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Доповіді НАН України. – 2008. – N 12. – С. 22–27.
Построение функции Ляпунова при выполнении теоремы Барбашина–Красовского
А.М. Ковалев, А.С. Суйков
Abstract
The paper presents a method of building a strong Lyapunov function
from a weak one for autonomous systems satisfying the conditions
of the Barbashin–Krasovskii
theorem. The method is based on results from the invariant set theory.
The resulting function is built iteratively as a sum of the initial Lyapunov
function with semidefinite derivative and several additional functions,
whose derivatives have definite signs at the points, where the
derivative of the initial function becomes zero.
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