特殊稳定矩阵及其非方阵对应形式
Special Stable Matrices and Their Non-square Counterpart
AI总结：
本文探讨将D-稳定、对角占优及Volterra-Lyapunov稳定等特殊方阵扩展至非方阵，受分布式控制问题启发，建立条件联系并提出研究猜想。
摘要：
在本文中，我们讨论了若干重要的稳定方阵（例如D-稳定矩阵、对角占优矩阵、Volterra-Lyapunov稳定矩阵）向相应非方阵的扩展。该扩展受到一些分布式控制相关问题的启发，如非方阵过程的分散无条件稳定性和分散积分可控性。我们将提供这些特殊方阵条件与其相关非方阵对应形式之间的联系。针对这些特殊矩阵，我们提出了一些猜想以供未来研究。
英文摘要：
In this note, we discuss the extension of several important stable square matrices, e.g., D-stable matrices, diagonal dominance matrices, Volterra-Lyapunov stable matrices, to their corresponding non-square matrices. The extension is motivated by some distributed control-related problems, such as decentralized unconditional stability and decentralized integral controllability for non-square processes. We will provide the connections of conditions between these special square matrices and their associated non-square counterparts. Some conjectures for these special matrices are proposed for future research.
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。
