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The problem of the existence and uniqueness of the motion of the system of anarbitrary number linear oscillators under a generalized dry-friction typecontrol is studied. This type of control arises in the problem of steering thesystem to equilibrium. The problem of existence and uniqueness of motion underthe suggested control is resolved within the framework of the DiPerna--Lionstheory of singular ordinary differential equations.

Motion of a system of oscillators under the generalized dry friction control