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Journal of Mathematical Sciences

, Volume 203, Issue 3, pp 409–426 | Cite as

On the absolute stability of imprecise large-scale singularly perturbed systems

  • A. S. Khoroshun
Article
  • 19 Downloads

We study an imprecise large-scale singularly perturbed system of differential equations. By using matrixvalued Lyapunov functions for subsystems, we construct a scalar-valued Lyapunov function that enables us to establish the absolute parametric stability of the original system. We estimate the set of values of the parameters for which the system possesses this property.

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References

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Copyright information

© Springer Science+Business Media New York 2014

Authors and Affiliations

  1. 1.Institute of Mechanics, Ukrainian National Academy of SciencesKievUkraine

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