Problems of Boundary Control and Optimal Control of String Vibrations with Multipoint Intermediate Conditions on the State Functions-Reference-Cited by-同舟云学术

Problems of Boundary Control and Optimal Control of String Vibrations with Multipoint Intermediate Conditions on the State Functions

Published:2022-12 Issue:S1 Volume:319 Page:S66-S79
ISSN:0081-5438
Container-title:Proceedings of the Steklov Institute of Mathematics
language:en
Short-container-title:Proc. Steklov Inst. Math.

Author:

Barseghyan V. R.

Publisher

Pleiades Publishing Ltd

Subject

Mathematics (miscellaneous)

Link

https://link.springer.com/content/pdf/10.1134/S0081543822060074.pdf

Reference19 articles.

1. A. G. Butkovskii, Theory of Optimal Boundary Control for Distributed Parameter Systems (Nauka, Moscow, 1975) [in Russian].

2. L. N. Znamenskaya, Control of Elastic Oscillations (Fizmatlit, Moscow, 2004) [in Russian].

3. V. A. Il’in and E. I. Moiseev, “Optimization of boundary controls of string vibrations,” Russ. Math. Surv. 60 (6), 1093–1119 (2005). https://doi.org/10.1070/RM2005v060n06ABEH004283

4. E. I. Moiseev, A. A. Kholomeeva, and A. A. Frolov, “Boundary displacement control for the oscillation process with boundary conditions of damping type for a time less than critical'', J. Math. Sci. 257 (1), 74-84 (20121 ) https://doi.org/10.1007/s10958-021-05471-7

5. M. F. Abdukarimov, “On an optimal boundary control of displacements in the process of forced vibrations on both ends of a string,” Dokl. Akad. Nauk Resp. Tadzh. 56 (8), 612–618 (2013).

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