Optimal Control and Geometry: Integrable Systems

Released on by Velimir Jurdjevic
preview-18

  • Optimal Control and Geometry: Integrable Systems Book Detail

  • Author : Velimir Jurdjevic
  • Release Date : 2016-07-04
  • Publisher : Cambridge University Press
  • Genre : Mathematics
  • Pages : 437
  • ISBN 13 : 1316586332
  • File Size : 18,18 MB
DOWNLOAD BOOK

Optimal Control and Geometry: Integrable Systems by Velimir Jurdjevic PDF Summary

Book Description: The synthesis of symplectic geometry, the calculus of variations and control theory offered in this book provides a crucial foundation for the understanding of many problems in applied mathematics. Focusing on the theory of integrable systems, this book introduces a class of optimal control problems on Lie groups, whose Hamiltonians, obtained through the Maximum Principle of optimality, shed new light on the theory of integrable systems. These Hamiltonians provide an original and unified account of the existing theory of integrable systems. The book particularly explains much of the mystery surrounding the Kepler problem, the Jacobi problem and the Kovalevskaya Top. It also reveals the ubiquitous presence of elastic curves in integrable systems up to the soliton solutions of the non-linear Schroedinger's equation. Containing a useful blend of theory and applications, this is an indispensable guide for graduates and researchers in many fields, from mathematical physics to space control.

Disclaimer: www.yourbookbest.com does not own Optimal Control and Geometry: Integrable Systems books pdf, neither created or scanned. We just provide the link that is already available on the internet, public domain and in Google Drive. If any way it violates the law or has any issues, then kindly mail us via contact us page to request the removal of the link.

Geometric Optimal Control

Geometric Optimal Control

File Size : 40,40 MB
Total View : 1014 Views
DOWNLOAD

This book gives a comprehensive treatment of the fundamental necessary and sufficient conditions for optimality for finite-dimensional, deterministic, optimal c

Geometric Control Theory

Geometric Control Theory

File Size : 87,87 MB
Total View : 4131 Views
DOWNLOAD

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 con

Optimal Control Theory for Applications

Optimal Control Theory for Applications

File Size : 42,42 MB
Total View : 5475 Views
DOWNLOAD

The published material represents the outgrowth of teaching analytical optimization to aerospace engineering graduate students. To make the material available t