Velimir Jurdjevic's Books

Optimal Control and Geometry: Integrable Systems

By: Velimir Jurdjevic

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Optimal Control and Geometry: Integrable Systems

By: Velimir Jurdjevic

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.

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Page Count

437

Publisher

Cambridge University Press

Published Date

ISBN 10

1107113881

ISBN 13

9781107113886

Geometric Control Theory

By: Velimir Jurdjevic

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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.

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Page Count

516

Publisher

Cambridge University Press

Published Date

ISBN 10

0521495024

ISBN 13

9780521495028

Integrable Hamiltonian Systems on Complex Lie Groups

By: Velimir Jurdjevic

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Integrable Hamiltonian Systems on Complex Lie Groups

By: Velimir Jurdjevic

Studies the elastic problems on simply connected manifolds $M_n$ whose orthonormal frame bundle is a Lie group $G$. This title synthesizes ideas from optimal control theory, adapted to variational problems on the principal bundles of Riemannian spaces, and the symplectic geometry of the Lie algebra $\mathfrak{g}, $ of $G$

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Page Count

150

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821837648

ISBN 13

9780821837641

Optimal Control and Geometry: Integrable Systems

By: Velimir Jurdjevic

Write a review Read reviews Take a Quiz Solve Book Puzzle

Optimal Control and Geometry: Integrable Systems

By: Velimir Jurdjevic

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.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

437

Publisher

Cambridge University Press

Published Date

ISBN 10

1107113881

ISBN 13

9781107113886

Geometric Control Theory

By: Velimir Jurdjevic

Write a review Read reviews Take a Quiz Solve Book Puzzle

Geometric Control Theory

By: Velimir Jurdjevic

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

516

Publisher

Cambridge University Press

Published Date

ISBN 10

0521495024

ISBN 13

9780521495028

Book's by Velimir Jurdjevic

Optimal Control and Geometry: Integrable Systems

Optimal Control and Geometry: Integrable Systems

Geometric Control Theory

Geometric Control Theory

Integrable Hamiltonian Systems on Complex Lie Groups

Integrable Hamiltonian Systems on Complex Lie Groups

Optimal Control and Geometry: Integrable Systems

Optimal Control and Geometry: Integrable Systems

Geometric Control Theory

Geometric Control Theory

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