Standard

Piecewise constant control of linear mechanical systems in the general case. / Alesova, I. M.; Babadzanjanz, L. K.; Bregman, A. M.; Bregman, K. M.; Pototskaya, I. Yu; Pupysheva, Yu Yu; Saakyan, A. T.

International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2017. ed. / Charalambos Tsitouras; Theodore Simos; Theodore Simos; Theodore Simos; Theodore Simos; Theodore Simos. Vol. 1978 American Institute of Physics, 2018. 100009 (AIP Conference Proceedings; Vol. 1978).

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

Harvard

Alesova, IM, Babadzanjanz, LK, Bregman, AM, Bregman, KM, Pototskaya, IY, Pupysheva, YY & Saakyan, AT 2018, Piecewise constant control of linear mechanical systems in the general case. in C Tsitouras, T Simos, T Simos, T Simos, T Simos & T Simos (eds), International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2017. vol. 1978, 100009, AIP Conference Proceedings, vol. 1978, American Institute of Physics, 15th International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2017, Thessaloniki, Greece, 25/09/17. https://doi.org/10.1063/1.5043753

APA

Alesova, I. M., Babadzanjanz, L. K., Bregman, A. M., Bregman, K. M., Pototskaya, I. Y., Pupysheva, Y. Y., & Saakyan, A. T. (2018). Piecewise constant control of linear mechanical systems in the general case. In C. Tsitouras, T. Simos, T. Simos, T. Simos, T. Simos, & T. Simos (Eds.), International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2017 (Vol. 1978). [100009] (AIP Conference Proceedings; Vol. 1978). American Institute of Physics. https://doi.org/10.1063/1.5043753

Vancouver

Alesova IM, Babadzanjanz LK, Bregman AM, Bregman KM, Pototskaya IY, Pupysheva YY et al. Piecewise constant control of linear mechanical systems in the general case. In Tsitouras C, Simos T, Simos T, Simos T, Simos T, Simos T, editors, International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2017. Vol. 1978. American Institute of Physics. 2018. 100009. (AIP Conference Proceedings). https://doi.org/10.1063/1.5043753

Author

Alesova, I. M. ; Babadzanjanz, L. K. ; Bregman, A. M. ; Bregman, K. M. ; Pototskaya, I. Yu ; Pupysheva, Yu Yu ; Saakyan, A. T. / Piecewise constant control of linear mechanical systems in the general case. International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2017. editor / Charalambos Tsitouras ; Theodore Simos ; Theodore Simos ; Theodore Simos ; Theodore Simos ; Theodore Simos. Vol. 1978 American Institute of Physics, 2018. (AIP Conference Proceedings).

BibTeX

@inproceedings{1c236430648040eba3843973f5333ceb,
title = "Piecewise constant control of linear mechanical systems in the general case",
abstract = "The optimal controlled motion of a mechanical system, that is determined by the linear system ODE with constant coefficients and piecewise constant control components, is considered. The number of control switching points and the heights of control steps are considered as preset. The optimized functional is equal to the total area of all steps of all control components ({"}Expenditure criteria{"}). In the absence of control, the solution of the system is equal to the sum of the components (frequency components) corresponding to different eigenvalues of the matrix of the system. Admissible controls are those that turn to zero (at a non predetermined time moment) the previously chosen frequency components of the solution. An algorithm for the finding of control switching points, based on the necessary minimum conditions for Expenditure criteria, is proposed.",
author = "Alesova, {I. M.} and Babadzanjanz, {L. K.} and Bregman, {A. M.} and Bregman, {K. M.} and Pototskaya, {I. Yu} and Pupysheva, {Yu Yu} and Saakyan, {A. T.}",
year = "2018",
month = jul,
day = "10",
doi = "10.1063/1.5043753",
language = "English",
volume = "1978",
series = "AIP Conference Proceedings",
publisher = "American Institute of Physics",
editor = "Charalambos Tsitouras and Theodore Simos and Theodore Simos and Theodore Simos and Theodore Simos and Theodore Simos",
booktitle = "International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2017",
address = "United States",
note = "15th International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2017 ; Conference date: 25-09-2017 Through 30-09-2017",

}

RIS

TY - GEN

T1 - Piecewise constant control of linear mechanical systems in the general case

AU - Alesova, I. M.

AU - Babadzanjanz, L. K.

AU - Bregman, A. M.

AU - Bregman, K. M.

AU - Pototskaya, I. Yu

AU - Pupysheva, Yu Yu

AU - Saakyan, A. T.

PY - 2018/7/10

Y1 - 2018/7/10

N2 - The optimal controlled motion of a mechanical system, that is determined by the linear system ODE with constant coefficients and piecewise constant control components, is considered. The number of control switching points and the heights of control steps are considered as preset. The optimized functional is equal to the total area of all steps of all control components ("Expenditure criteria"). In the absence of control, the solution of the system is equal to the sum of the components (frequency components) corresponding to different eigenvalues of the matrix of the system. Admissible controls are those that turn to zero (at a non predetermined time moment) the previously chosen frequency components of the solution. An algorithm for the finding of control switching points, based on the necessary minimum conditions for Expenditure criteria, is proposed.

AB - The optimal controlled motion of a mechanical system, that is determined by the linear system ODE with constant coefficients and piecewise constant control components, is considered. The number of control switching points and the heights of control steps are considered as preset. The optimized functional is equal to the total area of all steps of all control components ("Expenditure criteria"). In the absence of control, the solution of the system is equal to the sum of the components (frequency components) corresponding to different eigenvalues of the matrix of the system. Admissible controls are those that turn to zero (at a non predetermined time moment) the previously chosen frequency components of the solution. An algorithm for the finding of control switching points, based on the necessary minimum conditions for Expenditure criteria, is proposed.

UR - http://www.scopus.com/inward/record.url?scp=85047176395&partnerID=8YFLogxK

U2 - 10.1063/1.5043753

DO - 10.1063/1.5043753

M3 - Conference contribution

AN - SCOPUS:85047176395

VL - 1978

T3 - AIP Conference Proceedings

BT - International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2017

A2 - Tsitouras, Charalambos

A2 - Simos, Theodore

A2 - Simos, Theodore

A2 - Simos, Theodore

A2 - Simos, Theodore

A2 - Simos, Theodore

PB - American Institute of Physics

T2 - 15th International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2017

Y2 - 25 September 2017 through 30 September 2017

ER -

ID: 36459520