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Titlebook: Linear Time-Varying Systems; Algebraic-Analytic A Henri Bourlès,Bogdan Marinescu Book 2011 Springer-Verlag Berlin Heidelberg 2011 LTV Syste

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书目名称Linear Time-Varying Systems
副标题Algebraic-Analytic A
编辑Henri Bourlès,Bogdan Marinescu
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概述Comprehensive treatment of the theory of linear time-varying systems.Unified approach based on ring and module theory.Written by leading experts in this field
丛书名称Lecture Notes in Control and Information Sciences
图书封面Titlebook: Linear Time-Varying Systems; Algebraic-Analytic A Henri Bourlès,Bogdan Marinescu Book 2011 Springer-Verlag Berlin Heidelberg 2011 LTV Syste
描述.The aim of this book is to propose a new approach to analysis and control of linear time-varying systems.  These systems are defined in an intrinsic way, i.e., not by a particular representation (e.g., a transfer matrix or a state-space form) but as they are actually.  The system equations, derived, e.g., from the laws of physics, are gathered to form an intrinsic mathematical object, namely a finitely presented module over a ring of operators.  This is strongly connected with the engineering point of view, according to which a system is not a specific set of equations but an object of the material world which can be described by equivalent sets of equations.  This viewpoint makes it possible to formulate and solve efficiently several key problems of the theory of control in the case of linear time-varying systems.  The solutions are based on algebraic analysis.. .This book, written for engineers, is also useful for mathematicians since it shows how algebraic analysis can be applied to solve engineering problems.. .Henri Bourlès is a Professor and holds the industrial automation chair at the Conservatoire national des arts et métiers in France. He has been teaching automation for
出版日期Book 2011
关键词LTV System; Linear Time Varying Systems; Module Theory; Structure at Infinity
版次1
doihttps://doi.org/10.1007/978-3-642-19727-7
isbn_softcover978-3-642-19726-0
isbn_ebook978-3-642-19727-7Series ISSN 0170-8643 Series E-ISSN 1610-7411
issn_series 0170-8643
copyrightSpringer-Verlag Berlin Heidelberg 2011
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Homological Algebrag., ., ., then . is the equation of an LTV system. If . is a second left .-module generated by a set of variables . satisfying an equation . .= 0, where . and . is a .×. matrix with entries in ., and if . ≅ ., then . and . are identified and the matrices .,. are called left-similar. Presentations and similarity are studied in Section 3.2.
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Modeling: Choice of the Input Variables of an LTV Systemnce to the nature of the system (electrical energy conservation laws, Lagrange formalism for mechanical systems, thermodynamics heat exchange laws, etc.). Examples for this way of doing are the models presented in Chapter 8.
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Open-Loop Control by Model-Matchingike, ., the ||.||. norm for the . control. The . model-matching (EMM) consists in precisely assigning all entries of the transfer matrix to given transfer functions. It can be done by . (. or .) or by . (. or .).
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Henri Bourlès,Bogdan Marinescu pedagogical aspects such as end-of-chapter problems and carefully designed examples to augment learning in CFD code-development, application and analysis. This book is a valuable resource for students in the fields of mechanical, chemical or aeronautical engineering.978-3-030-72886-1978-3-030-72884-7
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Henri Bourlès,Bogdan Marinescu pedagogical aspects such as end-of-chapter problems and carefully designed examples to augment learning in CFD code-development, application and analysis. This book is a valuable resource for students in the fields of mechanical, chemical or aeronautical engineering.978-3-030-72886-1978-3-030-72884-7
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