Maximum Principle, Wiley, New York 1964. (1964) 
  6. D. H. Chyung, Discrete optimal systems with time delay, IEEE Trans. Autom. Control AC-13 (1968), 1, 117. (1968) 
  7. L. Mariani B. Nicoletti, Optimal discrete systems with pure delays, IEEE Trans. Autom. Control AC-18 (1973), 3, 311-313. (1973) 
  8. S. A. W. Drew, The application of hierarchial control methods to a managerial problem, Int. J. Systems Sci. 6 (1975), 4, 371-395. (1975) MR0424216
  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. (1976) MR0419016
  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. (1977) 
  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. (1979) MR0556205
  12. J. Doležal, Optimal control of discrete systems involving delays, J. Optim. Theory Applies, (to appear). MR0693677
  13. J. Doležal, Existence of optimal solutions in general discrete systems, Kybernetika 11 (1975), 4, 301-312. (1975) MR0490220
  14. J. Doležal, Optimal control existence results for general discrete systems, Appl. Math. Optim. 3 (1976), 1, 51-63. (1976) MR0442788
  15. J. Warga, Optimal Control of Differential and Functional Equations, Academic Press, New York 1972. (1972) Zbl0253.49001MR0372708
  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. (1976) Zbl0346.93005MR0418986

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