Kolmogorov n-widths for linear dynamical systems

Key Points

• Kolmogorov n-widths provide a critical measure of approximation for linear dynamical systems, enhancing efficiency in control methods.
• An important metric reveals that the n-width can significantly influence system behavior within dynamic contexts.
• Assessment of approximation quality considering various configurations of linear dynamical systems showcases the effectiveness of specific methods.
• This insight supports improved modeling, yet real-world application may require additional validation beyond theoretical frameworks.