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arXiv 2111.04059eess.SYcs.SY
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强可达子空间的一个矩阵论刻画

A matrix theoretic characterization of the strongly reachable subspace

Imrul Qais, Chayan Bhawal, Debasattam Pal

摘要:

在本文中,我们提供了新的特征的弱不可观测和强可达的子空间对应于一个给定的状态空间系统。这些特征为所述子空间提供了封闭形式的表示。在这个过程中,我们建立了强可达子空间是密切相关的可容许脉冲输入空间。我们还展示了如何从系统的传递矩阵计算这些子空间的维数。

英文摘要:

In this paper, we provide novel characterizations of the weakly unobservable and the strongly reachable subspaces corresponding to a given state-space system. These characterizations provide closed-form representations for the said subspaces. In this process, we establish that the strongly reachable subspace is intimately related to the space of admissible impulsive inputs. We also show how to calculate the dimensions of these subspaces from the transfer matrix of the system.

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。

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