Input/Output Properties

  • O. Hijab
Part of the Applications of Mathematics book series (SMAP, volume 20)


Consider an idealization of a point mass in the presence of an inverse square force field −k/r 2.


Transfer Function Entire Function Minimal Polynomial State Trajectory Range Space 
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Notes and References

  1. [1.1]
    R. W. Brockett, Finite Dimensional Linear Systems, Wiley, New York, 1970.zbMATHGoogle Scholar
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    E. G. Gilbert, “Controllability and Observability in Multivariable Control Systems,” SIAM J. Control Optim., 1 (1963), 128–151.zbMATHGoogle Scholar
  3. [1.3]
    M. Hazewinkel, “Moduli and Canonical Forms for Linear Dynamical Systems,” appears in [1.8].Google Scholar
  4. [1.4]
    M. W. Hirsch and S. Smale, Differential Equations, Dynamical Systems, and Linear Algebra, Academic Press, New York, 1974.zbMATHGoogle Scholar
  5. [1.5]
    R. E. Kaiman, “Canonical Structure of Linear Dynamical Systems,” Proc. Nat. Acad. Sci. U.S.A., 48 (1962), 596–600.MathSciNetCrossRefGoogle Scholar
  6. [1.6]
    R. E. Kaiman, “Mathematical Description of Linear Dynamical Systems,” SIAM J. Control Optim., 1 (1963), 152–192.Google Scholar
  7. [1.7]
    R. E. Kaiman, Y. C. Ho, and K. S. Narendra, “Controllability of Linear Dynamical Systems,” in Contributions to the Theory of Differential Equations, Vol. I. Interscience, New York, 1963.Google Scholar
  8. [1.8]
    C. Martin and R. Hermann (eds.), Proceedings of the 1976 Ames Research Center (NASA) Conference on Geometric Control Theory, Mathematical Science Press, Brookline, MA, 1977.Google Scholar
  9. [1.9]
    L. S. Pontrjagin, “Optimal Regulation Processes,” Uspekhi Mat. Nauk. (N.S.), 14 (1959), 3–20. (AMS Translations (Series 2), 18 (1961), 321-340.).MathSciNetGoogle Scholar
  10. [1.10]
    W. Rudin, Real and Complex Analysis, McGraw-Hill, New York, 1970.Google Scholar
  11. [1.11]
    E. M. Stein and G. Weiss, Fourier Analysis in Euclidean Space, Princeton University Press, Princeton, NJ, 1971.Google Scholar

Copyright information

© Springer Science+Business Media New York 1987

Authors and Affiliations

  • O. Hijab
    • 1
  1. 1.Mathematics DepartmentTemple UniversityPhiladelphiaUSA

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