Zobrazeno 1 - 10
of 17
pro vyhledávání: '"O. Yu Cherkasov"'
Publikováno v:
Nonlinear Dynamics. 111:243-254
Autor:
O. Yu. Cherkasov, N.V. Smirnova
Publikováno v:
International Journal of Non-Linear Mechanics. 139:103871
The problem of maximizing the horizontal coordinate of a point moving in a vertical plane under the action of gravity forces, viscous friction, and the interrelated Brachistochrone problem are investigated. It is assumed that inequality-type constrai
Autor:
N.V. Smirnova, O. Yu. Cherkasov
Publikováno v:
Engineering Journal: Science and Innovation.
The paper considers a brachistochrone problem modification including in the objective function a fuel consumption penalty apart from the process time. The material point moves in a vertical plane under gravity, viscous nonlinear friction and traction
Autor:
O. Yu. Cherkasov, E.I. Makieva
Publikováno v:
Engineering Journal: Science and Innovation.
The paper analyzes a nonlinear problem of optimal rendezvous of two material points in the horizontal plane. The velocity of both participants is constant modulo. The aim of control is to minimize the final distance between participants under given i
Autor:
O. Yu. Cherkasov, A. V. Zarodnyuk
Publikováno v:
IFAC-PapersOnLine. 51:630-635
The problem of maximization of the horizontal coordinate and minimization of the fuel expenditures of mass-point moving in the vertical plane driven by gravity, linear and quadratic viscous drag, and thrust is considered. The slope angle and the thru
Autor:
O. Yu. Cherkasov, A. V. Zarodnyuk
Publikováno v:
Journal of Computer and Systems Sciences International. 56:553-560
The problem of maximizing the horizontal coordinate of a point moving in the vertical plane driven by gravity, viscous friction, which is proportional to the nth degree of the velocity, and an accelerating force is considered, along with the related
Autor:
A. V. Zarodnyuk, O. Yu. Cherkasov
Publikováno v:
Moscow University Mechanics Bulletin. 70:70-74
A brachistochrone problem is considered for a medium with linear viscous friction. The optimal control problem is reduced to a boundary value problem for a system of two nonlinear differential equations. The trajectories of motion are qualitatively a
Autor:
A. V. Zarodnyuk, O. Yu. Cherkasov
Publikováno v:
Journal of Computer and Systems Sciences International. 54:39-47
The problem of maximization of the horizontal range and minimization of time for a point mass moving in a resisting medium is analyzed. Various models of medium resistance are considered. Using Pontryagin's maximum principle, the optimal control prob
Autor:
O. Yu. Cherkasov, A. V. Zarodnyuk
Publikováno v:
IFAC-PapersOnLine. 48:1018-1023
The range maximization problem and corresponding the brachistochrone problem with Coulomb and viscous friction are considered. A maximum principle procedure allows to reduce optimal control problem to the boundary-value problem for a system of two no
Publikováno v:
AIP Conference Proceedings.
The range maximization problem and corresponding the brachistochrone problem with Coulomb, viscous friction and accelerating force are considered. A Maximum Principle procedure is applied to reduce optimal problem to the boundary-value problem for th