e-Article
On Assignment of the Upper Bohl Exponent for Linear Discrete-Time Systems in Infinite-Dimensional Spaces
Document Type
Conference
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Source
2021 25th International Conference on Methods and Models in Automation and Robotics (MMAR) Methods and Models in Automation and Robotics (MMAR), 2021 25th International Conference on. :239-244 Aug, 2021
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Abstract
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.