Geometric and Numerical Optimal Control, Bonnard

Автор: Hairer
Название: Geometric numerical integration
ISBN: 364205157X ISBN-13(EAN): 9783642051579
Издательство: Springer
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Цена: 93160.00 T
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Описание: This book covers numerical methods that preserve properties of Hamiltonian systems, reversible systems, differential equations on manifolds and problems with highly oscillatory solutions. The long-time behavior of the numerical solutions is studied using a backward error analysis combined with KAM theory.

Автор: Hairer, E.
Название: Geometric Numerical Integration: Structure-Preserving Algorithms for Ordinary Differential Equations
ISBN: 3540306633 ISBN-13(EAN): 9783540306634
Издательство: Springer
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Цена: 149060.00 T
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Описание: This book covers numerical methods that preserve properties of Hamiltonian systems, reversible systems, differential equations on manifolds and problems with highly oscillatory solutions. The long-time behavior of the numerical solutions is studied using a backward error analysis combined with KAM theory.

Автор: Betts Jonn T.
Название: Practical Methods for Optimal Control and Estimation Using Nonlinear Programming
ISBN: 0898716888 ISBN-13(EAN): 9780898716887
Издательство: Mare Nostrum (Eurospan)
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Цена: 88610.00 T
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Описание: This second edition of the popular text by John Betts incorporates lots of new material while maintaining the concise and focused presentation of the original edition. The book describes how sparse optimization methods can be combined with discretization techniques for differential-algebraic equations and used to solve optimal control and estimation problems. The interaction between optimization and integration is emphasized throughout the book. The relevant background in nonlinear programming methods that exploit sparse matrix technology is presented, along with description of discretization techniques for solving differential-algebraic equations. It will appeal to users of optimal control working in fields such as the aerospace industry, chemical process control, mathematical biology, robotics and multibody simulation, and engineering. It is also suitable for graduate courses on optimal control methods. The SOCS software referenced within the book can be licensed from Boeing by readers interested in receiving the code and training materials for further investigation.

Автор: Heinz Sch?ttler; Urszula Ledzewicz
Название: Geometric Optimal Control
ISBN: 1489986804 ISBN-13(EAN): 9781489986801
Издательство: Springer
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Цена: 69870.00 T
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Описание: Here is a comprehensive review of the fundamental conditions for optimality for finite-dimensional, deterministic, optimal control problems. Includes worked examples ranging from minimum surfaces of revolution to cancer treatment for novel therapy approaches.

Автор: Radoslaw Pytlak
Название: Numerical Methods for Optimal Control Problems with State Constraints
ISBN: 3540662146 ISBN-13(EAN): 9783540662143
Издательство: Springer
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Цена: 41880.00 T
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Описание: While optimality conditions for optimal control problems with state constraints have been extensively investigated in the literature the results pertaining to numerical methods are relatively scarce. This approach enables the author to provide global convergence analysis of first order and superlinearly convergent second order methods.

Автор: Maitine Bergounioux, Gabriel Peyr?, Christoph Schn
Название: Variational Methods: In Imaging and Geometric Control
ISBN: 3110439239 ISBN-13(EAN): 9783110439236
Издательство: Walter de Gruyter
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Цена: 173490.00 T
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Описание: With a focus on the interplay between mathematics and applications of imaging, the first part covers topics from optimization, inverse problems and shape spaces to computer vision and computational anatomy. The second part is geared towards geometric control and related topics, including Riemannian geometry, celestial mechanics and quantum control. Contents:Part ISecond-order decomposition model for image processing: numerical experimentationOptimizing spatial and tonal data for PDE-based inpaintingImage registration using phase?amplitude separationRotation invariance in exemplar-based image inpaintingConvective regularization for optical flowA variational method for quantitative photoacoustic tomography with piecewise constant coefficientsOn optical flow models for variational motion estimationBilevel approaches for learning of variational imaging modelsPart IINon-degenerate forms of the generalized Euler?Lagrange condition for state-constrained optimal control problemsThe Purcell three-link swimmer: some geometric and numerical aspects related to periodic optimal controlsControllability of Keplerian motion with low-thrust control systemsHigher variational equation techniques for the integrability of homogeneous potentialsIntroduction to KAM theory with a view to celestial mechanicsInvariants of contact sub-pseudo-Riemannian structures and Einstein?Weyl geometryTime-optimal control for a perturbed Brockett integratorTwist maps and Arnold diffusion for diffeomorphismsA Hamiltonian approach to sufficiency in optimal control with minimal regularity conditions: Part IIndex

Автор: Boris S. Mordukhovich; Hector J. Sussmann
Название: Nonsmooth Analysis and Geometric Methods in Deterministic Optimal Control
ISBN: 1461384915 ISBN-13(EAN): 9781461384915
Издательство: Springer
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Цена: 97820.00 T
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Описание: This IMA Volume in Mathematics and its Applications NONSMOOTH ANALYSIS AND GEOMETRIC METHODS IN DETERMINISTIC OPTIMAL CONTROL is based on the proceedings of a workshop that was an integral part of the 1992-93 IMA program on "Control Theory.

Название: Numerical Methods for Stochastic Control Problems in Continu
ISBN: 1461265312 ISBN-13(EAN): 9781461265313
Издательство: Springer
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Цена: 85670.00 T
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Описание: Stochastic control is a very active area of research. This monograph, written by two leading authorities in the field, has been updated to reflect the latest developments. It covers effective numerical methods for stochastic control problems in continuous time on two levels, that of practice and that of mathematical development.