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Linear Port-Hamiltonian Systems on Infinite-dimensional Spaces (Hardcover, 2012 ed.): Birgit Jacob, Hans J. Zwart Linear Port-Hamiltonian Systems on Infinite-dimensional Spaces (Hardcover, 2012 ed.)
Birgit Jacob, Hans J. Zwart
R2,271 Discovery Miles 22 710 Ships in 10 - 15 working days

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.

Geometric Theory for Infinite Dimensional Systems (Paperback): Hans J. Zwart Geometric Theory for Infinite Dimensional Systems (Paperback)
Hans J. Zwart
R1,493 Discovery Miles 14 930 Ships in 10 - 15 working days

The monograph is addressed to researchers in the field of geometric theory of infinite dimensional systems. The author uses basic concepts of the infinite dimensional system theory, approximate controllability, initial observability, which are covered in the second and third chapter. The book is self-contained with respect to the notions of the geometric theory, although sometimes the author refers to the references for the finite dimensional case.

Linear Port-Hamiltonian Systems on Infinite-dimensional Spaces (Paperback, 2012 ed.): Birgit Jacob, Hans J. Zwart Linear Port-Hamiltonian Systems on Infinite-dimensional Spaces (Paperback, 2012 ed.)
Birgit Jacob, Hans J. Zwart
R1,503 Discovery Miles 15 030 Ships in 10 - 15 working days

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.

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