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Phase Portraits of Control Dynamical Systems

  • Book
  • © 1991

Overview

Authors:
  1. Anatoliy G. Butkovskiy

    1. Laboratory for Distributed Parameter Systems, Institute of Control Sciences, Moscow, USSR

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Part of the book series: Mathematics and its Applications (MASS, volume 63)

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Table of contents (40 chapters)

  1. Front Matter

    Pages i-2
    Download chapter PDF

  2. Introduction

    • Anatoliy G. Butkovskiy
    Pages 3-8

  3. Controllable Dynamical System (CDS)

    • Anatoliy G. Butkovskiy
    Pages 9-10

  4. Differential Inclusion. Equivalence Classes of CDS

    • Anatoliy G. Butkovskiy
    Pages 11-15

  5. Transformation of CDS to Phase Velocity Unit Vector

    • Anatoliy G. Butkovskiy
    Pages 16-17

  6. Indicatrix of CDS

    • Anatoliy G. Butkovskiy
    Pages 18-20

  7. Degree of Freedom in Control of CDS

    • Anatoliy G. Butkovskiy
    Pages 21-23

  8. The Hamiltonian of CDS as a Support Function

    • Anatoliy G. Butkovskiy
    Pages 24-27

  9. Types of Cones of Admissible Direction of CDS

    • Anatoliy G. Butkovskiy
    Pages 28-32

  10. Domain of Free Trajectories of CDS

    • Anatoliy G. Butkovskiy
    Pages 33-34

  11. The Principle of Inclusion in the Event Space

    • Anatoliy G. Butkovskiy
    Pages 35-35

  12. The Boundary of an Integral Funnel of a Differential Inclusion

    • Anatoliy G. Butkovskiy
    Pages 36-38

  13. Relationship of the Boundary of an Integral Funnel with the Hamilton-Jacobi Equation

    • Anatoliy G. Butkovskiy
    Pages 39-41

  14. The Principle of Inclusion for an Autonomous CDS in the State Space Integration of CDS

    • Anatoliy G. Butkovskiy
    Pages 42-43

  15. Boundary of the Trajectory Funnel of CDS

    • Anatoliy G. Butkovskiy
    Pages 44-47

  16. Geometrical Construction of the Boundary of Trajectory Funnel

    • Anatoliy G. Butkovskiy
    Pages 48-49

  17. The Euler-Lagrange Equation for the Boundary of Trajectory Funnel

    • Anatoliy G. Butkovskiy
    Pages 50-53

  18. Hatched Boundaries of Trajectory Funnels Manifold of Reverse Hatching (MRH)

    • Anatoliy G. Butkovskiy
    Pages 54-56

  19. Singular Manifolds of CDS in State Space

    • Anatoliy G. Butkovskiy
    Pages 57-60

  20. Invariant Manifold of CDS

    • Anatoliy G. Butkovskiy
    Pages 61-67
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Keywords

Authors and Affiliations

  • Laboratory for Distributed Parameter Systems, Institute of Control Sciences, Moscow, USSR

    Anatoliy G. Butkovskiy

Bibliographic Information

  • Book Title: Phase Portraits of Control Dynamical Systems

  • Authors: Anatoliy G. Butkovskiy

  • Series Title: Mathematics and its Applications

  • DOI: https://doi.org/10.1007/978-94-011-3258-9

  • Publisher: Springer Dordrecht

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media Dordrecht 1991

  • Hardcover ISBN: 978-0-7923-1057-0Published: 31 December 1990

  • Softcover ISBN: 978-94-010-5437-9Published: 13 October 2012

  • eBook ISBN: 978-94-011-3258-9Published: 06 December 2012

  • Series ISSN: 0169-6378

  • Edition Number: 1

  • Number of Pages: IX, 170

  • Topics: Systems Theory, Control, Real Functions, Partial Differential Equations

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