الصفحة 1
الصفحة 1
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Mathematical Aspects of Classical and Celestial Mechanics

In this book we describe the basic principles, problems, and methods of clssical mechanics. Our main attention is devoted to the mathematical side of the subject. Although the physical background of the models considered here and the applied aspects of the phenomena studied in this book are explored to a considerably lesser extent, we have tried to set forth first and foremost the “working” apparatus of classical mechanics. This apparatus is contained mainly in Chapters 1, 3, 5, 6, and 8. Chapter 1 is devoted to the basic mathematical models of classical - chanics that are usually used for describing the motion of real mechanical systems. Special attention is given to the study of motion with constraints and to the problems of realization of constraints in dynamics. In Chapter 3 we discuss symmetry groups of mechanical systems and the corresponding conservation laws. We also expound various aspects of ord- reduction theory for systems with symmetries, which is often used in appli- tions. Chapter 4 is devoted to variational principles and methods of classical mechanics. They allow one, in particular, to obtain non-trivial results on the existence of periodic trajectories. Special attention is given to the case where the region of possible motion has a non-empty boundary. Applications of the variational methods to the theory of stability of motion are indicated.

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Magnetic Nanostructures in Modern Technology ; Spintronics, Magnetic MEMS and Recording

A team of outstanding scientists in the field of modern magnetic nanotechnologies illustrates the state of the art in several areas of advanced magneto-electronic devices, magnetic micro-electromechanical systems and high density information storage technologies.The physics and chemistry of nano-scale systems have made rapid advances and there are real prospects of translating exciting scientific findings into a new generation of processes and high technology products with a potential impact on several industrial sectors. In particular the development of nano-structured magnetic materials plays a leading role in the increasing miniaturization of devices with superior performances.

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Lagrangian and Hamiltonian Methods for Nonlinear Control 2006 ; Proceedings from the 3rd IFAC Workshop, Nagoya, Japan, July 2006

A Differential-Geometric Approach for Bernstein’s Degrees-of-Freedom Problem.- Nonsmooth Riemannian Optimization with Applications to Sphere Packing and Grasping.- Synchronization of Networked Lagrangian Systems.- An Algorithm to Discretize One-Dimensional Distributed Port Hamiltonian Systems.- Virtual Lagrangian Construction Method for Infinitedimensional Systems with Homotopy Operators.- Direct Discrete-Time Design for Sampled-Data Hamiltonian Control Systems.- Kinematic Compensation in Port-Hamiltonian Telemanipulation.- Interconnection and Damping Assignment Passivity-Based Control of a Four-Tank System.- Towards Power-based Control Strategies for a Class of Nonlinear Mechanical Systems.- Power Shaping Control of Nonlinear Systems: A Benchmark Example.- Total Energy Shaping Control of Mechanical Systems: Simplifying the Matching Equations via Coordinate Changes.- Simultaneous Interconnection and Damping Assignment Passivity–Based Control: Two Practical Examples.

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Advances in Robot Control : From Everyday Physics to Human-Like Movements

This volume provides a unique collection of papers written in honor of the 70th birthday of Suguru Arimoto who has long been recognized as a pioneer in the field of robot control. A variety of his research is reflected in this book, which includes contributions from leading experts in the field, who have also been closely associated with Suguru Arimoto at various stages in his distinguished career. The book is build around two themes: the physics-based robot control for coping with the so-called everyday physics problems on one hand, and the challenge of reproducing beautiful, human-like movements on the other hand. These themes defined much of Arimoto’s research in the field of robot control and are the cornerstones of his perception of human robotics.

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