Scorza-Dragoni's Theorem for Unbounded Set-Valued Functions and its Applications to Control Problems

Pavol Brunovský

Matematický časopis (1970)

  • Volume: 20, Issue: 3, page 205-213
  • ISSN: 0139-9918

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Brunovský, Pavol. "Scorza-Dragoni's Theorem for Unbounded Set-Valued Functions and its Applications to Control Problems." Matematický časopis 20.3 (1970): 205-213. <http://eudml.org/doc/30233>.

@article{Brunovský1970,
author = {Brunovský, Pavol},
journal = {Matematický časopis},
language = {eng},
number = {3},
pages = {205-213},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Scorza-Dragoni's Theorem for Unbounded Set-Valued Functions and its Applications to Control Problems},
url = {http://eudml.org/doc/30233},
volume = {20},
year = {1970},
}

TY - JOUR
AU - Brunovský, Pavol
TI - Scorza-Dragoni's Theorem for Unbounded Set-Valued Functions and its Applications to Control Problems
JO - Matematický časopis
PY - 1970
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 20
IS - 3
SP - 205
EP - 213
LA - eng
UR - http://eudml.org/doc/30233
ER -

References

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  1. Goodman G. S., On a theorem of Scorza-Dragoni and its application to optimal control, Mathematical Theory of Control, ed, by A. V. Balakrishnan and L. V. Neustadt, Academic Press, 1967, pp. 222 - 233, New York. (1967) MR0256238
  2. Jacobs M. Q., Remark on some recent extensions of Filippov's implicit function lemma, SIAM Journal on Control 5 (1967), 622-627. (1967) MR0223951
  3. Castaing, Ch., Sur les multi-application measurables, Rev. Francaise d'informatique et de Recherche Operationelle 1 (1967). (1967) MR0223527
  4. Scorza-Dragoni G., Una theorema sulle funzioni continue rispetto ad una i misurable rispetto ad un altra variabile, Rend. Semin. mat. Univ. Padova 17 (1948), 102-106. (1948) MR0028385
  5. Cesari L., Existence theorems for weak and usual optimal solutions in Lagrange problems with unilateral constraints, Trans. Amer. Math. Soc., 124 (1966), 369 - 412, 413-429. (1966) Zbl0145.12501MR0203542
  6. Cesari L., Existence theorems for optimal controls of Mayer type, SIAM Journal on Control. (To appear) MR0243400
  7. Olech C., Existence theorems for optimal problems with vector-valued cost function, Brown University, Center for Dynamical Systems Technical Report, 67 - 6, (1967). (1967) 
  8. Pliś A., Remark on measurable set-valued functions, Bull. Acad. Pol. Sci., Ser. Sci. Math. Astr. Phys. 9 (1961), 857 - 859. (1961) Zbl0101.04303MR0132145
  9. Brunovský P., On the necessity of a certain convexity condition for lower closure of control problems, SIAM Journal on Control, 6 (1968), 174-185. (1968) Zbl0176.07001MR0239480
  10. Hukuhara M., Intégration des applications measurables dont la valeur est convexe, Funkcialaj Ekvacioj 10 (1967), 205-223. (1967) MR0226503

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