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Problem 4: Consider the system x 1 = x 1 3 x 2 x 2 = x 1 x 2 Is the origin asymptotically stable?
Is it exponentially stable? Is it globally asymptotically stable? If not, estimate the region of
attraction.

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  • 1. Problem 4: Consider the system x 1 = x 1 3 x 2 x 2 = x 1 x 2 Is the origin asymptotically stable? Is it exponentially stable? Is it globally asymptotically stable? If not, estimate the region of attraction.