Conclusion
The use of the Lyapunov matrix function in the theory of absolute stability of a singularly perturbed system may turn out to be preferable to the method of the scalar [4] or vector function [2, 15, 16] because of two circumstances: the LMF broadens the possibilities for the dynamical properties of the degenerate system (2.2) and of the boundary-layer system (2.3), and may give a more accurate estimate of the upper value of the parameter μ.
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Institute of Mechanics, Academy of Sciences of the Ukrainian SSR, Kiev. Translated from Prikladnaya Mekhanika, Vol. 23, No. 9, pp. 103–110, September, 1987.
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Martynyuk, A.A., Miladzhanov, V.G. Absolute stability of a singularly perturbed Lur'e system and Lyapunov's matrix function. Soviet Applied Mechanics 23, 889–895 (1987). https://doi.org/10.1007/BF00887796
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DOI: https://doi.org/10.1007/BF00887796