Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



A matrix equation related to a non-oscillation criterion and Liapunov stability

Author: William T. Reid
Journal: Quart. Appl. Math. 23 (1965), 83-87
MSC: Primary 15.35
DOI: https://doi.org/10.1090/qam/176997
MathSciNet review: 176997
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  • [1] R. Bellman, Introduction to matrix analysis, McGraw-Hill, 1960 MR 0122820
  • [2] W. Hahn, Theorie und Anwendung der direkten Methode von Ljapunov, Ergebnisse der Mathematik und ihrer Grenzgebiete, Neue Folge, Heft 22, Springer-Verlag, 1959 MR 0106314
  • [3] R. E. Kalman, Y. C. Ho and K. S. Narendra, Controllability of linear dynamical systems, Contributions to Differential Equations, Vol. 1, Interscience, 1963, pp. 189-213 MR 0155070
  • [4] J. LaSalle and S. Lefschetz, Stability by Liapunov's direct method with applications, Academic Press, 1961 MR 0132876
  • [5] J. P. LaSalle, The time optimal control problem, Contributions to the Theory of non-linear Oscillations, vol. 5, Princeton University Press, 1960, pp. 1-24 MR 0145169
  • [6] W. T. Reid, Riccati matrix differential equations and non-oscillation criteria for associated linear differential systems, Pacific J. Math. 13 (1963) 665-685 MR 0155049
  • [7] W. T. Reid, Principal solutions of non-oscillatory linear differential systems, to appear in J. Math. Anal, and Appl. MR 0168854

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DOI: https://doi.org/10.1090/qam/176997
Article copyright: © Copyright 1965 American Mathematical Society

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