In this section, the IEEE Control Systems Society publishes reviews of books in the control field Geometric Control Theory—Velimir Jurdjevic (New York: Cam-. GEOMETRIC. CONTROL THEORY. VELIMIR JURDJEVIC. University of Toronto 8 Non-holonomic aspects of control theory. Notes and sources. Cambridge Studies in Advanced Mathematics: Geometric Control Theory Series Number 52 by Velimir Jurdjevic, , available at Book Depository.
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Geometric Control Theory – Velimir Jurdjevic, Jurdjevic Velimir, Velimir Đurđević – Google Books
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Cambridge Studies in Advanced Mathematics: Geometric Control Theory Series Number Description 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 geojetric systems governed by physics as well as to man-made systems governed by controls.
ECE598MAB: Geometric Control Theory
Applications are drawn from geometry, mechanics, jurdjjevic 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. The Best Books of Check out the top books of the year on our page Best Books of Looking for beautiful books?
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Table of contents Introduction; Acknowledgments; Part I. Reachable Sets and Controllability: Basic formalism and typical problems; 2.
ECEMAB: Geometric Control Theory | M.-A. Belabbas
Orbits of families of vector fields; 3. Reachable sets of Lie-determined systems; 4.
Control affine systems; 5. Linear and polynomial control systems; 6. Systems on Lie groups and homogenous iurdjevic Part II. Linear systems with quadratic costs; 8. The Riccati equation and quadratic systems; 9. Singular linear quadratic problems; Time-optimal problems and Fuller’s phenomenon; The maximum principle; Optimal problems on Lie groups; Symmetry, integrability and the Hamilton-Jacobi theory; Integrable Hamiltonian systems on Lie groups: Review quote Review of the hardback: European Mathematical Society Review of the hardback: Jurdjevci strongly recommend GCT for the use of teachers and graduate students of control theory, mechanics and mathematics especially dynamical systems and geometdic geometryas well as for the mathematician new to control theory.
It is a helpful guide for anyone engaged in research or applications of optimal control.
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