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Asymptotic stability of dynamical systems with Barbalat’s lemma and Lyapunov function

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The article explains Barbalat’s lemma, combining the application of Barbalat’s lemma, the Lyapunov function, and the theorem Lagrange to ensure mathematical certainty in analyzing the asymptotic stability of a non-autonomous control system. Research results are illustrated and simulated with visual examples of uncontrolled and controlled dynamical systems. |

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