Set transversality, approximating multicones, Warga derivate containers and Mordukhovich cones

Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05

Volumn 2005, Issue , 2005, Pages 2143-2148

  Sussmann, Héctor J ^a  

^a RUTGERS UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; DIFFERENTIATION (CALCULUS); OPTIMIZATION; SET THEORY;

MORDUKHOVICH CONES; MULTICONES; SET TRANSVERSALITY; WARGA DERIVATES;

MAXIMUM PRINCIPLE;

EID: 33847239565     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/CDC.2005.1582478     Document Type: Conference Paper

References (7)

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2. Sussmann, H. J., "A maximum principle for hybrid optimal control problems." In Proc. 38th IEEE Conf. Decision and Control, Phoenix, AZ, Dec. 1999. IEEE publications, New York, 1999, pp. 425-430.
3. e Journée Annuelle de la Société Mathémathique de France (SMF), Publications de la SMF, Paris, 2000, pp. 1-52.
4. Sussmann, H.J., "New theories of set-valued differentials and new versions of the maximum principle of optimal control theory." In Nonlinear Control in the year 2000, A. Isidori, F. Lamnabhi-Lagarrigue and W. Respondek Eds., Springer-Verlag, London, 2000, pp. 487-526.
5. Warga, J., "Controllability, extremality and abnormality in nonsmooth optimal control." J. Optim. Theory Applic. 41, 1983, pp. 239-260.
6. Warga, J., "Optimization and controllability without differentiability assumptions." SIAM J. Control and Optimization 21, 1983, pp. 837-855.
7. 1 approximations." Nonlinear Anal. TMA 12, 1988, pp. 593-597.