We consider a problem of asymptotic stabilization of a linear system state within a given stationary ellipsoid with simultaneous evasion of interception by an arbitrary number of moving ellipsoids. A nonlinear control law in closed form that locally solves such task is derived using quadratic programming (QP) framework with control Lyapunov function (CLF) and control barrier function (CBF) constraints. Conservative domain of initial conditions, from which the problem under consideration can be solved using the proposed control law, is obtained. Theoretical result is illustrated by a numerical example, in which a linear system counteracts interceptors based on parallel navigation method.