Old and new perspectives on the positive-real-lemma in systems and control theory

Autor:	Curtain, RF
Přispěvatelé:	Faculty of Science and Engineering
Jazyk:	angličtina
Rok vydání:	1999
Předmět:	positive-real YAKUBOVICH-POPOV LEMMA POSED LINEAR-SYSTEMS infinite-dimensional linear systems STABILITY passivity SPECTRAL FACTORIZATION INFINITE-DIMENSIONAL SYSTEMS absolute stability Riccati equations control theory Lyapunov functions ALGEBRAIC RICCATI EQUATION
Zdroj:	Zeitschrift für Angewandte Mathematik und Mechanik, 79(9), 579-590
ISSN:	0044-2267
Popis:	This essay is based on an invited plenary lecture presented at the 1998 GAMM conference in Bremen, Germany. This was a survey of the historical development of the positive-real lemma, a key result in central theory: from its beginnings in 1962 up to June 1998. Particular emphasis was placed on Me physical motivation and the importance of this lemma to applications in control theory. The inclusion of recent extensions to infinite-dimensional systems represents the author's own research interests.
Databáze:	OpenAIRE
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