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Uniform asymptotic expresions for the fundamental matrix of singularly perturbed linear systems and applications

Part 1 Survey Paper

Part of the Lecture Notes in Mathematics book series (LNM,volume 985)

Abstract

We advocate a type of expresions for the fundamental matrix of linear singularly perturbed systems which allow to consider various stability questions as well as applications to some nonlinear problems, to Ito equations, to degenerate situations, and in control problems.

Keywords

  • Singular Perturbation
  • Fundamental Matrix
  • Synchronous Machine
  • Autocorrelation Matrix
  • Liapunov Function

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References

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© 1983 Springer-Verlag

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DrĂgan, V., Halanay, A. (1983). Uniform asymptotic expresions for the fundamental matrix of singularly perturbed linear systems and applications. In: Verhulst, F. (eds) Asymptotic Analysis II —. Lecture Notes in Mathematics, vol 985. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0062369

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  • DOI: https://doi.org/10.1007/BFb0062369

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12286-9

  • Online ISBN: 978-3-540-39612-3

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