1997 | OriginalPaper | Buchkapitel
Passivity Concepts as Design Tools
verfasst von : Dr R. Sepulchre, Dr M. Janković, Professor P. V. Kokotović
Erschienen in: Constructive Nonlinear Control
Verlag: Springer London
Enthalten in: Professional Book Archive
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Only a few system theory concepts can match passivity in its physical and intuitive appeal. This explains the longevity of the passivity concept from the time of its first appearance some 60 years ago, to its current use as a tool for nonlinear feedback design. The pioneering results of Lurie and Popov, summarized in the monographs by Aizerman and Gantmacher [3], and Popov [88], were extended by Yakubovich [121], Kalman [51], Zames [123], Willems [120], and Hill and Moylan [37], among others. The first three sections of this chapter are based on these references from which we extract, and at times reformulate, the most important concepts and system properties to be used in the rest of the book.