Annali di Matematica Pura ed Applicata

, Volume 94, Issue 1, pp 283–289 | Cite as

Analysis of invariant sets

  • G. S. Ladde
  • S. Leela
Article

Summary

In this paper, an attempt has been made to unify the study of the qualitative and quantitative analysis of systems in a general set up so as to broaden the outlook and applicability of Lyapunov’s second method. Some new notions of quasi-invariant sets are also introduced, which play an important role in application to control theory and differential games.

Keywords

Quantitative Analysis Differential Game 

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References

  1. [1]
    V. LakshmikanthamS. Leela,Differential and Integral Inequalities, Theory and Applications, vol. I, Academic Press, New York, 1969.Google Scholar
  2. [2]
    V. LakshmikanthamS. Leela,Global results and stability of motion, to appear in the Proc. Cambridge Phil. Soc. (1971).Google Scholar
  3. [3]
    N. M. Anthony:Quantitative naalysis of systems: stability boundedness and trajectory behavior, Arch. Rational Mech. Anal.,38 (1970), pp. 107–122.MathSciNetGoogle Scholar
  4. [4]
    N. Rouche — Phien Dang-Chau,Stabilité densembles pour des equations differentielles ordinaires, rapport no. 37, september 1970, Seminaires de mathématique appliquée et mécanique, Institute de Mathématique pure et appliquée, Université Catholique de Louvain (Belgique).Google Scholar

Copyright information

© Nicola Zanichelli Editore 1972

Authors and Affiliations

  • G. S. Ladde
    • 1
    • 2
  • S. Leela
    • 1
    • 2
  1. 1.Kingston
  2. 2.GeneseoUSA

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