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Linear Port-Hamiltonian Systems on Infinite-dimensional Spaces

2012-06-13 Science
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Release : 2012-06-13
Genre : Science
Kind : eBook
Book Rating : 990/5 ( reviews)

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Book Synopsis Linear Port-Hamiltonian Systems on Infinite-dimensional Spaces by : Birgit Jacob

Download or read book Linear Port-Hamiltonian Systems on Infinite-dimensional Spaces written by Birgit Jacob. This book was released on 2012-06-13. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a self-contained introduction to the theory of infinite-dimensional systems theory and its applications to port-Hamiltonian systems. The textbook starts with elementary known results, then progresses smoothly to advanced topics in current research. Many physical systems can be formulated using a Hamiltonian framework, leading to models described by ordinary or partial differential equations. For the purpose of control and for the interconnection of two or more Hamiltonian systems it is essential to take into account this interaction with the environment. This book is the first textbook on infinite-dimensional port-Hamiltonian systems. An abstract functional analytical approach is combined with the physical approach to Hamiltonian systems. This combined approach leads to easily verifiable conditions for well-posedness and stability. The book is accessible to graduate engineers and mathematicians with a minimal background in functional analysis. Moreover, the theory is illustrated by many worked-out examples.

Port-Hamiltonian Systems Theory

2014-06-13 Technology & Engineering
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Release : 2014-06-13
Genre : Technology & Engineering
Kind : eBook
Book Rating : 860/5 ( reviews)

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Book Synopsis Port-Hamiltonian Systems Theory by : Schaft Van Der

Download or read book Port-Hamiltonian Systems Theory written by Schaft Van Der. This book was released on 2014-06-13. Available in PDF, EPUB and Kindle. Book excerpt: Port-Hamiltonian Systems Theory: An Introductory Overview provides a concise and easily accessible description of the foundations underpinning the subject and emphasizes novel developments in the field, which will be of interest to a broad range of researchers.

Modeling and Control of Complex Physical Systems

2009-10-15 Technology & Engineering
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Release : 2009-10-15
Genre : Technology & Engineering
Kind : eBook
Book Rating : 96X/5 ( reviews)

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Book Synopsis Modeling and Control of Complex Physical Systems by : Vincent Duindam

Download or read book Modeling and Control of Complex Physical Systems written by Vincent Duindam. This book was released on 2009-10-15. Available in PDF, EPUB and Kindle. Book excerpt: Energy exchange is a major foundation of the dynamics of physical systems, and, hence, in the study of complex multi-domain systems, methodologies that explicitly describe the topology of energy exchanges are instrumental in structuring the modeling and the computation of the system's dynamics and its control. This book is the outcome of the European Project "Geoplex" (FP5 IST-2001-34166) that studied and extended such system modeling and control methodologies. This unique book starts from the basic concept of port-based modeling, and extends it to port-Hamiltonian systems. This generic paradigm is applied to various physical domains, showing its power and unifying flexibility for real multi-domain systems.

Model Reduction of Port-Hamiltonian Systems

2010
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Release : 2010
Genre :
Kind : eBook
Book Rating : 426/5 ( reviews)

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Book Synopsis Model Reduction of Port-Hamiltonian Systems by : Rostyslav Valentynovych Polyuga

Download or read book Model Reduction of Port-Hamiltonian Systems written by Rostyslav Valentynovych Polyuga. This book was released on 2010. Available in PDF, EPUB and Kindle. Book excerpt:

L2 - Gain and Passivity Techniques in Nonlinear Control

2012-12-06 Technology & Engineering
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Release : 2012-12-06
Genre : Technology & Engineering
Kind : eBook
Book Rating : 079/5 ( reviews)

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Book Synopsis L2 - Gain and Passivity Techniques in Nonlinear Control by : Arjan van der Schaft

Download or read book L2 - Gain and Passivity Techniques in Nonlinear Control written by Arjan van der Schaft. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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