Lyapunov functions are considered in the form of linear combinations of quadratic forms. We study the conditions under which the linear extensions of dynamic systems on a torus are regular.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 67, No. 10, pp. 1358–1365, October, 2016.
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Kulyk, V.L. Construction of Lyapunov Functions in the Theory of Regular Linear Extensions of Dynamical Systems on a Torus. Ukr Math J 67, 1527–1536 (2016). https://doi.org/10.1007/s11253-016-1170-0
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DOI: https://doi.org/10.1007/s11253-016-1170-0