具有专用执行器和传感器的结构循环系统的最优反馈选择
Optimal Feedback Selection for Structurally Cyclic Systems with Dedicated Actuators and Sensors
摘要：
本文解决了线性定常结构系统稀疏反馈的选择问题，这是结构系统中一个长期存在的问题。我们考虑具有专用输入和输出的结构循环系统。我们证明了，找到一个稀疏反馈选择的情况下，结构循环系统与专用的输入和输出的线性复杂性。这一问题近年来受到了人们的关注，但在硬证明中的关键错误导致了错误的结论。这一点也在这篇简短的论文中进行了阐述，并给出了一个反例。
英文摘要：
This paper solves the sparsest feedback selection problem for linear time invariant structured systems, a long-standing open problem in structured systems. We consider structurally cyclic systems with dedicated inputs and outputs. We prove that finding a sparsest feedback selection is of linear complexity for the case of structurally cyclic systems with dedicated inputs and outputs. This problem has received attention recently but key errors in the hardness-proofs have resulted in an erroneous conclusion there. This is also elaborated in this brief paper together with a counter-example.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
