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Consider the simple pendulum x_ 1 = x2; x_ 2 = b ml2 x2 g l sin (x2) : Using the total energy as the candidate Lyapunov function, show that [00] is an asymptotically stable equilibrium point. Find an estimate of the region of attraction of [00] so that the projection of the region of attraction on the x1 dimension includes the interval (pi; pi)

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Consider the simple pendulum x_ 1 = x2; x_ 2 = b ml2 x2 g l sin (x2) : Using the total energy as t...

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