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Arjan van der Sch L2-Gain and Passivity Techniques in Nonlinear Cont (Hardback)

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Item specifics

Condition
Brand New: A new, unread, unused book in perfect condition with no missing or damaged pages. See all condition definitionsopens in a new window or tab
Book Title
L2-Gain and Passivity Techniques in Nonlinear Control
Title
L2-Gain and Passivity Techniques in Nonlinear Control
EAN
9783319499918
ISBN
9783319499918
Edition
3rd ed. 2017
Genre
Language & Reference
Topic
Technology & Engineering
Release Year
2016
Release Date
15/12/2016
Country/Region of Manufacture
CH
Item Length
155mm

About this product

Product Information

This standard text gives a unified treatment of passivity and L2-gain theory for nonlinear state space systems, preceded by a compact treatment of classical passivity and small-gain theorems for nonlinear input-output maps. The synthesis between passivity and L2-gain theory is provided by the theory of dissipative systems. Specifically, the small-gain and passivity theorems and their implications for nonlinear stability and stabilization are discussed from this standpoint. The connection between L2-gain and passivity via scattering is detailed. Feedback equivalence to a passive system and resulting stabilization strategies are discussed. The passivity concepts are enriched by a generalised Hamiltonian formalism, emphasising the close relations with physical modeling and control by interconnection, and leading to novel control methodologies going beyond passivity. The potential of L2-gain techniques in nonlinear control, including a theory of all-pass factorizations of nonlinear systems, and of parametrization of stabilizing controllers, is demonstrated. The nonlinear H-infinity optimal control problem is also treated and the book concludes with a geometric analysis of the solution sets of Hamilton-Jacobi inequalities and their relation with Riccati inequalities for the linearization. * L2-Gain and Passivity Techniques in Nonlinear Control (third edition) is thoroughly updated, revised, reorganized and expanded. Among the changes, readers will find: * updated and extended coverage of dissipative systems theory * substantial new material regarding converse passivity theorems and incremental/shifted passivity * coverage of recent developments on networks of passive systems with examples * a completely overhauled and succinct introduction to modeling and control of port-Hamiltonian systems, followed by an exposition of port-Hamiltonian formulation of physical network dynamics * updated treatment of all-pass factorization of nonlinear systems The book provides graduate students and researchers in systems and control with a compact presentation of a fundamental and rapidly developing area of nonlinear control theory, illustrated by a broad range of relevant examples stemming from different application areas.

Product Identifiers

Publisher
Springer International Publishing A&G
ISBN-13
9783319499918
eBay Product ID (ePID)
232634862

Product Key Features

Number of Pages
321 Pages
Publication Name
L2-Gain and Passivity Techniques in Nonlinear Control
Language
English
Subject
Computer Science
Publication Year
2016
Type
Textbook
Subject Area
Material Science, Mechanical Engineering
Author
Arjan Van Der Schaft
Series
Communications and Control Engineering
Format
Hardcover

Dimensions

Item Height
235 mm
Item Weight
6328 g
Item Width
155 mm

Additional Product Features

Country/Region of Manufacture
Switzerland
Title_Author
Arjan Van Der Schaft

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