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L2 - Gain and Passivity Techniques in Nonlinear Control - Arjan van der Schaft

L2 - Gain and Passivity Techniques in Nonlinear Control

Buch | Hardcover
248 Seiten
1999 | 2nd ed. 2000
Springer London Ltd (Verlag)
978-1-85233-073-6 (ISBN)
CHF 224,65 inkl. MwSt
This text discusses fundamental theories of nonlinear control. It details the small-gain and passivity theorems, and recent developments in nonlinear passivity-based and robust H-infinity control. This edition also includes new material on feedback passifiability.
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.

1 Input-Output Stability.- 2 Small-gain and Passivity of Input-Output Maps.- 3 Dissipative Systems Theory.- 4 Hamiltonian Systems as Passive Systems.- 5 Passivity by Feedback.- 6 Factorizations of Nonlinear Systems.- 7 Nonlinear H? Control.- 8 Hamilton-Jacobi Inequalities.

Reihe/Serie Communications and Control Engineering
Zusatzinfo XII, 248 p.
Verlagsort England
Sprache englisch
Maße 155 x 235 mm
Themenwelt Informatik Theorie / Studium Künstliche Intelligenz / Robotik
Mathematik / Informatik Mathematik Angewandte Mathematik
Technik Elektrotechnik / Energietechnik
ISBN-10 1-85233-073-2 / 1852330732
ISBN-13 978-1-85233-073-6 / 9781852330736
Zustand Neuware
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