System Theoretical Properties of Linear Port-Hamiltonian Systems on Infinite-dimensional Spaces
Author | : Julia Theresa Kaiser |
Publisher | : |
Total Pages | : |
Release | : 2021 |
Genre | : Hamiltonian systems |
ISBN | : |
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Author | : Julia Theresa Kaiser |
Publisher | : |
Total Pages | : |
Release | : 2021 |
Genre | : Hamiltonian systems |
ISBN | : |
Author | : Birgit Jacob |
Publisher | : Springer Science & Business Media |
Total Pages | : 221 |
Release | : 2012-06-13 |
Genre | : Science |
ISBN | : 3034803990 |
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 | : P.R. Chernoff |
Publisher | : Springer |
Total Pages | : 165 |
Release | : 2006-11-15 |
Genre | : Mathematics |
ISBN | : 3540372873 |
Author | : Joachim Kerner |
Publisher | : Springer Nature |
Total Pages | : 194 |
Release | : 2020-06-25 |
Genre | : Science |
ISBN | : 3030358984 |
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 | : Schaft Van Der |
Publisher | : |
Total Pages | : 230 |
Release | : 2014-06-13 |
Genre | : Technology & Engineering |
ISBN | : 9781601987860 |
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 | : Sergej B. Kuksin |
Publisher | : Springer |
Total Pages | : 128 |
Release | : 2006-11-15 |
Genre | : Mathematics |
ISBN | : 3540479201 |
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 | : Ruth F. Curtain |
Publisher | : Springer Science & Business Media |
Total Pages | : 714 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 146124224X |
Infinite dimensional systems is now an established area of research. Given the recent trend in systems theory and in applications towards a synthesis of time- and frequency-domain methods, there is a need for an introductory text which treats both state-space and frequency-domain aspects in an integrated fashion. The authors' primary aim is to write an introductory textbook for a course on infinite dimensional linear systems. An important consideration by the authors is that their book should be accessible to graduate engineers and mathematicians with a minimal background in functional analysis. Consequently, all the mathematical background is summarized in an extensive appendix. For the majority of students, this would be their only acquaintance with infinite dimensional systems.
Author | : Felix L. Schwenninger |
Publisher | : Springer Nature |
Total Pages | : 262 |
Release | : |
Genre | : |
ISBN | : 3031649915 |