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Titlebook: Resolution Space, Operators and Systems; R. Saeks Book 1973 Springer-Verlag Berlin · Heidelberg 1973 Operators.control.dynamische Systeme.

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發(fā)表于 2025-3-21 17:16:52 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Resolution Space, Operators and Systems
編輯R. Saeks
視頻videohttp://file.papertrans.cn/829/828490/828490.mp4
叢書名稱Lecture Notes in Economics and Mathematical Systems
圖書封面Titlebook: Resolution Space, Operators and Systems;  R. Saeks Book 1973 Springer-Verlag Berlin · Heidelberg 1973 Operators.control.dynamische Systeme.
描述If one takes the intuitive point of view that a system is a black box whose inputs and outputs are time functions or time series it is natural to adopt an operator theoretic approach to the stUdy of such systems. Here the black box is modeled by an operator which maps an input time function into an output time function. Such an approach yields a unification of the continuous (time function) and discrete (time series) theories and simultaneously allows one to formulate a single theory which is valid for time-variable distributed and nonlinear systems. Surprisingly, however, the great potential for such an approach has only recently been realized. Early attempts to apply classical operator theory typically having failed when optimal controllers proved to be non-causal, feedback systems unstable or coupling networks non-lossless. Moreover, attempts to circumvent these difficulties by adding causality or stability constraints to the problems failed when it was realized that these time based concepts were undefined and; in fact, undefinable; in the Hilbert and Banach spaces of classical operator theory.
出版日期Book 1973
關(guān)鍵詞Operators; control; dynamische Systeme; networks; time
版次1
doihttps://doi.org/10.1007/978-3-642-80735-0
isbn_softcover978-3-540-06155-7
isbn_ebook978-3-642-80735-0Series ISSN 0075-8442 Series E-ISSN 2196-9957
issn_series 0075-8442
copyrightSpringer-Verlag Berlin · Heidelberg 1973
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Feedback Systems, most of the results were originally formulated in a function space setting, the techniques employed are resolution space oriented, and hence readily translated into the resolution space notation in which they are presented in the present chapter. Early workers in the field include Willems (WL-1, WL
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Time Invariance,esentations for such operators are well defined only in a restricted class of resolution spaces termed uniform resolution spaces. The purpose of this chapter is the formulation of the uniform resolution space concept and the study of time-invariant operators defined on such spaces. For the most part
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Feedback Systems,-3), Zames (ZA-1, ZA-2, ZA-3), Sanberg,(SN-2), Damborg and Naylor (DA-1, DA-2, DA-3) and DeSantis (DE-1, DE-3, DE-5). Closely related to the feedback system stability problem is its sensitivity problem for which we present the formulation of Porter and Zahm (PR-4) also translated into the resolution space notation of the present monograph.
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