Asymptotic stability of dynamical systems with Barbalat’s lemma and Lyapunov function
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https://doi.org/10.54939/1859-1043.j.mst.CSCE6.2022.122-130Keywords:
Lemma Barbalat; Lyapunov function; Theorem Lagrange; Asymptotic stability; Non-autonomous system.Abstract
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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