On the solvability of the positive real lemma equations.

DOI10.1016/S0167-6911(02)00189-5zbMath1106.93317WikidataQ124879938 ScholiaQ124879938MaRDI QIDQ1853418

Augusto Ferrante, Luciano Pandolfi

Publication date: 21 January 2003

Published in: Systems \& Control Letters (Search for Journal in Brave)

zbMATH Keywords

Linear systemsSpectral factorizationLur'e equationsPositive real lemmaFrequency characteristic

Mathematics Subject Classification ID

Linear systems in control theory (93C05) Algebraic methods (93B25)

Related Items (3)

A theory of passive linear systems with no assumptions ⋮ On pseudo-spectral factorization over the complex numbers and quaternions ⋮ The positive real lemma and construction of all realizations of generalized positive rational functions

Cites Work

• Absolute stability of nonlinear systems of automatic control
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• Synthesis of a Finite Two-terminal Network whose Driving-point Impedance is a Prescribed Function of Frequency
• On Kalman-Yakubovich-Popov lemma for stabilizable systems
• An observation on the positive real lemma
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