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