I have this problem to solve:
Use Barbalat’s Lemma to show the stability of equilibrium point $x=0$ for the system $\dot{x}=-x+p\sin(t)$ and $\dot{p}=-p\sin(t)$.
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Hi and welcome to MSE! It is customary for users to also mention their thought process and what they have tried so far, as well as relevant definitions. – Actually Fritz Jan 14 '24 at 19:32
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A quick search for Barbalat’s Lemma and some poking around will find a solution quickly. – copper.hat Jan 14 '24 at 20:10
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@copper.hat can you offer me suitable lyapunov function? – zahra Jan 14 '24 at 20:33