Periodic stabilizing matrices: A monodromy matrix approach

Abstract

The construction of time-periodic stabilizing matrices by the monodromy matrix approach is presented, the time-periodic stabilizing matrices are a special case of time-varying stabilizing matrices formulated in the Brockett problem, a open problem in control theory; a practical example about construction of time-periodic stabilizing matrix for the vertical stabilization of the pendulum with oscillating pivot is given.