Geometric Structure of Systems-Control Theory and Physics
Author: Robert Hermann
Publisher: Math Science Press
Published: 1974-06-01
Total Pages: 450
ISBN-13: 9780915692088
DOWNLOAD EBOOK →Author: Robert Hermann
Publisher: Math Science Press
Published: 1974-06-01
Total Pages: 450
ISBN-13: 9780915692088
DOWNLOAD EBOOK →Author: Robert Hermann
Publisher:
Published: 1979
Total Pages: 526
ISBN-13: 9780915692279
DOWNLOAD EBOOK →Author: Velimir Jurdjevic
Publisher: Cambridge University Press
Published: 1997
Total Pages: 516
ISBN-13: 0521495024
DOWNLOAD EBOOK →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.
Author: Robert Hermann
Publisher: Math Science Press
Published: 1991
Total Pages: 363
ISBN-13: 9780915692422
DOWNLOAD EBOOK →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.
Author: Velimir Jurdjevic
Publisher: Cambridge University Press
Published: 2016-07-04
Total Pages: 437
ISBN-13: 1107113881
DOWNLOAD EBOOK →Blending control theory, mechanics, geometry and the calculus of variations, this book is a vital resource for graduates and researchers in engineering, mathematics and physics.
Author: Robert Hermann
Publisher: Math-Sci Press
Published: 1994
Total Pages: 286
ISBN-13: 9780915692453
DOWNLOAD EBOOK →Author: Robert Hermann
Publisher:
Published: 1991
Total Pages: 414
ISBN-13: 9780915692415
DOWNLOAD EBOOK →Author: Robert Hermann
Publisher:
Published: 1984
Total Pages: 316
ISBN-13: 9780915692354
DOWNLOAD EBOOK →