Refined Euler–Lagrange Inclusion for an Optimal Control Problem with Discontinuous Integrand-Reference-Cited by-同舟云学术

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Refined Euler–Lagrange Inclusion for an Optimal Control Problem with Discontinuous Integrand

Published:2021-12 Issue:1 Volume:315 Page:27-55
ISSN:0081-5438
Container-title:Proceedings of the Steklov Institute of Mathematics
language:en
Short-container-title:Proc. Steklov Inst. Math.

Author:

Aseev S. M.

Publisher

Pleiades Publishing Ltd

Subject

Mathematics (miscellaneous)

Link

https://link.springer.com/content/pdf/10.1134/S0081543821050047.pdf

Reference31 articles.

1. A. V. Arutyunov, “Perturbations of extremal problems with constraints and necessary optimality conditions,” J. Sov. Math. 54 (6), 1342–1400 (1991) [transl. from Itogi Nauki Tekh., Ser. Mat. Anal. 27, 147–235 (1989)].

2. A. V. Arutyunov, Optimality Conditions: Abnormal and Degenerate Problems (Faktorial, Moscow, 1997; Kluwer, Dordrecht, 2000).

3. A. V. Arutyunov and S. M. Aseev, “Investigation of the degeneracy phenomenon of the maximum principle for optimal control problems with state constraints,” SIAM J. Control Optim. 35 (3), 930–952 (1997).

4. A. V. Arutyunov, D. Yu. Karamzin, and F. L. Pereira, “The maximum principle for optimal control problems with state constraints by R. V. Gamkrelidze: Revisited,” J. Optim. Theory Appl. 149 (3), 474–493 (2011).

5. S. M. Aseev, “Methods of regularization in nonsmooth problems of dynamic optimization,” J. Math. Sci. 94 (3), 1366–1393 (1999).

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2. Об ослаблении фазовых ограничений в задачах оптимального управления;Trudy Matematicheskogo Instituta imeni V.A. Steklova;2023-06

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