Asymptotics of a Solution to an Optimal Control Problem with a Terminal Convex Performance Index and a Perturbation of the Initial Data-Reference-Cited by-同舟云学术

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Asymptotics of a Solution to an Optimal Control Problem with a Terminal Convex Performance Index and a Perturbation of the Initial Data

Published:2023-12 Issue:S1 Volume:323 Page:S85-S97
ISSN:0081-5438
Container-title:Proceedings of the Steklov Institute of Mathematics
language:en
Short-container-title:Proc. Steklov Inst. Math.

Author:

Danilin A. R.,Kovrizhnykh O. O.

Publisher

Pleiades Publishing Ltd

Link

https://link.springer.com/content/pdf/10.1134/S008154382306007X.pdf

Reference16 articles.

1. L. S. Pontryagin, V. G. Boltyanskii, R. V. Gamkrelidze, and E. F. Mishchenko, The Mathematical Theory of Optimal Processes (Fizmatgiz, Moscow, 1961; Wiley, New York, 1962).

2. N. N. Krasovskii, Theory of Motion Control: Linear Systems (Nauka, Moscow, 1968) [in Russian].

3. E. B. Lee and L. Markus, Foundations of Optimal Control Theory (Wiley, New York, 1967; Nauka, Moscow, 1972).

4. A. R. Danilin and A. M. Il’in, “On the structure of the solution of a perturbed time-optimal problem,” Fundam. Prikl. Mat. 4 (3), 905–926 (1998).

5. M. G. Dmitriev and G. A. Kurina, “Singular perturbations in control problems,” Autom. Remote Control 67 (1), 1–43 (2006). https://doi.org/10.1134/S0005117906010012

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