Viability and generalized differential quotients

Control and Cybernetics

Volumn 35, Issue 4, 2006, Pages 815-829

  Girejko, Ewa ^a   Bartosiewicz, Zbigniew ^a  

^a BIALYSTOK UNIVERSITY OF TECHNOLOGY   (Poland)

Author keywords

Cellina continuous approximability (CCA); Contingent derivative; Differential inclusion; Generalized differential quotient (GDQ); Viability

Indexed keywords

EID: 34547150652     PISSN: 03248569     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (11)

1. AUBIN, J.P. and CELLINA, A. (1984) Differential Inclusions. Springer-Verlag, Berlin-Heidelberg, New York-Tokyo.
2. AUBIN, J.P. and FRANKOWSKA, H. (1990) Set- Valued Analysis. Birkhäuser.
3. BOTHE, D. (1992) Multivalued differential equations on graphs. J. Nonlinear Analysis, TAMS 18, 245-252.
4. FRANKOWSKA, H., PLASKACZ, S. and RZEŻ UCHOWSKI, T. (1995) Measurable viability theorems and the Hamilton-Jacobi-Bellman Journal of Differential Equations 116, 265-305.
5. GIREJKO, E. (2005) On generalized differential quotients of set-valued maps. Rendiconti del Seminario Matematico dell'Universita' e del Politécnico di Torino 63 (4), 357-362.
6. HU, SH. and PAPAGEORGIOU, S.N. (1997a) Handbook of Multivalued Analysis. Vol. I: Theory. Kluwer Academic Publishers, Dordrecht-Boston-London.
7. HU, SH. and PAPAGEORGIOU, S.N. (1997b) Handbook of Multivalued Analysis. Vol. II: Applications, Kluwer Academic Publishers, Dordrecht-Boston-London.
8. JARNIK, J. and KURZWEIL, J. (1968) On conditions on right hand sides of differentials relations. Casopis Pest. Mat. 102 334-349.
9. RZEŻUCHOWSKI, T. (1980) Scorza-Dragoni type theorem for upper-semicontinuous multivalued functions. Bull. Acad. Polonaise des Science 28 (1-2), 61-65.
10. SUSSMANN, H.J. (2000) New theories of set-valued differentials and new version of the maximum principle of optimal control theory. In: A. Isidori, F. Lamnabhi-Lagarrigue and W. Respondek, eds., Nonlinear Control in the Year 2000. Springer-Verlag, London, 487-526.
11. SUSSMANN, H.J. (2002) Warga derivate containers and other generalized differentials, Proceedings of the 41st IEEE 2002 Conference on Decision and Control. Las Vegas, Nevada, December 10-13, 1101-1106.