Geometric Structure Of Systems Control Theory And Physics
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Geometric Structure Of Systems Control Theory And Physics
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Author : Robert Hermann
language : en
Publisher: Math Science Press
Release Date : 1974-06-01
Geometric Structure Of Systems Control Theory And Physics written by Robert Hermann and has been published by Math Science Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974-06-01 with Mathematics categories.
Geometric Structure Theory Of Systems Control Theory And Physics
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Author : Robert Hermann
language : en
Publisher: Math-Sci Press
Release Date : 1976
Geometric Structure Theory Of Systems Control Theory And Physics written by Robert Hermann and has been published by Math-Sci Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976 with Mathematics categories.
Interdisciplinary Mathematics Geometric Structure Of Systems Control Theory And Physics Pt A
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Author : Robert Hermann
language : en
Publisher:
Release Date : 1974
Interdisciplinary Mathematics Geometric Structure Of Systems Control Theory And Physics Pt A written by Robert Hermann and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with Mathematical physics categories.
Cartanian Geometry Nonlinear Waves And Control Theory
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Author : Robert Hermann
language : en
Publisher:
Release Date : 1979
Cartanian Geometry Nonlinear Waves And Control Theory written by Robert Hermann and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with Mathematics categories.
Cartanian Geometry Nonlinear Waves And Control Theory
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Author : Robert Hermann
language : en
Publisher:
Release Date : 1979
Cartanian Geometry Nonlinear Waves And Control Theory written by Robert Hermann and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with Mathematics categories.
Geometric Control Theory
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Author : Velimir Jurdjevic
language : en
Publisher: Cambridge University Press
Release Date : 1997
Geometric Control Theory written by Velimir Jurdjevic and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Mathematics categories.
Geometric control theory is concerned with the evolution of systems subject to physical laws but having some degree of freedom through which motion is to be controlled. This book describes the mathematical theory inspired by the irreversible nature of time evolving events. The first part of the book deals with the issue of being able to steer the system from any point of departure to any desired destination. The second part deals with optimal control, the question of finding the best possible course. An overlap with mathematical physics is demonstrated by the Maximum principle, a fundamental principle of optimality arising from geometric control, which is applied to time-evolving systems governed by physics as well as to man-made systems governed by controls. Applications are drawn from geometry, mechanics, and control of dynamical systems. The geometric language in which the results are expressed allows clear visual interpretations and makes the book accessible to physicists and engineers as well as to mathematicians.
Dynamical Systems And Microphysics
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Author : Austin Blaquiere
language : en
Publisher: Elsevier
Release Date : 2012-12-02
Dynamical Systems And Microphysics written by Austin Blaquiere and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-02 with Science categories.
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 the relationship between complete controllability and Poisson stabilizability in relation to to Liapounov stabilizability. The next chapter looks at the conditions that must be met in order to control a dynamical system in an optimal fashion. The theory of optimal feedback control is used as an approach to the dynamics of a mass point in general relativity. The theory of reachability with feedback control is also used as an approach to geometrical optics in the frame of general relativity. The final chapter describes a system theoretic framework for the study of Hamiltonian systems with external forces. This monograph is intended primarily for researchers and graduate students in theoretical physics, mechanics, control and system theory, and mathematics. It may also be read profitably by philosophers of science and, to some extent, by those who have a keen interest in basic questions of contemporary mechanics and physics and who possess some background in the physical and mathematical sciences.
Geometric Structures In Nonlinear Physics
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Author : Robert Hermann
language : en
Publisher: Math Science Press
Release Date : 1991
Geometric Structures In Nonlinear Physics written by Robert Hermann and has been published by Math Science Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Mathematics categories.
VOLUME 26 of INTERDISCIPLINARY MATHEMATICS, series expounding mathematical methodology in Physics & Engineering. TOPICS: Differential & Riemannian Geometry; Theories of Vorticity Dynamics, Einstein-Hilbert Gravitation, Colobeau-Rosinger Generalized Function Algebra, Deformations & Quantum Mechanics of Particles & Fields. Ultimate goal is to develop mathematical framework for reconciling Quantum Mechanics & concept of Point Particle. New ideas for researchers & students. Order: Math Sci Press, 53 Jordan Road, Brookline, MA 02146. (617) 738-0307.
Dynamical Systems And Microphysics
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Author : Andre Avez
language : en
Publisher: Academic Press
Release Date : 2012-12-02
Dynamical Systems And Microphysics written by Andre Avez and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-02 with Science categories.
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.
Geometrical Dynamics Of Complex Systems
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Author : Vladimir G. Ivancevic
language : en
Publisher: Taylor & Francis
Release Date : 2006-01-18
Geometrical Dynamics Of Complex Systems written by Vladimir G. Ivancevic and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-01-18 with Language Arts & Disciplines categories.
Geometrical Dynamics of Complex Systems is a graduate-level monographic textbook. Itrepresentsacomprehensiveintroductionintorigorousgeometrical dynamicsofcomplexsystemsofvariousnatures. By'complexsystems', inthis book are meant high-dimensional nonlinear systems, which can be (but not necessarily are) adaptive. This monograph proposes a uni?ed geometrical - proachtodynamicsofcomplexsystemsofvariouskinds: engineering, physical, biophysical, psychophysical, sociophysical, econophysical, etc. As their names suggest, all these multi-input multi-output (MIMO) systems have something in common: the underlying physics. However, instead of dealing with the pop- 1 ular 'soft complexity philosophy', we rather propose a rigorous geometrical and topological approach. We believe that our rigorous approach has much greater predictive power than the soft one. We argue that science and te- nology is all about prediction and control. Observation, understanding and explanation are important in education at undergraduate level, but after that it should be all prediction and control. The main objective of this book is to show that high-dimensional nonlinear systems and processes of 'real life' can be modelled and analyzed using rigorous mathematics, which enables their complete predictability and controllability, as if they were linear systems. It is well-known that linear systems, which are completely predictable and controllable by de?nition - live only in Euclidean spaces (of various - mensions). They are as simple as possible, mathematically elegant and fully elaborated from either scienti?c or engineering side. However, in nature, no- ing is linear. In reality, everything has a certain degree of nonlinearity, which means: unpredictability, with subsequent uncontrollability.