L2-gain And Passivity Techniques In Nonlinear Control by Arjan van der SchaftL2-gain And Passivity Techniques In Nonlinear Control by Arjan van der Schaft

L2-gain And Passivity Techniques In Nonlinear Control

byArjan van der Schaft

Hardcover | December 15, 2016

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With respect to the first edition as Volume 218 in the Lecture Notes in Con­ trol and Information Sciences series the basic idea of the second edition has remained the same: to provide a compact presentation of some basic ideas in the classical theory of input-output and closed-loop stability, together with a choice of contributions to the recent theory of nonlinear robust and 1foo control and passivity-based control. Nevertheless, some parts of the book have been thoroughly revised and/or expanded, in order to have a more balanced presen­ tation of the theory and to include some of the new developments which have been taken place since the appearance of the first edition. I soon realized, how­ ever, that it is not possible to give a broad exposition of the existing literature in this area without affecting the spirit of the book, which is precisely aimed at a compact presentation. So as a result the second edition still reflects very much my personal taste and research interests. I trust that others will write books emphasizing different aspects. Major changes with respect to the first edition are the following: . A new section has been added in Chapter 2 relating L2-gain and passivity via scattering, emphasizing a coordinate-free, geometric, treatment. . The section on stability in Chapter 3 has been thoroughly expanded, also incorporating some recent results presented in [182J.
A.J. (Arjan) van der Schaft (1955) received the undergraduate and Ph.D. degrees in Mathematics from the University of Groningen, The Netherlands, in 1979 and 1983, respectively. In 1982 he joined the Department of Applied Mathematics, University of Twente, Enschede, where he was appointed as a full professor in Mathematical Systems and...
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Title:L2-gain And Passivity Techniques In Nonlinear ControlFormat:HardcoverDimensions:321 pagesPublished:December 15, 2016Publisher:Springer-Verlag/Sci-Tech/TradeLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:3319499912

ISBN - 13:9783319499918

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Table of Contents

Chapter 1: Input-Output Stability.- Chapter 2: Small-Gain and Passivity of Input-Output Maps.- Chapter 3: Dissipative Systems Theory.- Chapter 4: Passivity.- Chapter 5: Passivity by Feedback.- Chapter 6: Port-Hamiltonian Systems.- Chapter 7: Port-Hamiltonian Network Dynamics.- Chapter 8: L2-Gain and the Small Gain Theorem.- Chapter 9: Factorizations of Nonlinear Systems.- Chapter 10: Nonlinear H-infinity Control.-Chapter 11: Hamilton-Jacobi Inequalities.