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Piecewise polynomial control in mechanical systems. / Alesova, Irina M.; Babadzanjanz, Levon K.; Pototskaya, Irina Yu; Pupysheva, Yulia Yu; Saakyan, Artur T.

International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2016. ed. / Theodore E. Simos; Theodore E. Simos; Charalambos Tsitouras. Vol. 1863 American Institute of Physics, 2017. 170007.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Harvard

Alesova, IM, Babadzanjanz, LK, Pototskaya, IY, Pupysheva, YY & Saakyan, AT 2017, Piecewise polynomial control in mechanical systems. in TE Simos, TE Simos & C Tsitouras (eds), International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2016. vol. 1863, 170007, American Institute of Physics, International Conference of Numerical Analysis and Applied Mathematics 2016, ICNAAM 2016, Rhodes, Greece, 19/09/16. https://doi.org/10.1063/1.4992352

APA

Alesova, I. M., Babadzanjanz, L. K., Pototskaya, I. Y., Pupysheva, Y. Y., & Saakyan, A. T. (2017). Piecewise polynomial control in mechanical systems. In T. E. Simos, T. E. Simos, & C. Tsitouras (Eds.), International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2016 (Vol. 1863). [170007] American Institute of Physics. https://doi.org/10.1063/1.4992352

Vancouver

Alesova IM, Babadzanjanz LK, Pototskaya IY, Pupysheva YY, Saakyan AT. Piecewise polynomial control in mechanical systems. In Simos TE, Simos TE, Tsitouras C, editors, International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2016. Vol. 1863. American Institute of Physics. 2017. 170007 https://doi.org/10.1063/1.4992352

Author

Alesova, Irina M. ; Babadzanjanz, Levon K. ; Pototskaya, Irina Yu ; Pupysheva, Yulia Yu ; Saakyan, Artur T. / Piecewise polynomial control in mechanical systems. International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2016. editor / Theodore E. Simos ; Theodore E. Simos ; Charalambos Tsitouras. Vol. 1863 American Institute of Physics, 2017.

BibTeX

@inproceedings{fcdb87171a4945c993e36624fdb71c8c,
title = "Piecewise polynomial control in mechanical systems",
abstract = "The controlled motion of a mechanical system is represented by the linear ODE system with constant coefficients. The admissible control is a piecewise polynomial function that blanks selected frequency components of the solution of linear equations at the moment T. As {"}the expenditure{"} functional we use the integral of the sum of the modules of coordinates of the control along the interval [0, T]. The problem under consideration is to construct an admissible control which minimizes the Expenditure. To solve this problem the method that consists of analytical and numerical parts is proposed. All results of research are formulated as the theorem.",
author = "Alesova, {Irina M.} and Babadzanjanz, {Levon K.} and Pototskaya, {Irina Yu} and Pupysheva, {Yulia Yu} and Saakyan, {Artur T.}",
year = "2017",
month = jul,
day = "21",
doi = "10.1063/1.4992352",
language = "English",
volume = "1863",
editor = "Simos, {Theodore E.} and Simos, {Theodore E.} and Charalambos Tsitouras",
booktitle = "International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2016",
publisher = "American Institute of Physics",
address = "United States",
note = "International Conference of Numerical Analysis and Applied Mathematics 2016, ICNAAM 2016, ICNAAM 2016 ; Conference date: 19-09-2016 Through 25-09-2016",
url = "http://icnaam.org/",

}

RIS

TY - GEN

T1 - Piecewise polynomial control in mechanical systems

AU - Alesova, Irina M.

AU - Babadzanjanz, Levon K.

AU - Pototskaya, Irina Yu

AU - Pupysheva, Yulia Yu

AU - Saakyan, Artur T.

PY - 2017/7/21

Y1 - 2017/7/21

N2 - The controlled motion of a mechanical system is represented by the linear ODE system with constant coefficients. The admissible control is a piecewise polynomial function that blanks selected frequency components of the solution of linear equations at the moment T. As "the expenditure" functional we use the integral of the sum of the modules of coordinates of the control along the interval [0, T]. The problem under consideration is to construct an admissible control which minimizes the Expenditure. To solve this problem the method that consists of analytical and numerical parts is proposed. All results of research are formulated as the theorem.

AB - The controlled motion of a mechanical system is represented by the linear ODE system with constant coefficients. The admissible control is a piecewise polynomial function that blanks selected frequency components of the solution of linear equations at the moment T. As "the expenditure" functional we use the integral of the sum of the modules of coordinates of the control along the interval [0, T]. The problem under consideration is to construct an admissible control which minimizes the Expenditure. To solve this problem the method that consists of analytical and numerical parts is proposed. All results of research are formulated as the theorem.

UR - http://www.scopus.com/inward/record.url?scp=85026664164&partnerID=8YFLogxK

U2 - 10.1063/1.4992352

DO - 10.1063/1.4992352

M3 - Conference contribution

AN - SCOPUS:85026664164

VL - 1863

BT - International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2016

A2 - Simos, Theodore E.

A2 - Simos, Theodore E.

A2 - Tsitouras, Charalambos

PB - American Institute of Physics

T2 - International Conference of Numerical Analysis and Applied Mathematics 2016, ICNAAM 2016

Y2 - 19 September 2016 through 25 September 2016

ER -

ID: 36459751