A theory of passive linear systems with no assumptions

• Autores: Timothy H. Hughes
• Localización: Automatica: A journal of IFAC the International Federation of Automatic Control, ISSN 0005-1098, Vol. 86, 2017, págs. 87-97
• Idioma: inglés
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• Resumen

  • Abstract We present two linked theorems on passivity: the passive behavior theorem, parts 1 and 2. Part 1 provides necessary and sufficient conditions for a general linear system, described by a set of high order differential equations, to be passive. Part 2 extends the positive-real lemma to include uncontrollable and unobservable state-space systems.