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Difference inequalities and their applications to stability problems

Section I

Part of the Lecture Notes in Mathematics book series (LNM,volume 243)

Keywords

  • Lyapunov Function
  • Asymptotic Stability
  • Stability Property
  • Trivial Solution
  • Fundamental Matrix

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References

  1. Halanay, A. Differential equations. Stability, Oscillations, Time-lags. Acad. Press, 1966.

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  2. Lakshmikantham, V. and Leela, S. Differential and integral inequalities, I. Acad. Press, 1969.

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  3. Sugiyama, S. Bull.Sci.Engr.Research Lab.Waseda Univ. 45, 140–144 (1969).

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  4. Sugiyama, S. Proc. Japan Acad. 45, 526–529(1969).

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  5. Sugiyama, S. Mem.School Sci.Engr.Waseda Univ. 32, 79–88(1969).

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  6. Sugiyama, S. Bul.Sci.Engr.Research Lab.Waseda Univ. 47, 77–82 (1970).

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  7. Szegö, G. and Kalman, R. C.R.Acad.Sci.Paris, 257, 388–390(1963).

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  8. Vidal, P. Non-linear sampled-data systems. Gordon and Breach, 1969.

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© 1971 Springer-Verlag

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Sugiyama, S. (1971). Difference inequalities and their applications to stability problems. In: Urabe, M. (eds) Japan-United States Seminar on Ordinary Differential and Functional Equations. Lecture Notes in Mathematics, vol 243. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0058714

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  • DOI: https://doi.org/10.1007/BFb0058714

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-05708-6

  • Online ISBN: 978-3-540-37080-2

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