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The Euler-Lagrange differential inclusion. (English) Zbl 0323.49021


MSC:

93B05 Controllability
49J45 Methods involving semicontinuity and convergence; relaxation
49K99 Optimality conditions
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[1] Clarke, F. H., Necessary conditions for nonsmooth problems in optimal control and the calculus of variations, (PhD. Dissertation (June, 1973), University of Washington) · Zbl 0612.49002
[2] Clarke, F. H., Necessary conditions for nonsmooth variational problems, (Proceedings of the Fourteenth Biennial Seminar of the Canadian Mathematical Congress. Proceedings of the Fourteenth Biennial Seminar of the Canadian Mathematical Congress, Lecture Notes in Economics and Mathematical Systems 106 (1974), Springer-Verlag: Springer-Verlag New York), 70-91
[3] Clarke, F. H., Generalized gradients and applications, Trans. Amer. Math. Soc., 205, 247-262 (1975) · Zbl 0307.26012
[4] Rockafellar, R. T., Convex Analysis (1970), Princeton Press: Princeton Press Princeton, NJ · Zbl 0229.90020
[5] Rockafellar, R. T., Conjugate convex functions in optimal control and the calculus of variations, J. Math. Anal. Appl., 32, 174-222 (1970) · Zbl 0218.49004
[6] Rockafellar, R. T., Existence and duality theorems for convex problems of Bolza, Trans. Amer. Math. Soc., 159, 1-39 (1971) · Zbl 0255.49007
[7] Rockafellar, R. T., Existence theorems for general control problems of Bolza and Lagrange, Advances in Math., 15, 312-333 (1975) · Zbl 0319.49001
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