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Determination of the coefficients of a quadratic Lyapunov function with given properties

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Abstract

We discuss the possibility of choosing the coefficients of a quadratic Lyapunov function so as to ensure the sign negativeness of its first derivative (first difference) with a given margin.

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Authors and Affiliations

  1. Institute of Information Technology, Mathematics and Mechanics, Lobachevsky State University of Nizhny Novgorod, Nizhny Novgorod, Russia

    O. G. Antonovskaya

  2. Nizhny Novgorod State University of Architecture and Civil Engineering, Nizhny Novgorod, Russia

    O. G. Antonovskaya

Authors
  1. O. G. Antonovskaya
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Correspondence to O. G. Antonovskaya.

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Original Russian Text © O.G. Antonovskaya, 2016, published in Differentsial’nye Uravneniya, 2016, Vol. 52, No. 3, pp. 275–281.

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Antonovskaya, O.G. Determination of the coefficients of a quadratic Lyapunov function with given properties. Diff Equat 52, 265–271 (2016). https://doi.org/10.1134/S0012266116030010

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  • DOI: https://doi.org/10.1134/S0012266116030010

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