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Titlebook: Symmetries and Semi-invariants in the Analysis of Nonlinear Systems; Laura Menini,Antonio Tornambè Book 2011 Springer-Verlag London Limite

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书目名称Symmetries and Semi-invariants in the Analysis of Nonlinear Systems
编辑Laura Menini,Antonio Tornambè
视频video
概述Most results are derived for continuous- and discrete-time systems showing readers how to recognises when their own techniques are valid in both cases.Rigorous mathematical treatment in a simple style
图书封面Titlebook: Symmetries and Semi-invariants in the Analysis of Nonlinear Systems; Laura Menini,Antonio Tornambè Book 2011 Springer-Verlag London Limite
描述.This book details the analysis of continuous- and discrete-time dynamical systems described by differential and difference equations respectively. Differential geometry provides the tools for this, such as first-integrals or orbital symmetries, together with normal forms of vector fields and of maps. A crucial point of the analysis is linearization by state immersion..The theory is developed for general nonlinear systems and specialized for the class of Hamiltonian systems. By using the strong geometric structure of Hamiltonian systems, the results proposed are stated in a different, less complex and more easily comprehensible manner. They are applied to physically motivated systems, to demonstrate how much insight into known properties is gained using these techniques. Various control systems applications of the techniques are characterized including: computation of the flow of nonlinear systems; computation of semi-invariants; computation of Lyapunov functions for stability analysis and observer design..
出版日期Book 2011
关键词Control; Control Applications; Control Engineering; Control Theory; Dynamical Systems; Geometry; Hamiltoni
版次1
doihttps://doi.org/10.1007/978-0-85729-612-2
isbn_softcover978-1-4471-6241-4
isbn_ebook978-0-85729-612-2
copyrightSpringer-Verlag London Limited 2011
The information of publication is updating

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Laura Menini,Antonio Tornambève to find an explanation set, {..,..}, that is maximal for someone at some time, but we must also be able to justify the claim that it is maximal. And this will require that, among other things, we be able to justify that {..,..} meets the minimum conditions of adequacy for explanation sets, and th
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Analysis of Continuous-Time Nonlinear Systems,nd invariant distributions can be used to obtain a reduction of the order of a given system, and, in particular, the reduction based on invariant distributions is useful to study structural properties of the system, possibly endowed with inputs and outputs. The last sections of this chapter propose
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Analysis of Hamiltonian Systems, Hamiltonian systems; it is shown that every system having an inverse Jacobi last multiplier equal to one can be written as a Hamiltonian system, if the Poisson bracket is properly defined (this can be done in general with the help of the Nambu bracket).
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Laura Menini,Antonio Tornambète skepticism, but few try to give a precise characterization of the thesis they attack. My first aim, consequently, is to characterize skepticism, or, more pre978-94-009-8960-3978-94-009-8958-0Series ISSN 0921-8599 Series E-ISSN 2542-8349
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