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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Translated from Neliniini Kolyvannya, Vol. 16, No. 4, pp. 558–574, October–December, 2013.
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Khoroshun, A.S. On the absolute stability of imprecise large-scale singularly perturbed systems. J Math Sci 203, 409–426 (2014). https://doi.org/10.1007/s10958-014-2143-1
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DOI: https://doi.org/10.1007/s10958-014-2143-1