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Analysis of invariant sets

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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.

References

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    V. LakshmikanthamS. Leela,Differential and Integral Inequalities, Theory and Applications, vol. I, Academic Press, New York, 1969.

  2. [2]

    V. LakshmikanthamS. Leela,Global results and stability of motion, to appear in the Proc. Cambridge Phil. Soc. (1971).

  3. [3]

    N. M. Anthony:Quantitative naalysis of systems: stability boundedness and trajectory behavior, Arch. Rational Mech. Anal.,38 (1970), pp. 107–122.

  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).

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Entrata in Redazione il 29 agosto 1971.

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Ladde, G.S., Leela, S. Analysis of invariant sets. Annali di Matematica 94, 283–289 (1972). https://doi.org/10.1007/BF02413615

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Keywords

  • Quantitative Analysis
  • Differential Game