On necessary conditions in variable end-time optimal control problems

• Autorzy: Ioffe A.
• Języki publikacji: EN

Abstrakty

EN

The paper contains a new necessary optimality condition for optimal control problems with free terminal time and discontinuous time dependence, which, actually is a family of conditions, each corresponding to a continuation of optimal trajectory beyond the optimal time for an arbitrary small interval.

Słowa kluczowe

EN

optimal control; necessary optimality condition; differential inclusion; variable end-time

PL

sterowanie optymalne; warunek konieczny optymalności

• Wydawca: Systems Research Institute, Polish Academy of Sciences
• Czasopismo: Control and Cybernetics
• Rocznik: 2005
• Tom: Vol. 34, no 3
• Strony: 805--817
• Opis fizyczny: Bibliogr. 9 poz.

Twórcy

autor

Ioffe A.

• Department of Mathematics, The Technion Haifa 32000, Israel

Bibliografia

• Aubin, J.-P. and Cellina, A. (1984) Differential Inclusions. Springer.
• Clarke, F. and Vinter, R.B. (1989) Application of optimal multiprocesses, SIAM J. Control Optimization 27, 1048-1071.
• Filippov, A.F. (1967) Classical solutions of differential inclusions with multivalued right-hand sides. SIAM J. Control Optimization 5, 609-621.
• Ioffe, A.D. (1984) Approximate subdifferentials and applications 1: The finite dimensional theory. Trans. Amer. Math. Soc. 281, 389-416.
• Ioffe, A.D. (1997) Euler-Lagrange and Hamiltonian formalisms in dynamic optimization. Trans. Amer. Math. Soc. 349, 2871-2900.
• Ioffe, A.D. (2005) Existence and relaxation theorems for unbounded differential inclusions. J. Convex Analysis. To appear.
• Ioffe, A.D. and Rockafellar, R.T. (1996) The Euler andWeierstrass conditions for nonsmooth variational problems. Cal. Variations and Partial. Differential Eq. 4, 59-87.
• Rockafellar, R.T. and Wets, R.J.B. (1998) Variational Analysis. Springer.
• Vinter, R.B. (2000) Optimal Control. Birkhauser.