Andrei Agrachev (49 results)
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Paperback. Condition: Brand New. 1st edition. 351 pages. 9.00x5.75x1.00 inches. In Stock.
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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - The lectures gathered in this volume present some of the different aspects of Mathematical Control Theory. Adopting the point of view of Geometric Control Theory and of Nonlinear Control Theory, the lectures focus on some aspects of the Optimizatio…n and Control of nonlinear, not necessarily smooth, dynamical systems. Specifically, three of the five lectures discuss respectively: logic-based switching control, sliding mode control and the input to the state stability paradigm for the control and stability of nonlinear systems. The remaining two lectures are devoted to Optimal Control: one investigates the connections between Optimal Control Theory, Dynamical Systems and Differential Geometry, while the second presents a very general version, in a non-smooth context, of the Pontryagin Maximum Principle. The arguments of the wholevolume are self-contained and are directed to everyone working in Control Theory. They offer a sound presentation of the methods employed in the control and optimization of nonlinear dynamical systems.
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Taschenbuch. Condition: Neu. Control Theory from the Geometric Viewpoint | Andrei A. Agrachev (u. a.) | Taschenbuch | Encyclopaedia of Mathematical Sciences | xiv | Englisch | 2010 | Springer | EAN 9783642059070 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[a…t]springer[dot]com | Anbieter: preigu.
Language: English
Published by Cambridge University Press 2020
Series: Cambridge Studies in Advanced Mathematics, Book 110 of 151. Book 110 of 151 - Cambridge Studies in Advanced Mathematics
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Published by Cambridge University Press 2020
Series: Cambridge Studies in Advanced Mathematics, Book 110 of 151. Book 110 of 151 - Cambridge Studies in Advanced Mathematics
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Published by Cambridge University Press 2020
Series: Cambridge Studies in Advanced Mathematics, Book 110 of 151. Book 110 of 151 - Cambridge Studies in Advanced Mathematics
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Buch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - This book presents some facts and methods of the Mathematical Control Theory treated from the geometric point of view. The book is mainly based on graduate courses given by the first coauthor in the years 2000-2001 at the International School for Advanced… Studies, Trieste, Italy. Mathematical prerequisites are reduced to standard courses of Analysis and Linear Algebra plus some basic Real and Functional Analysis. No preliminary knowledge of Control Theory or Differential Geometry is required. What this book is about The classical deterministic physical world is described by smooth dynamical systems: the future in such a system is com pletely determined by the initial conditions. Moreover, the near future changes smoothly with the initial data. If we leave room for 'free will' in this fatalistic world, then we come to control systems. We do so by allowing certain param eters of the dynamical system to change freely at every instant of time. That is what we routinely do in real life with our body, car, cooker, as well as with aircraft, technological processes etc. We try to control all these dynamical systems! Smooth dynamical systems are governed by differential equations. In this book we deal only with finite dimensional systems: they are governed by ordi nary differential equations on finite dimensional smooth manifolds. A control system for us is thus a family of ordinary differential equations. The family is parametrized by control parameters.
Language: English
Published by Cambridge University Press 2020
Series: Cambridge Studies in Advanced Mathematics, Book 110 of 151. Book 110 of 151 - Cambridge Studies in Advanced Mathematics
- Hardcover
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Language: English
Published by Cambridge University Press 2020
Series: Cambridge Studies in Advanced Mathematics, Book 110 of 151. Book 110 of 151 - Cambridge Studies in Advanced Mathematics
- Hardcover
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Language: English
Published by Cambridge University Press 2020
Series: Cambridge Studies in Advanced Mathematics, Book 110 of 151. Book 110 of 151 - Cambridge Studies in Advanced Mathematics
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Published by Cambridge University Press 2019
Series: Cambridge Studies in Advanced Mathematics, Book 110 of 151. Book 110 of 151 - Cambridge Studies in Advanced Mathematics
- Hardcover
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Language: English
Published by Cambridge University Press CUP 2020
Series: Cambridge Studies in Advanced Mathematics, Book 110 of 151. Book 110 of 151 - Cambridge Studies in Advanced Mathematics
- Hardcover
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Published by Cambridge University Press 2020
Series: Cambridge Studies in Advanced Mathematics, Book 110 of 151. Book 110 of 151 - Cambridge Studies in Advanced Mathematics
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Series: Cambridge Studies in Advanced Mathematics, Book 110 of 151. Book 110 of 151 - Cambridge Studies in Advanced Mathematics
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Published by Cambridge Univ Pr 2019
Series: Cambridge Studies in Advanced Mathematics, Book 110 of 151. Book 110 of 151 - Cambridge Studies in Advanced Mathematics
- Hardcover
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Language: English
Published by Cambridge University Press 2020
Series: Cambridge Studies in Advanced Mathematics, Book 110 of 151. Book 110 of 151 - Cambridge Studies in Advanced Mathematics
- Hardcover
Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH
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Buch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - Sub-Riemannian geometry is the geometry of a world with nonholonomic constraints. In such a world, one can move, send and receive information only in certain admissible directions but eventually can reach every position from any other. In the last two dec…ades sub-Riemannian geometry has emerged as an independent research domain impacting on several areas of pure and applied mathematics, with applications to many areas such as quantum control, Hamiltonian dynamics, robotics and Lie theory. This comprehensive introduction proceeds from classical topics to cutting-edge theory and applications, assuming only standard knowledge of calculus, linear algebra and differential equations. The book may serve as a basis for an introductory course in Riemannian geometry or an advanced course in sub-Riemannian geometry, covering elements of Hamiltonian dynamics, integrable systems and Lie theory. It will also be a valuable reference source for researchers in various disciplines.
- Softcover
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The lectures gathered in this volume present some of the different aspects of Mathematical Control Theory. Adopting the point of view of Geometric Control Theory and of Nonlinear Control Theory, the lectures focus on some aspects of… the Optimization and Control of nonlinear, not necessarily smooth, dynamical systems. Specifically, three of the five lectures discuss respectively: logic-based switching control, sliding mode control and the input to the state stability paradigm for the control and stability of nonlinear systems. The remaining two lectures are devoted to Optimal Control: one investigates the connections between Optimal Control Theory, Dynamical Systems and Differential Geometry, while the second presents a very general version, in a non-smooth context, of the Pontryagin Maximum Principle. The arguments of the wholevolume are self-contained and are directed to everyone working in Control Theory. They offer a sound presentation of the methods employed in the control and optimization of nonlinear dynamical systems. 376 pp. Englisch.
