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L2 - Gain and Passivity Techniques in Nonlinear Control : Communications and Control Engineering - Arjan J. van der Schaft

L2 - Gain and Passivity Techniques in Nonlinear Control

Communications and Control Engineering

Hardcover

Published: 1st November 1999
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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.

Input-Output Stability
Small-gain and Passivity of Input-Output Maps
Dissipative Systems Theory
Hamiltonian Systems as Passive Systems
Passivity by Feedback
Factorizations of Nonlinear Systems
Nonlinear H Control
Hamilton-Jacobi Inequalities
Bibliography
Index
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9781852330736
ISBN-10: 1852330732
Series: Communications and Control Engineering
Audience: General
Format: Hardcover
Language: English
Number Of Pages: 248
Published: 1st November 1999
Publisher: Springer London Ltd
Country of Publication: GB
Dimensions (cm): 24.77 x 16.51  x 1.91
Weight (kg): 0.52
Edition Number: 2
Edition Type: Revised