Geometric Methods In System Theory

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Geometric Methods In System Theory

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Author : D.Q. Mayne
language : en
Publisher: Springer Science & Business Media
Release Date : 1973-12-31

Geometric Methods In System Theory written by D.Q. Mayne and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973-12-31 with Science categories.

Geometric Methods in System Theory In automatic control there are a large number of applications of a fairly simple type for which the motion of the state variables is not free to evolve in a vector space but rather must satisfy some constraints. Examples are numerous; in a switched, lossless electrical network energy is conserved and the state evolves on an ellipsoid surface defined by x'Qx equals a constant; in the control of finite state, continuous time, Markov processes the state evolves on the set x'x = 1, xi ~ O. The control of rigid body motions and trajectory control leads to problems of this type. There has been under way now for some time an effort to build up enough control theory to enable one to treat these problems in a more or less routine way. It is important to emphasise that the ordinary vector space-linear theory often gives the wrong insight and thus should not be relied upon.

Geometric Methods In System Theory

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Author : D.Q. Mayne
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Geometric Methods In System Theory written by D.Q. Mayne and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.

Geometric Methods in System Theory In automatic control there are a large number of applications of a fairly simple type for which the motion of the state variables is not free to evolve in a vector space but rather must satisfy some constraints. Examples are numerous; in a switched, lossless electrical network energy is conserved and the state evolves on an ellipsoid surface defined by x'Qx equals a constant; in the control of finite state, continuous time, Markov processes the state evolves on the set x'x = 1, xi ~ O. The control of rigid body motions and trajectory control leads to problems of this type. There has been under way now for some time an effort to build up enough control theory to enable one to treat these problems in a more or less routine way. It is important to emphasise that the ordinary vector space-linear theory often gives the wrong insight and thus should not be relied upon.

Analyzing Multiscale Phenomena Using Singular Perturbation Methods

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Author : Jane Cronin
language : en
Publisher: American Mathematical Soc.
Release Date :

Analyzing Multiscale Phenomena Using Singular Perturbation Methods written by Jane Cronin and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.

To understand multiscale phenomena, it is essential to employ asymptotic methods to construct approximate solutions and to design effective computational algorithms. This volume consists of articles based on the AMS Short Course in Singular Perturbations held at the annual Joint Mathematics Meetings in Baltimore (MD). Leading experts discussed the following topics which they expand upon in the book: boundary layer theory, matched expansions, multiple scales, geometric theory, computational techniques, and applications in physiology and dynamic metastability. Readers will find that this text offers an up-to-date survey of this important field with numerous references to the current literature, both pure and applied.

Geometric Methods In System Theory Proceedings Of The Nato Advanced Study Institute

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Author :
language : en
Publisher:
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Geometric Methods In System Theory Proceedings Of The Nato Advanced Study Institute written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.

A Guide To Lie Systems With Compatible Geometric Structures

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Author : Javier De Lucas Araujo
language : en
Publisher: World Scientific
Release Date : 2020-01-22

A Guide To Lie Systems With Compatible Geometric Structures written by Javier De Lucas Araujo and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-01-22 with Mathematics categories.

The book presents a comprehensive guide to the study of Lie systems from the fundamentals of differential geometry to the development of contemporary research topics. It embraces several basic topics on differential geometry and the study of geometric structures while developing known applications in the theory of Lie systems. The book also includes a brief exploration of the applications of Lie systems to superequations, discrete systems, and partial differential equations.Offering a complete overview from the topic's foundations to the present, this book is an ideal resource for Physics and Mathematics students, doctoral students and researchers.

Geometric Methods In System Theory

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Author : D. Q. Mayne
language : en
Publisher:
Release Date : 1973

Geometric Methods In System Theory written by D. Q. Mayne and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with categories.

Geometrical Methods For Power Network Analysis

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Author : Stefano Bellucci
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-15

Geometrical Methods For Power Network Analysis written by Stefano Bellucci and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-15 with Technology & Engineering categories.

This book is a short introduction to power system planning and operation using advanced geometrical methods. The approach is based on well-known insights and techniques developed in theoretical physics in the context of Riemannian manifolds. The proof of principle and robustness of this approach is examined in the context of the IEEE 5 bus system. This work addresses applied mathematicians, theoretical physicists and power engineers interested in novel mathematical approaches to power network theory.

Geometric Methods In Physics

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Author : Piotr Kielanowski
language : en
Publisher: Springer
Release Date : 2014-08-19

Geometric Methods In Physics written by Piotr Kielanowski and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-08-19 with Mathematics categories.

The Białowieża Workshops on Geometric Methods in Physics, which are hosted in the unique setting of the Białowieża natural forest in Poland, are among the most important meetings in the field. Every year some 80 to 100 participants from both the mathematics and physics world join to discuss new developments and to exchange ideas. The current volume was produced on the occasion of the 32nd meeting in 2013. It is now becoming a tradition that the Workshop is followed by a School on Geometry and Physics, which consists of advanced lectures for graduate students and young researchers. Selected speakers at the 2013 Workshop were asked to contribute to this book, and their work was supplemented by additional review articles. The selection shows that, despite its now long tradition, the workshop remains at the cutting edge of research. The 2013 Workshop also celebrated the 75th birthday of Daniel Sternheimer, and on this occasion the discussion mainly focused on his contributions to mathematical physics such as deformation quantization, Poisson geometry, symplectic geometry and non-commutative differential geometry.

Geometric Techniques In Gauge Theories

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Author : R. Martini
language : en
Publisher: Springer
Release Date : 2006-11-14

Geometric Techniques In Gauge Theories written by R. Martini and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.

Geometric Methods In Physics Xxxviii

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Author : Piotr Kielanowski
language : en
Publisher: Springer Nature
Release Date : 2020-10-27

Geometric Methods In Physics Xxxviii written by Piotr Kielanowski and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-10-27 with Mathematics categories.

The book consists of articles based on the XXXVIII Białowieża Workshop on Geometric Methods in Physics, 2019. The series of Białowieża workshops, attended by a community of experts at the crossroads of mathematics and physics, is a major annual event in the field. The works in this book, based on presentations given at the workshop, are previously unpublished, at the cutting edge of current research, typically grounded in geometry and analysis, with applications to classical and quantum physics. For the past eight years, the Białowieża Workshops have been complemented by a School on Geometry and Physics, comprising series of advanced lectures for graduate students and early-career researchers. The extended abstracts of the five lecture series that were given in the eighth school are included. The unique character of the Workshop-and-School series draws on the venue, a famous historical, cultural and environmental site in the Białowieża forest, a UNESCO World Heritage Centre in the east of Poland: lectures are given in the Nature and Forest Museum and local traditions are interwoven with the scientific activities. The chapter “Toeplitz Extensions in Noncommutative Topology and Mathematical Physics” is available open access under a Creative Commons Attribution 4.0 International License via link.springer.com.