Linear Port Hamiltonian Systems On Infinite Dimensional Spaces PDF Download
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| Author | : Birgit Jacob |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 221 |
| Release | : 2012-06-13 |
| Genre | : Science |
| ISBN | : 3034803990 |
Download Linear Port-Hamiltonian Systems on Infinite-dimensional Spaces Book 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.
| Author | : Julia Theresa Kaiser |
| Publisher | : |
| Total Pages | : |
| Release | : 2021 |
| Genre | : Hamiltonian systems |
| ISBN | : |
Download System Theoretical Properties of Linear Port-Hamiltonian Systems on Infinite-dimensional Spaces Book in PDF, ePub and Kindle
| Author | : Sergej B. Kuksin |
| Publisher | : Springer |
| Total Pages | : 128 |
| Release | : 2006-11-15 |
| Genre | : Mathematics |
| ISBN | : 3540479201 |
Download Nearly Integrable Infinite-Dimensional Hamiltonian Systems Book in PDF, ePub and Kindle
The book is devoted to partial differential equations of Hamiltonian form, close to integrable equations. For such equations a KAM-like theorem is proved, stating that solutions of the unperturbed equation that are quasiperiodic in time mostly persist in the perturbed one. The theorem is applied to classical nonlinear PDE's with one-dimensional space variable such as the nonlinear string and nonlinear Schr|dinger equation andshow that the equations have "regular" (=time-quasiperiodic and time-periodic) solutions in rich supply. These results cannot be obtained by other techniques. The book will thus be of interest to mathematicians and physicists working with nonlinear PDE's. An extensivesummary of the results and of related topics is provided in the Introduction. All the nontraditional material used is discussed in the firstpart of the book and in five appendices.
| Author | : P.R. Chernoff |
| Publisher | : Springer |
| Total Pages | : 165 |
| Release | : 2006-11-15 |
| Genre | : Mathematics |
| ISBN | : 3540372873 |
Download Properties of Infinite Dimensional Hamiltonian Systems Book in PDF, ePub and Kindle
| Author | : Paul R. Chernoff |
| Publisher | : |
| Total Pages | : 160 |
| Release | : 1974 |
| Genre | : Dynamics |
| ISBN | : |
Download Properties of Infinite Dimensional Hamiltonian Systems Book in PDF, ePub and Kindle
| Author | : Schaft Van Der |
| Publisher | : |
| Total Pages | : 230 |
| Release | : 2014-06-13 |
| Genre | : Technology & Engineering |
| ISBN | : 9781601987860 |
Download Port-Hamiltonian Systems Theory Book 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.
| Author | : Joachim Kerner |
| Publisher | : Springer Nature |
| Total Pages | : 194 |
| Release | : 2020-06-25 |
| Genre | : Science |
| ISBN | : 3030358984 |
Download Control Theory of Infinite-Dimensional Systems Book 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.
| Author | : Ruth Curtain |
| Publisher | : Springer Nature |
| Total Pages | : 759 |
| Release | : 2020-04-05 |
| Genre | : Science |
| ISBN | : 1071605909 |
Download Introduction to Infinite-Dimensional Systems Theory Book 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.
| Author | : Rudolf Schmid |
| Publisher | : |
| Total Pages | : 178 |
| Release | : 1987 |
| Genre | : Science |
| ISBN | : |
Download Infinite Dimensional Hamiltonian Systems Book in PDF, ePub and Kindle
| Author | : Jean Auriol |
| Publisher | : Springer Nature |
| Total Pages | : 301 |
| Release | : 2022-04-24 |
| Genre | : Technology & Engineering |
| ISBN | : 3030947661 |
Download Advances in Distributed Parameter Systems Book in PDF, ePub and Kindle
The proposed book presents recent breakthroughs for the control of distributed parameter systems and follows on from a workshop devoted to this topic. It introduces new and unified visions of the challenging control problems raised by distributed parameter systems. The book collects contributions written by prominent international experts in the control community, addressing a wide variety of topics. It spans the full range from theoretical research to practical implementation and follows three traverse axes: emerging ideas in terms of control strategies (energy shaping, prediction-based control, numerical control, input saturation), theoretical concepts for interconnected systems (with potential non-linear actuation dynamics), advanced applications (cable-operated elevators, traffic networks), and numerical aspects. Cutting-edge experts in the field contributed in this volume, making it a valuable reference source for control practitioners, graduate students, and scientists researching practical and theoretical solutions to the challenging problems raised by distributed parameter systems.
