✦ LIBER ✦

Graph-theoretic characterization of fixed modes in frequency domain

✍ Scribed by Jaesop Kong; Jin H. Seo

Publisher: Elsevier Science
Year: 1996
Tongue: English
Weight: 488 KB
Volume: 32
Category: Article
ISSN: 0005-1098
DOI: 10.1016/0005-1098(96)00041-6

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✦ Synopsis

We examine a characterization of fixed modes in a frequency-domain framework based on the graphical representation of systems with multiple poles. We present a graph-theoretic characterization of the characteristic polynomials of closed-loop systems under arbitrary structural constraints. Based on this characterization, fixed modes are characterized using the weight products of l-factors of the weighted directed graphs associated with closed-loop systems. It is also shown that the well-known characterization of fixed modes in terms of transmission zeros can be derived from the proposed graph-theoretic characterization.

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