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Titlebook: An Introduction to Infinite-Dimensional Linear Systems Theory; Ruth F. Curtain,Hans Zwart Textbook 1995 Springer Science+Business Media Ne

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期刊全称An Introduction to Infinite-Dimensional Linear Systems Theory
影响因子2023Ruth F. Curtain,Hans Zwart
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学科分类Texts in Applied Mathematics
图书封面Titlebook: An Introduction to Infinite-Dimensional Linear Systems Theory;  Ruth F. Curtain,Hans Zwart Textbook 1995 Springer Science+Business Media Ne
影响因子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.
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978-1-4612-8702-5Springer Science+Business Media New York 1995
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Die Tonleiter und ihre Mathematiks that arise for delay and distributed parameter (those described by partial differential equations) systems. These two special classes of infinite-dimensional systems occur most frequently in the applications.
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Semigroup Theory, to describe them through an abstract formulation of the type. on a separable complex Hilbert space Z to enable us to present a unified treatment of these and finite-dimensional systems. Let us first consider a simple example.
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Zusammenfassende SchlußbemerkungenIn this chapter, we shall consider the following class of infinite-dimensional systems with input . and output .:
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