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Titlebook: State Space Consistency and Differentiability; Demetrios Serakos Book 2014 Demetrios Serakos 2014 Dynamical Input-Output Systems.Mechanics

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发表于 2025-3-21 19:22:27 | 显示全部楼层 |阅读模式
书目名称State Space Consistency and Differentiability
编辑Demetrios Serakos
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概述Presents an analysis of input-output systems with regard to the concept of state.Developed results are useful aids for understanding modeling of physical systems.Includes conditions for identifying th
丛书名称SpringerBriefs in Optimization
图书封面Titlebook: State Space Consistency and Differentiability;  Demetrios Serakos Book 2014 Demetrios Serakos 2014 Dynamical Input-Output Systems.Mechanics
描述​By investigating the properties of the natural state, this book presents an analysis of input-output systems with regard to the mathematical concept of state. The state of a system condenses the effects of past inputs to the system in a useful manner. This monograph emphasizes two main properties of the natural state; the first has to do with the possibility of determining the input-output system from its natural state set and the second deals with differentiability properties involving the natural state inherited from the input-output system, including differentiability of the natural state and natural state trajectories. The results presented in this title aid in modeling physical systems since system identification from a state set holds in most models. Researchers and engineers working in electrical, aerospace, mechanical, and chemical fields along with applied mathematicians working in systems or differential equations will find this title useful due to its rigorous mathematics.​ 
出版日期Book 2014
关键词Dynamical Input-Output Systems; Mechanics of systems; State Differentiability; State and State Space; Sy
版次1
doihttps://doi.org/10.1007/978-3-319-14469-6
isbn_softcover978-3-319-14468-9
isbn_ebook978-3-319-14469-6Series ISSN 2190-8354 Series E-ISSN 2191-575X
issn_series 2190-8354
copyrightDemetrios Serakos 2014
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发表于 2025-3-21 23:51:31 | 显示全部楼层
Summary and Conclusions,y not uniquely define a natural state space. This same example along with Proposition 15 showed that reachability is affected by memory length. Sufficient conditions for a connected natural state space are given in Lemma 12. Connectedness and reachability of the natural state space may also be prope
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2190-8354 and chemical fields along with applied mathematicians working in systems or differential equations will find this title useful due to its rigorous mathematics.​ 978-3-319-14468-9978-3-319-14469-6Series ISSN 2190-8354 Series E-ISSN 2191-575X
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,State Differentiability Properties in Input–Output Systems,m past input to natural state. The last result implies the differentiability of the natural state trajectories. The result also provides a differential equation representation for the natural state trajectories.
发表于 2025-3-22 17:25:05 | 显示全部楼层
Some State Space Properties,onditions such that systems are determined by their natural state space, which include tapered (memory) input spaces. We also present sufficient conditions for this property for systems represented by polynomial integral operators.
发表于 2025-3-23 00:20:39 | 显示全部楼层
Introduction,ace into the output space. A particular representation of the state of such a system at any instant has been defined as an operator from the space of possible future inputs to that of future outputs. This representation is called the natural state. The purpose of this book is to investigate addition
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