Dynamical Systems and Microphysics


Book Description

Dynamical Systems and Microphysics: Geometry and Mechanics contains the proceedings of the Second International Seminar on Mathematical Theory of Dynamical Systems and Microphysics held at the International Center for Mechanical Sciences in Udine, Italy on September 1-11, 1981. Contributors explore the geometry and mechanics of dynamical systems and microphysics and cover topics ranging from Lagrangian submanifolds and optimal control theory to Hamiltonian mechanics, linear dynamical systems, and the quantum theory of measurement. This volume is organized into six sections encompassing 30 chapters and begins with an introduction to geometric structures, mechanics, and general relativity. It considers an approach to quantum mechanics through deformation of the symplectic structure, giving a striking insight into the correspondence principle. The chapters that follow focus on the gauge invariance of the Einstein field, group treatment of the space of orbits in the Kepler problem, and stable configurations in nonlinear problems arising from physics. This book is intended for researchers and graduate students in theoretical physics, mechanics, control and system theory, and mathematics. It will also be profitably read by philosophers of science and, to some extent, by persons who have a keen interest in basic questions of contemporary mechanics and physics and some background in the physical and mathematical sciences.







Dynamical Systems and Microphysics


Book Description

Dynamical Systems and Microphysics: Control Theory and Mechanics contains the proceedings of the Third International Seminar on Mathematical Theory of Dynamical Systems and Microphysics held in Udine, Italy, on September 4-9, 1983. The papers explore the mechanics and optimal control of dynamical systems and cover topics ranging from complete controllability and stability to feedback control in general relativity; adaptive control for uncertain dynamical systems; geometry of canonical transformations; and homogeneity in mechanics. This book is comprised of 14 chapters and begins by discussing ...




Dynamical Systems


Book Description

This book commemorates the centenary of the birth of Georges David Birhoff, the father of the theory of Dynamical Systems. It consists of a volume of dedicated papers, reflecting the intellectual revolution of his work. This book is divided into four parts: Fundamental Paradigms ? Chaos, Turbulence, Attractors, Bifurcations; Dynamical Systems and Microphysics; Self-Organization and Biological Dynamical Systems; Epistemology and History.




Dynamical Systems - A Renewal Of Mechanism: Contennial Of Georges David Birkhoff


Book Description

This book commemorates the centenary of the birth of Georges David Birhoff, the father of the theory of Dynamical Systems. It consists of a volume of dedicated papers, reflecting the intellectual revolution of his work. This book is divided into four parts: Fundamental Paradigms — Chaos, Turbulence, Attractors, Bifurcations; Dynamical Systems and Microphysics; Self-Organization and Biological Dynamical Systems; Epistemology and History.







State Estimation for Dynamic Systems


Book Description

State Estimation for Dynamic Systems presents the state of the art in this field and discusses a new method of state estimation. The method makes it possible to obtain optimal two-sided ellipsoidal bounds for reachable sets of linear and nonlinear control systems with discrete and continuous time. The practical stability of dynamic systems subjected to disturbances can be analyzed, and two-sided estimates in optimal control and differential games can be obtained. The method described in the book also permits guaranteed state estimation (filtering) for dynamic systems in the presence of external disturbances and observation errors. Numerical algorithms for state estimation and optimal control, as well as a number of applications and examples, are presented. The book will be an excellent reference for researchers and engineers working in applied mathematics, control theory, and system analysis. It will also appeal to pure and applied mathematicians, control engineers, and computer programmers.







Control Dynamics of Robotic Manipulators


Book Description

Control Dynamics of Robotic Manipulators deals with both theory and mechanics of control and systems dynamics used in robotic movements. The book discusses mechanical models of robot manipulators in relation to modular RP-unit manipulators, multiple mechanical system (Cartesian Model), or generalized coordinates (Lagrangian Model). The text also describes equations used to determine the force characteristics, energy, and power required in manipulators. For example, damping forces dissipate energy caused by dry friction or viscous damping at mechanical joints due to slips and sheer effects on surfaces. Other examples are oil, water, and air resistance in the environment of the manipulator, as well as damping in links caused by microscopic interface effects. Demands for high-speed and high-accuracy in manipulators require sturdiness in control against variations in the system parameter. The book cites a situation where the manipulator works in a "hot cell" and must be controlled remotely. The text also tackles the avoidance of obstacles by nonvisual means by referring to the works of Lozano, Perez and Wesley, and of Reibert and Horn. The text is useful for students of civil, structural, and mechanical engineering. It will also profit technicians of automatic, telecontrol, and designers of industrial machinery.




Control Theory Of Robotic Systems


Book Description

Automated manufacturing is the topic of the day in industry and thus also in R&D investigation in both industrial laboratories and academia. The core of such studies lies in systems of robotic manipulators, with control of such systems for stability, effective goal reaching and coordination (timing, avoidance of collision) being an essential part of it. The manipulators must work at high speed and under considerable payloads which require nonlinear modelling. Their work is subject to bounded uncertainty in many parameters but precision must be secured. This book gives the theoretic base and specific algorithms for control, attaining the objectives under the above features. The algorithms given are in closed form, which makes for fast on-board computing.The book deals with its subject of systems of robots and their coordination control on a fundamental basis, using realistic untruncated models. It will be of lasting interest compared to texts dealing with details of the design of the day.