Question: 1) Consider the autonomous system -h(x,)-x where the function h is locally Lipschitz with h(0) 0 and x,h(x,) >0, Vx, 0, %3D Take the

1) Consider the autonomous system -h(x,)-x where the function h is locally

1) Consider the autonomous system -h(x,)-x where the function h is locally Lipschitz with h(0) 0 and x,h(x,) >0, Vx, 0, %3D Take the Lyapunov function Determine the range of k to be the origin asymptotically stable.

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