Описание: This book exposes a number of mathematical models for fracture of growing difficulty.
Автор: Samir Adly Название: A Variational Approach to Nonsmooth Dynamics ISBN: 3319686577 ISBN-13(EAN): 9783319686578 Издательство: Springer Рейтинг: Цена: 7685.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
This brief examines mathematical models in nonsmooth mechanics and nonregular electrical circuits, including evolution variational inequalities, complementarity systems, differential inclusions, second-order dynamics, Lur'e systems and Moreau's sweeping process.
The field of nonsmooth dynamics is of great interest to mathematicians, mechanicians, automatic controllers and engineers. The present volume acknowledges this transversality and provides a multidisciplinary view as it outlines fundamental results in nonsmooth dynamics and explains how to use them to study various problems in engineering. In particular, the author explores the question of how to redefine the notion of dynamical systems in light of modern variational and nonsmooth analysis.
With the aim of bridging between the communities of applied mathematicians, engineers and researchers in control theory and nonlinear systems, this brief outlines both relevant mathematical proofs and models in unilateral mechanics and electronics.
Автор: Aldo Frediani; Bijan Mohammadi; Olivier Pironneau; Название: Variational Analysis and Aerospace Engineering ISBN: 3319833464 ISBN-13(EAN): 9783319833460 Издательство: Springer Рейтинг: Цена: 13974.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
Molding direction constraints in structural optimization via a level-set method (Gr egoire Allaire, Franc, ois Jouve and Georgios Michailidis).- Adaptive Control for Weakly Minimum Phase Linear Infinite-Dimensional Systems in Hilbert Space Using a Zero Filter (Mark J. Balas, Susan A. Frost).- Aeroelasticity of the PrandtlPlane (Rauno Cavallaro, Rocco Bombardieri, Simone Silvani, Luciano Demasi and Giovanni Bernardini).- HyPSim: a simulation tool for hybrid aircraft performance analysis (Vittorio Cipolla, Fabrizio Oliviero).- Evolutionary and Heuristic Methods Applied to Problems in Optimal Control (Bruce A. Conway).- Thin-walled beams: asymptotic models and applications (Cesare Davini, Lorenzo Freddi and Rpberto Paroni).- The Variational Approach to Fracture (Gianpietro Del Piero).- Minimum Induced Drag Theorems for Nonplanar Systems and Closed Wings (Luciano Demasi, Giovanni Monegato, and Rauno Cavallaro).- On aerodynamic design with a POD surrogate model (Valentina Dolci, Renzo Arina).- Trust Region Filter-SQP Method for Multi-Fidelity Wing Aerostructural Optimization (Ali Elham and Michel J.L. van Tooren).- Tensegrity rings for deployable space antennas (Pier Luigi Ganga, Andrea Micheletti, Paolo Podio-Guidugli, Lucio Scolamiero, Gunnar Tibert, and Valfredo Zolesi).- Data analytic UQ cascade (Bijan Mohammadi).- Aerodynamic design of "box blade" and "non-planar" wind turbines (Luigi Molea, Emanuele Di Vitantonio, Aldo Frediani).- Numerical Study of a Monolithic Fluid-Structure Formulation (Olivier Pironneau).- A New, General Neighboring Optimal Guidance for Aerospace Vehicles (Mauro Pontani).- State-of-the-art of optimum shape design methods for industrial applications and beyond (Bruno Stoufflet).- Variational Analysis and Euler Equation of the Optimum Propeller Problem (Francesco Torrigiani, Aldo Frediani, Antonio Dipace).
Автор: John L. Troutman Название: Variational Calculus and Optimal Control ISBN: 1461268877 ISBN-13(EAN): 9781461268871 Издательство: Springer Рейтинг: Цена: 7965.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: An introduction to the variational methods used to formulate and solve mathematical and physical problems, allowing the reader an insight into the systematic use of elementary (partial) convexity of differentiable functions in Euclidian space.
Автор: Alexander J. Zaslavski Название: Nonconvex Optimal Control and Variational Problems ISBN: 1461473772 ISBN-13(EAN): 9781461473770 Издательство: Springer Рейтинг: Цена: 13974.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This volume contains results concerning well-posedness of optimal control and variational problems, nonoccurrence of the Lavrentiev phenomenon for optimal control and variational problems, and turnpike properties of approximate solutions.
Описание: The aim of this book is to furnish the reader with a rigorous and detailed exposition of the concept of control parametrization and time scaling transformation. The book may be considered an extension of the 1991 monograph A Unified Computational Approach Optimal Control Problems, by K.L.
Описание: This book presents a novel unified treatment of inverse problems in optimal control and noncooperative dynamic game theory. It provides readers with fundamental tools for the development of practical algorithms to solve inverse problems in control, robotics, biology, and economics. The treatment involves the application of Pontryagin's minimum principle to a variety of inverse problems and proposes algorithms founded on the elegance of dynamic optimization theory. There is a balanced emphasis between fundamental theoretical questions and practical matters. The text begins by providing an introduction and background to its topics. It then discusses discrete-time and continuous-time inverse optimal control. The focus moves on to differential and dynamic games and the book is completed by consideration of relevant applications. The algorithms and theoretical results developed in Inverse Optimal Control and Inverse Noncooperative Dynamic Game Theory provide new insights into information requirements for solving inverse problems, including the structure, quantity, and types of state and control data. These insights have significant practical consequences in the design of technologies seeking to exploit inverse techniques such as collaborative robots, driver-assistance technologies, and autonomous systems. The book will therefore be of interest to researchers, engineers, and postgraduate students in several disciplines within the area of control and robotics.
Описание: Online files are included in the manuscript file.
Автор: Arutyunov Aram, Karamzin Dmitry, Lobo Pereira Fernando Название: Optimal Impulsive Control: The Extension Approach ISBN: 3030022595 ISBN-13(EAN): 9783030022594 Издательство: Springer Рейтинг: Цена: 16769.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
Optimal Impulsive Control explores the class of impulsive dynamic optimization problems—problems that stem from the fact that many conventional optimal control problems do not have a solution in the classical setting—which is highly relevant with regard to engineering applications. The absence of a classical solution naturally invokes the so-called extension, or relaxation, of a problem, and leads to the notion of generalized solution which encompasses the notions of generalized control and trajectory; in this book several extensions of optimal control problems are considered within the framework of optimal impulsive control theory. In this framework, the feasible arcs are permitted to have jumps, while the conventional absolutely continuous trajectories may fail to exist.
The authors draw together various types of their own results, centered on the necessary conditions of optimality in the form of Pontryagin’s maximum principle and the existence theorems, which shape a substantial body of optimal impulsive control theory. At the same time, they present optimal impulsive control theory in a unified framework, introducing the different paradigmatic problems in increasing order of complexity. The rationale underlying the book involves addressing extensions increasing in complexity from the simplest case provided by linear control systems and ending with the most general case of a totally nonlinear differential control system with state constraints.
The mathematical models presented in Optimal Impulsive Control being encountered in various engineering applications, this book will be of interest to both academic researchers and practising engineers.
Описание: In order to analyze and optimize energy efficiency for discrete manufacturing systems, it uses real-time access to energy consumption information and models of the energy consumption, and constructs an energy efficiency quantitative index system.
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 Рейтинг: Цена: 26024.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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
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