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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations
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Linear Port-Hamiltonian Systems on Infinite-dimensional Spaces (Hardcover, 2012 ed.)
Loot Price: R2,180
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Linear Port-Hamiltonian Systems on Infinite-dimensional Spaces (Hardcover, 2012 ed.)
Series: Linear Operators and Linear Systems, 223
Expected to ship within 12 - 17 working days
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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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