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Some Results on Attractivity Properties for Nonautonomous Nonlinear Systems

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New Trends in Systems Theory

Part of the book series: Progress in Systems and Control Theory ((PSCT,volume 7))

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Abstract

In this paper we concern with the asymptotic behavior of the solutions of nonautonomous nonlinear systems and, precisely, with the problem of giving sufficient conditions for the attractivity of a set and for the estimate of its regions of attraction. The used method is that of Lyapunov’s functions, which has been usefully employed by many authors in the study of attractivity problems (see, for instance, ∣2∣,∣3∣,∣8∣).

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References

  1. L. Gambardella and L. Salvadori, “On the asymptotic stability of sets”,Ricerche di Matematica, vol. XX, 1971.

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  8. T. Yoshizawa, “Asymptotic behavior of solutions in nonautonomous systems”, Lecture Notes in Pure and Appl. Math., vol. 90, Edit. V. Lakshmikantham, 1983.

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© 1991 Springer Science+Business Media New York

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Gambardella, L. (1991). Some Results on Attractivity Properties for Nonautonomous Nonlinear Systems. In: New Trends in Systems Theory. Progress in Systems and Control Theory, vol 7. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0439-8_35

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  • DOI: https://doi.org/10.1007/978-1-4612-0439-8_35

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-1-4612-6760-7

  • Online ISBN: 978-1-4612-0439-8

  • eBook Packages: Springer Book Archive

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