On Assignment of the Upper Bohl Exponent for Linear Discrete-Time Systems in Infinite-Dimensional Spaces

In this paper we study linear discrete-time control systems in infinite-dimensional spaces with periodically time-varying bounded input and output operators. For such systems we consider a problem of arbitrary assignability of the upper Bohl exponent by non-stationary linear static state feedback and by non-stationary linear dynamic output feedback. This is a generalization of the stabilization problem, which has been well studied for systems of various types. The main results present sufficient conditions for considered types of assignability.