Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review
Expenditure Optimization in a Problem of Controlled Motion of Mechanical Systems. / Babadzanjanz, L.K.; Pototskaya, I.Yu.; Pupysheva, Yu.Yu.
AIP Conference Proceedings, 2016. American Institute of Physics, 2016. p. 1-4.Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review
}
TY - GEN
T1 - Expenditure Optimization in a Problem of Controlled Motion of Mechanical Systems
AU - Babadzanjanz, L.K.
AU - Pototskaya, I.Yu.
AU - Pupysheva, Yu.Yu.
PY - 2016
Y1 - 2016
N2 - © 2016 Author(s).The controlled motion which is represented by the linear ODE system with constant coefficients is considered. The admissible control is a piecewise constant 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 is proposed which leads to explicit formulas. All results of research are formulated as the theorem. These results can be applied not only in mechanical controlled systems, but also in any problem that can be described by the system of ordinary differential equations with control.
AB - © 2016 Author(s).The controlled motion which is represented by the linear ODE system with constant coefficients is considered. The admissible control is a piecewise constant 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 is proposed which leads to explicit formulas. All results of research are formulated as the theorem. These results can be applied not only in mechanical controlled systems, but also in any problem that can be described by the system of ordinary differential equations with control.
U2 - 10.1063/1.4951941
DO - 10.1063/1.4951941
M3 - Conference contribution
SN - 9780735413924
SP - 1
EP - 4
BT - AIP Conference Proceedings, 2016
PB - American Institute of Physics
T2 - International Conference of Numerical Analysis and Applied Mathematics 2015, ICNAAM 2015
Y2 - 23 September 2015 through 29 September 2015
ER -
ID: 7584219