The paper raises an optimal impulsive control problem with trajectories of bounded variation described by a nonsmooth measure differential equation. The addressed singular problem of dynamic optimization can be equiva...
详细信息
This paper addresses a rather general fractional optimization problem. There are two ways to reduce the original problem. The first one is to solve the auxiliary problem with nonlinear nonconvex inequality constraints...
详细信息
The paper develops an algorithm for solving the two-dimensional nonlinear degenerate parabolic heat conduction equation with a source depending on required function, with a specified law of heat wave front motion. The...
The paper develops an algorithm for solving the two-dimensional nonlinear degenerate parabolic heat conduction equation with a source depending on required function, with a specified law of heat wave front motion. The algorithm based on the boundary element method is implemented in the form of a program. To verify it, we use exact solutions the construction of which is reducible to solving a Cauchy problem for ordinary differential equations with a singularity before the highest derivative. The solutions to the Cauchy problem are constructed in the form of power series with recurrently computed coefficients (with a proof of the statement providing its convergence) and by the boundary element method.
This paper addresses the nonconvex optimization problem with the cost function and the inequality and equality constraints given by d.c. functions. The problem is reduced to the one without constraints by the exact pe...
详细信息
This paper addresses the problems of fractional programming which data is given by d.c. functions. Such problems are, in general, nonconvex (with numerous local extrema). We develop an efficient global search method f...
详细信息
Flatness-based feed-forward control of solenoid actuators is considered. For precise motion planning and accurate steering of conventional solenoids, eddy currents cannot be neglected. The system of ordinary different...
详细信息
Flatness-based feed-forward control of solenoid actuators is considered. For precise motion planning and accurate steering of conventional solenoids, eddy currents cannot be neglected. The system of ordinary differential equations including eddy currents, that describes the nonlinear dynamics of such actuators, is not differentially flat. Thus, a distributed parameter approach based on a diffusion equation is considered, that enables the parametrization of the eddy current by the armature position and its time derivatives. In order to design the feedforward control, the distributed parameter model of the eddy current subsystem is combined with a typical nonlinear lumped parameter model for the electrical and mechanical subsystems of the solenoid. The control design and its application are illustrated by numerical and practical results for an industrial solenoid actuator.
This paper addresses numerical solution of a 3-player polymatrix game (hexamatrix game) which is is reduced to a special nonconvex optimization problem with a bilinear structure in the objective function. For the latt...
详细信息
This paper deals with optimal impulsive control problems whose states are functions of bounded variation and impulsive controls are regular vector measures. The problem under consideration has multipoint state constra...
Under study in the restricted formulation is the motion of a symmetrical prolate stationary gyrostat along a Keplerian circular orbit in a central Newtonian field of forces. An elastic homogeneous rod, rectilinear in ...
详细信息
In this paper, we study the dependencies of the number of symmetric and doubly symmetric diagonal Latin squares on the order N. Using fast generator of diagonal Latin squares (augmented by symmetry checker), we determ...
详细信息
In this paper, we study the dependencies of the number of symmetric and doubly symmetric diagonal Latin squares on the order N. Using fast generator of diagonal Latin squares (augmented by symmetry checker), we determined these dependencies for order at most 8. We also found a number of doubly symmetric diagonal Latin squares of orders 12, 16 and 20.
暂无评论