An Introduction to Infinite-Dimensional Linear Systems Theory
An Introduction to Infinite-Dimensional Linear Systems Theory
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DOI：
10.1007/978-1-4612-4224-6
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发表时间：
1995-06
期刊：
影响因子：
--
通讯作者：
R. Curtain;H. Zwart
中科院分区：
文献类型：
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作者：
R. Curtain;H. Zwart
无限维系统现已成为一个既定的研究领域。鉴于系统理论和时域和频域方法综合应用的最新趋势，需要一本以综合方式处理状态空间和频域方面的介绍性文本。作者的主要目标是为无限维线性系统课程编写一本入门教科书。作者的一个重要考虑是，他们的书应该适合具有最低泛函分析背景的研究生工程师和数学家。因此，所有的数学背景都总结在一个广泛的附录中。对于大多数学生来说，这将是他们对无限维度系统的唯一了解。
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.