| Title:
|
Scorza-Dragoni's Theorem for Unbounded Set-Valued Functions and its Applications to Control Problems (English) |
| Author:
|
Brunovský, Pavol |
| Language:
|
English |
| Journal:
|
Matematický časopis |
| ISSN:
|
0025-5173 |
| Volume:
|
20 |
| Issue:
|
3 |
| Year:
|
1970 |
| Pages:
|
205-213 |
| . |
| Category:
|
math |
| . |
| MSC:
|
49A05 |
| MSC:
|
49J99 |
| idZBL:
|
Zbl 0215.21601 |
| idMR:
|
MR0303380 |
| . |
| Date available:
|
2009-09-25T08:08:44Z |
| Last updated:
|
2012-07-31 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127079 |
| . |
| Reference:
|
[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. MR 0256238 |
| Reference:
|
[2] Jacobs M. Q.: Remark on some recent extensions of Filippov's implicit function lemma.SIAM Journal on Control 5 (1967), 622-627. MR 0223951 |
| Reference:
|
[3] Castaing, Ch.: Sur les multi-application measurables.Rev. Francaise d'informatique et de Recherche Operationelle 1 (1967). MR 0223527 |
| Reference:
|
[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. MR 0028385 |
| Reference:
|
[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. Zbl 0145.12501, MR 0203542 |
| Reference:
|
[6] Cesari L.: Existence theorems for optimal controls of Mayer type.SIAM Journal on Control. (To appear) MR 0243400 |
| Reference:
|
[7] Olech C.: Existence theorems for optimal problems with vector-valued cost function.Brown University, Center for Dynamical Systems Technical Report, 67 - 6, (1967). |
| Reference:
|
[8] Pliś A.: Remark on measurable set-valued functions.Bull. Acad. Pol. Sci., Ser. Sci. Math. Astr. Phys. 9 (1961), 857 - 859. Zbl 0101.04303, MR 0132145 |
| Reference:
|
[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. Zbl 0176.07001, MR 0239480 |
| Reference:
|
[10] Hukuhara M.: Intégration des applications measurables dont la valeur est convexe.Funkcialaj Ekvacioj 10 (1967), 205-223. MR 0226503 |
| . |
