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Robust Stability of Interval Matrices: a Stochastic Approach

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Stochastic Programming Methods and Technical Applications

Part of the book series: Lecture Notes in Economics and Mathematical Systems ((LNE,volume 458))

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Abstract

The problem of checking robust stability of interval matrices has been proved to be NP-hard. However a closely related problem can be effectively solved in the framework of the stochastic approach [1]. Moreover the deterministic interval robust stability radius happens to be very conservative for large dimensions from the probabilistic point of view.

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References

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© 1998 Springer-Verlag Berlin Heidelberg

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Polyak, B.T. (1998). Robust Stability of Interval Matrices: a Stochastic Approach. In: Marti, K., Kall, P. (eds) Stochastic Programming Methods and Technical Applications. Lecture Notes in Economics and Mathematical Systems, vol 458. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-45767-8_12

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  • DOI: https://doi.org/10.1007/978-3-642-45767-8_12

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-63924-4

  • Online ISBN: 978-3-642-45767-8

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