Optimal Control and Geometry: Integrable Systems

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Optimal Control and Geometry: Integrable Systems
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    1. Beskrivelse

      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.

      Andre udgaver:

      Bog, hardback

    2. Yderligere info
      Udgivelsesdato:
      14-07-2016
      Sprog:
      Engelsk
      ISBN13:
      9781316587058
      Mærkat:
      E-bog, PDF
      Format:
      PDF
    3. Anmeldelser

      Kundernes boganmeldelser af Optimal Control and Geometry: Integrable Systems

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