e-ISSN: Pending
Negative / Null Result ReportOpen accessMathematics

Phase limitations of multipliers at harmonics

William Paul Heath; Joaquin Carrasco; Jingfan Zhang · 2021 · arXiv

WASTE classifies this as Negative / Null Result Report · AI classification, approximate

The study found no significant effect — useful as a negative control or null benchmark for your own design.

Abstract (excerpt)

We present a phase condition under which there is no suitable multiplier for a given continuous-time plant. The condition can be derived from either the duality approach or from the frequency interval approach. The condition has a simple graphical interpretation, can be tested in a numerically efficient manner and may be applied systematically. Numerical examples show significant improvement over existing results in the literature. The condition is used to demonstrate a third order system with delay that is a counterexample to the Kalman Conjecture.

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Metadata source: arXiv