We suggest to apply the Bubnov–Galerkin method to solving control problems for bilinear
systems. We reduce the solution of a control problem to a finite-dimensional system of linear …

The problem of finite, partially glued to a fixed rigid base rod longitudinal vibrations damping
by optimizing adhesive structural topology is investigated. Vibrations of the rod are caused …

A new approach for investigating the exact controllability of the one-dimensional wave
equation with variable coefficients on a finite interval, subjected to boundary conditions of …

Множество прикладных задач, например таких, как оптимизация структуры и топологии
конструкций [1–4], некоторые процессы в квантомеханических системах, экологии …

Исследована оптимизация топологии линейно–упругого основания, распределенного
под однородную прямоугольную упругую пластинку постоянной толщины. Пластинка …

Some designs structural and topological optimization problems, which mathematically can
be formulated as bilinear control systems are considered. Specifically, by optimizing the …

Almost in every field of natural science we are concerned with this or that type of control
problem: human beings want to subject to himself and control everything from time …

Предлагается способ применения метода Бубнова–Галеркина для решения задач
управления для билинейных систем–систем с управляемым коэффициентом. В …