  The paper is devoted to a design of a common bounded feedback control
steering a system of an arbitrary number of linear oscillators to the
equilibrium. At high energies, the control is based on the asymptotic theory of
reachable sets of linear systems. With decreasing of the energy, a similar
control with a reduced upper bound is used. On the final stage, the control is
constructed by using the method of common Lyapunov functions. Special attention
is paid to the cases of one and two oscillators.
