We establish the conditions of asymptotic stability of a linear system of matrix differential equations with quasiperiodic coefficients on the basis of constructive application of the principle of comparison with a Lyapunov matrix-valued function.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 61, No. 4, pp. 464–471, April, 2009.
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Lila, D.M., Martynyuk, A.A. On the theory of stability of matrix differential equations. Ukr Math J 61, 556–565 (2009). https://doi.org/10.1007/s11253-009-0233-x
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DOI: https://doi.org/10.1007/s11253-009-0233-x