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Titlebook: Generalized Adjoint Systems; Demetrios Serakos Book 2015 Demetrios Serakos 2015 Systems theory.Theorems of Hahn-Banach type.adjoint method

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发表于 2025-3-21 16:34:58 | 显示全部楼层 |阅读模式
书目名称Generalized Adjoint Systems
编辑Demetrios Serakos
视频video
概述Presents material that uses the generalized adjoint system to determine noise and disturbance bounds for an input-output system.Derives elementary properties of the generalized adjoint system.Explains
丛书名称SpringerBriefs in Optimization
图书封面Titlebook: Generalized Adjoint Systems;  Demetrios Serakos Book 2015 Demetrios Serakos 2015 Systems theory.Theorems of Hahn-Banach type.adjoint method
描述This book defines and develops the generalized adjoint of an input-output system. It is the result of a theoretical development and examination of the generalized adjoint concept and the conditions under which systems analysis using adjoints is valid. Results developed in this book are useful aids for the analysis and modeling of physical systems, including the development of guidance and control algorithms and in developing simulations. The generalized adjoint system is defined and is patterned similarly to adjoints of bounded linear transformations. Next the elementary properties of the generalized adjoint system are derived. For a space of input-output systems, a generalized adjoint map from this space of systems to the space of generalized adjoints is defined. Then properties of the generalized adjoint map are derived. Afterward the author demonstrates that the inverse of an input-output system may be represented in terms of the generalized adjoint. The use of generalized adjoints to determine bounds for undesired inputs such as noise and disturbance to an input-output system is presented and methods which parallel adjoints in linear systems theory are utilized. Finally, an ill
出版日期Book 2015
关键词Systems theory; Theorems of Hahn-Banach type; adjoint methods; disturbances and noise; input-output syst
版次1
doihttps://doi.org/10.1007/978-3-319-16652-0
isbn_softcover978-3-319-16651-3
isbn_ebook978-3-319-16652-0Series ISSN 2190-8354 Series E-ISSN 2191-575X
issn_series 2190-8354
copyrightDemetrios Serakos 2015
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发表于 2025-3-21 22:50:56 | 显示全部楼层
2190-8354 adjoints to determine bounds for undesired inputs such as noise and disturbance to an input-output system is presented and methods which parallel adjoints in linear systems theory are utilized. Finally, an ill978-3-319-16651-3978-3-319-16652-0Series ISSN 2190-8354 Series E-ISSN 2191-575X
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Ralph Greifenstein,Leo Kißler,Peter JansenThis chapter is divided into two sections. In the first section, we consider that a generalized adjoint system is one to one and onto when the original system is, and vice versa. In the second section, the invertibility of an input–output system by its generalized adjoint system is considered.
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A Generalized Adjoint System,In this chapter, we use the technique of adjoints to define an input–output system. This system is referred to as the generalized adjoint system. The space of time functions presented in Chap. 3 is the input space for the generalized adjoint system. Properties of the generalized adjoint system are presented.
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Example,In this chapter, an illustrative example is presented. We illustrate some of the properties of the generalized adjoint system using a plant represented by a second degree integral operator.
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