Characterizing families of positive real matrices by matrix substitutions on scalar rational functions

DOI10.1016/j.sysconle.2006.05.001zbMath1113.93092OpenAlexW2095408949MaRDI QIDQ875136

Vladimír Kučera, Guillermo Fernández-Anaya, Juan Carlos Martínez-García

Publication date: 11 April 2007

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

Full work available at URL: https://doi.org/10.1016/j.sysconle.2006.05.001

zbMATH Keywords

robustnesscircle criterionlinear time-invariant systemsKalman-Yakubovich-Popov Lemmamatrix positive real substitutionsproperties preservation

Mathematics Subject Classification ID

Sensitivity (robustness) (93B35) Design techniques (robust design, computer-aided design, etc.) (93B51) Linear systems in control theory (93C05) Asymptotic stability in control theory (93D20)

Related Items (3)

Frequency-domain L 2-stability conditions for time-varying linear and nonlinear MIMO systems ⋮ Properties of strictly positive real functions: products and compositions ⋮ Stabilization and passification of distributed-order fractional linear systems using methods of preservation

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