Bilinear Control Systems


  • Tytuł: Bilinear Control Systems
  • Autor: David Elliot
  • Wydawnictwo: Springer Verlag
  • Data wydania: 2009
  • Słowa kluczowe:
  • Kategorie: matematyka / mathematics
  • ISBN: 978-1-4020-9612-9
  • Opis: This book introduces and surveys bilinear control systems theory from a mathematical viewpoint. The exposition is at the first-year graduate level. Topics include an introduction to Lie algebras, matrix groups and semigroups; the controllability, stabilization, and observability of bilinear systems; nonlinear systems analytically equivalent to bilinear systems; series representations for input-outputmappings; and random inputs. To assist the reader there are exercises; Mathematica scripts; and appendices on matrix analysis, differentiable maps and manifolds, Lie algebra, and Lie groups. TOC:1. Introduction.- 2. Lie Algebras, Lie Groups.- 3. Systems in Drift.- 4. Discrete Time Bilinear Systems.- 5. Systems with Outputs.- 6. Examples.- 7. Linearization.- 8. Input Structures.- A. Matrix Algebra.- B. Lie Algebras and Groups.- C. Algebraic Geometry.- D. Transitive Lie Algebras.- References.- Index.

    • Kup książkę: Bilinear Control Systems


    Bilinear Control Systems - David Elliot

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