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L2-gain and Passivity Techniques in Nonlinear Control, Hardcover by Van Der S...

Description: L2-gain and Passivity Techniques in Nonlinear Control, Hardcover by Van Der Schaft, Arjan, ISBN 3319499912, ISBN-13 9783319499918, Brand New, Free shipping in the US

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 th 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

Th 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.

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End Time: 2024-09-16T10:16:49.000Z

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L2-gain and Passivity Techniques in Nonlinear Control, Hardcover by Van Der S...

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Book Title: L2-gain and Passivity Techniques in Nonlinear Control

Number of Pages: Xviii, 321 Pages

Publication Name: L₂-Gain and Passivity Techniques in Nonlinear Control

Language: English

Publisher: Springer International Publishing A&G

Subject: Engineering (General), Automation, Intelligence (Ai) & Semantics, Mechanics / Dynamics, Electrical

Publication Year: 2016

Type: Textbook

Item Weight: 223.2 Oz

Item Length: 9.3 in

Author: Arjan Van Der Schaft

Subject Area: Computers, Technology & Engineering, Science

Item Width: 6.1 in

Series: Communications and Control Engineering Ser.

Format: Hardcover

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