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The system is asymptotically stable in the large at the origin if :

The system is asymptotically stable in the large at the origin if : Correct Answer Both a and c

By the definition of Liapunov’s stability criteria the system is asymptotically stable in the large at the origin if there exist a real number >0 such that || x (t0) || <=r and every initial state x (t0) results in x (t) tends to zero as t tends to infinity.

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