全球智库信息集成服务系统(G2TT): Topological properties of observability for a system of parabolic type.

G2TT

来源类型	Book Section
DOI	10.1007/BFb0043188
	Topological properties of observability for a system of parabolic type.
	Miyamoto S; Byrnes, C.I.; Kurzhanski, A.B.
发表日期	1988
出处	Modelling and Adaptive Control. Eds. Byrnes, C.I. & Kurzhanski, A.B. , pp. 239-253 Germany: Springer Berlin/Heidelberg. ISBN 978-3-540-38904-0 DOI: 10.1007/BFb0043188 .
出版年	1988
语种	英语
摘要	The purpose of the present paper is to demonstrate topological properties of observable regions in a distributed parameter system. A parabolic partial differential equation with constant coefficients is considered. According to Sakawa's definition, observability is defined to be the possibility of the unique determination of the initial value by point measurements, or by spatially averaged measurements. Furthermore, n-mode observability is defined to be the possibility of the unique determination of the coefficients corresponding to the first n eigenvalues, based on the expansion of the solution by eigenfunctions. Then it is proved that n-mode observability is generic, that is, open and dense, whereas observability is shown to be dense in the whole space of measurements. In case of point measurements, it is shown that observability is valid almost everywhere with respect to the Lebesque measure. Moreover genericity of n-mode controllability and the related properties of controllability will be shown for the dual systems with controls.
主题	System and Decision Sciences - Core (SDS)
URL	http://pure.iiasa.ac.at/id/eprint/13001/
来源智库	International Institute for Applied Systems Analysis (Austria)
引用统计
资源类型	智库出版物
条目标识符	http://119.78.100.153/handle/2XGU8XDN/133148
推荐引用方式 GB/T 7714	Miyamoto S,Byrnes, C.I.,Kurzhanski, A.B.. Topological properties of observability for a system of parabolic type.. 1988.