文章基本信息

标题：Well-posed linear systems - A survey with emphasis on conservative systems
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作者：George Weiss ; Olof J. Staffans ; Marius Tucsnak 等
期刊名称：International Journal of Applied Mathematics and Computer Science
电子版ISSN：2083-8492
出版年度：2001
卷号：11
期号：1
出版社：De Gruyter Open
摘要：We survey the literature on well-posed linear systems, which has been an area of rapid development in recent years. We examine the particular subclass of conservative systems and its connections to scattering theory. We study some transformations of well-posed systems, namely duality and time-flow inversion, and their effect on the transfer function and the generating operators. We describe a simple way to generate conservative systems via a second-order differential equation in a Hilbert space. We give results about the stability, controllability and observability of such conservative systems and illustrate these with a system modeling a controlled beam
关键词：well-posed linear system; regular linear system; operator semigroup; conservative system; scattering theory; time-flow-inversion; differential equations in Hilbert space; beam equation