Abstract: Facility location problems form a broad class of optimization problems extremely popularin combinatorial optimization and operations research. In every facility location problem, one mustlocate a set of faci...
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This paper concerns with optimal impulsive control problems with trajectories of bounded variation. Necessary optimality conditions based on weakly monotone solutions of the Hamilton Jacobi inequality and feedback con...
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An extension to discontinuous inputs of bounded variation of the play operator is presented. The motivation for such an extension comes from optimal impulsive control problems with hysteresis. The latter is introduced...
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We study the possibility of constructing a Sobolev-Schwartz generalized solution to the problem A(t)x'(t) + B(t)x(t) = f(t), t G T = [0, + infinity), x(0) = a, whose coefficient (n x n)-matrix of derivatives is de...
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We study the possibility of constructing a Sobolev-Schwartz generalized solution to the problem A(t)x'(t) + B(t)x(t) = f(t), t G T = [0, + infinity), x(0) = a, whose coefficient (n x n)-matrix of derivatives is degenerate for every t is an element of T in the situation when there is no classical solution x(t) is an element of C-1(T) (the initial data do not satisfy the agreement conditions and the right-hand side is not a sufficiently smooth vector-function). We prove that the generalized solution is the limit of a sequence of classical solutions of the Cauchy problem for a system with constant coefficients, obtained by the perturbation method.
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 ...
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Numerical study is provided of the methods for solving the facility location problem when the clients choose some suppliers by their own preferences. Various formulations of this problem as an integer linear programmi...
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The problem is considered of the stabilization of a mechanical system having only nonconservative positional forces by adding gyroscopic forces. The gyroscopic stabilization is proved to be always realizable in the ca...
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We improve the available necessary conditions and sufficient conditions for the Dstability and additive D-stability of matrices. We define these dynamical properties with respect to a finite parallelepiped and propose...
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The paper suggests a framework of control synthesis (feedback) for differential systems driven by nonlinear impulses. We propose a simple but relevant notion of control synthesis and a related concept of sampling solu...
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Under consideration is the well-known problem of relative equilibria (an equilibrium position in the orbital coordinate system) of a gyrostat satellite and their dependence on the design parameters. A new geometric ap...
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