Linear Port-Hamiltonian Systems on Infinite-dimensional Spaces

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

Linear Port-Hamiltonian Systems on Infinite-dimensional Spaces - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Linear Port-Hamiltonian Systems on Infinite-dimensional Spaces write by Birgit Jacob. This book was released on 2012-06-13. Linear Port-Hamiltonian Systems on Infinite-dimensional Spaces available in PDF, EPUB and Kindle. 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

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

Port-Hamiltonian Systems Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Port-Hamiltonian Systems Theory write by Schaft Van Der. This book was released on 2014-06-13. Port-Hamiltonian Systems Theory available in PDF, EPUB and Kindle. 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.

System Theoretical Properties of Linear Port-Hamiltonian Systems on Infinite-dimensional Spaces

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Release : 2021
Genre : Hamiltonian systems
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Book Rating : /5 ( reviews)

System Theoretical Properties of Linear Port-Hamiltonian Systems on Infinite-dimensional Spaces - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook System Theoretical Properties of Linear Port-Hamiltonian Systems on Infinite-dimensional Spaces write by Julia Theresa Kaiser. This book was released on 2021. System Theoretical Properties of Linear Port-Hamiltonian Systems on Infinite-dimensional Spaces available in PDF, EPUB and Kindle.

Control Theory of Infinite-Dimensional Systems

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Release : 2020-06-25
Genre : Science
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Book Rating : 984/5 ( reviews)

Control Theory of Infinite-Dimensional Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Control Theory of Infinite-Dimensional Systems write by Joachim Kerner. This book was released on 2020-06-25. Control Theory of Infinite-Dimensional Systems available in PDF, EPUB and Kindle. This book presents novel results by participants of the conference “Control theory of infinite-dimensional systems” that took place in January 2018 at the FernUniversität in Hagen. Topics include well-posedness, controllability, optimal control problems as well as stability of linear and nonlinear systems, and are covered by world-leading experts in these areas. A distinguishing feature of the contributions in this volume is the particular combination of researchers from different fields in mathematics working in an interdisciplinary fashion on joint projects in mathematical system theory. More explicitly, the fields of partial differential equations, semigroup theory, mathematical physics, graph and network theory as well as numerical analysis are all well-represented.

Introduction to Infinite-Dimensional Systems Theory

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Release : 2020-04-05
Genre : Science
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Book Rating : 909/5 ( reviews)

Introduction to Infinite-Dimensional Systems Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Introduction to Infinite-Dimensional Systems Theory write by Ruth Curtain. This book was released on 2020-04-05. Introduction to Infinite-Dimensional Systems Theory available in PDF, EPUB and Kindle. Infinite-dimensional systems is a well established area of research with an ever increasing number of applications. Given this trend, there is a need for an introductory text treating system and control theory for this class of systems in detail. This textbook is suitable for courses focusing on the various aspects of infinite-dimensional state space theory. This book is made accessible for mathematicians and post-graduate engineers with a minimal background in infinite-dimensional system theory. To this end, all the system theoretic concepts introduced throughout the text are illustrated by the same types of examples, namely, diffusion equations, wave and beam equations, delay equations and the new class of platoon-type systems. Other commonly met distributed and delay systems can be found in the exercise sections. Every chapter ends with such a section, containing about 30 exercises testing the theoretical concepts as well. An extensive account of the mathematical background assumed is contained in the appendix.