L2-Gain and Passivity Techniques in Nonlinear Control

Author:   Arjan van der Schaft
Publisher:   Springer International Publishing AG
Edition:   Softcover reprint of the original 3rd ed. 2017
ISBN:  

9783319842943


Pages:   321
Publication Date:   05 July 2018
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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L2-Gain and Passivity Techniques in Nonlinear Control


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Author:   Arjan van der Schaft
Publisher:   Springer International Publishing AG
Imprint:   Springer International Publishing AG
Edition:   Softcover reprint of the original 3rd ed. 2017
Dimensions:   Width: 15.50cm , Height: 1.80cm , Length: 23.50cm
Weight:   0.522kg
ISBN:  

9783319842943


ISBN 10:   3319842943
Pages:   321
Publication Date:   05 July 2018
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

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.

Reviews

“The book presents a well written and systematically organized text focused on a unified treatment of classical input-output stability theory and recent results in nonlinear robust and passivity-based control. … The book will be useful to advanced graduate students, researchers and applied mathematicians interested in this emerging area.” (Lubomír Bakule, zbMath 1410.93004, 2019) “This text is sure to continue to be one of the go-to references for nonlinear control researchers and practitioners interested in both the classical and modern interpretations and applications of L2-gain and passivity methods for nonlinear systems.” (James Richard Forbes, IEEE Control Systems Magazine, December, 2017)


This text is sure to continue to be one of the go-to references for nonlinear control researchers and practitioners interested in both the classical and modern interpretations and applications of L2-gain and passivity methods for nonlinear systems. (James Richard Forbes, IEEE Control Systems Magazine, December, 2017)


Author Information

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 Control Theory in 2000. In September 2005 he returned to Groningen as a full professor in Mathematics. He has served as Associate Editor for Systems & Control Letters, Journal of Nonlinear Science, SIAM Journal on Control and Optimization, IEEE Transactions on Automatic Control and the European Journal of Control. Currently he is on the Editorial Board for the Journal of Geometric Mechanics and Annual Reviews in Control. Arjan van der Schaft is Fellow of the Institute of Electrical and Electronics Engineers (IEEE) and of the International Federation of Automatic Control (IFAC). He was Invited Lecturer at the International Congress of Mathematicians, Madrid, Spain, 2006. He is the 2013 recipient of the 3-yearly awarded Certificate of Excellent Achievements} of the IFAC Technical Committee on Nonlinear Systems.  Arjan van der Schaft is (co-)author of the following other books: System Theoretic Descriptions of Physical Systems (1984), Variational and Hamiltonian Control Systems (1987, with P.E. Crouch), Nonlinear Dynamical Control Systems (1990, with H. Nijmeijer), An Introduction to Hybrid Dynamical Systems (2000, with J.M. Schumacher), Modeling and Control of Complex Physical Systems: the Port-Hamiltonian Approach( Geoplex Consortium, 2009), and Port-Hamiltonian Systems Theory: An Introductory Overview (2014, with D. Jeltsema). He (co-)edited five conference proceedings. He (co-)authored around 125 journal articles and 265 refereed contributions to proceedings or book chapters.

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