论文标题
具有稀疏控件的线性动力学系统的输出可控性
Output Controllability of a Linear Dynamical System with Sparse Controls
论文作者
论文摘要
在本文中，我们研究了通过离散时间线性系统满足的条件，以确保使用稀疏控制输入的输出可控性。通过扩展Kalman等级测试以获得输出可控性，可以直接获得一组必要和充分的条件。但是，由于它们的联合性质，对这些条件的验证在计算上很重。因此，我们为输出稀疏可控性提供了非组合条件，可以通过多项式时间复杂性进行验证。我们的结果还提供了确保系统输出可控性所需的最小稀疏度的界限。这种额外的见解对于设计稀疏控制输入很有用，该输入将系统驱动到任何所需的输出。
In this paper, we study the conditions to be satisfied by a discrete-time linear system to ensure output controllability using sparse control inputs. A set of necessary and sufficient conditions can be directly obtained by extending the Kalman rank test for output controllability. However, the verification of these conditions is computationally heavy due to their combinatorial nature. Therefore, we derive non-combinatorial conditions for output sparse controllability which can be verified with polynomial time complexity. Our results also provide bounds on the minimum sparsity level required to ensure output controllability of the system. This additional insight is useful for designing sparse control input that drives the system to any desired output.
