<p>In this paper, we investigate the trajectory controllability of second order delayed discrete systems, aided by the representation of the solution. By employing two delayed discrete matrix functions, we establish sufficient and necessary conditions for Kalman-type controllability criterion in general case and special case. Examples are provided to illustrate the effectiveness of our theoretical results.</p>

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Trajectory Controllability for Delayed Linear Discrete Systems with Second-Order Differences

  • Maosong Yang,
  • Michal Fečkan,
  • JinRong Wang

摘要

In this paper, we investigate the trajectory controllability of second order delayed discrete systems, aided by the representation of the solution. By employing two delayed discrete matrix functions, we establish sufficient and necessary conditions for Kalman-type controllability criterion in general case and special case. Examples are provided to illustrate the effectiveness of our theoretical results.