Old and New Perspectives on the Positive-real Lemma in Systems and Control Theory

DOI<link itemprop=identifier href="https://doi.org/10.1002/(SICI)1521-4001(199909)79:9<579::AID-ZAMM579>3.0.CO;2-8" /><579::AID-ZAMM579>3.0.CO;2-8 10.1002/(SICI)1521-4001(199909)79:9<579::AID-ZAMM579>3.0.CO;2-8zbMath0961.93045OpenAlexW2035667041MaRDI QIDQ4700445

Ruth F. Curtain

Publication date: 1 November 1999

Full work available at URL: https://doi.org/10.1002/(sici)1521-4001(199909)79:9<579::aid-zamm579>3.0.co;2-8

zbMATH Keywords

surveyabsolute stabilityLur'e problempositive-real lemmaKalmna-Yakubovich-Popov lemmaPopov's theorems

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Popov-type stability of feedback systems (93D10) Research exposition (monographs, survey articles) pertaining to systems and control theory (93-02)

Related Items (6)

Some spectral properties of operator-valued positive-real functions ⋮ A delay-dependent passivity criterion of linear neutral delay systems ⋮ Kalman-Popov-Yakubovich Lemma and the \(S\)-procedure: a historical essay ⋮ Model order reduction with preservation of passivity, non-expansivity and Markov moments ⋮ Transfer functions of infinite-dimensional systems: positive realness and stabilization ⋮ Asymptotic stability of Webster-Lokshin equation

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