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1. (20pts) Consider the following nonlinear system: X1 = -x1 + X1X2 X2 = Xi + x2 - 2x1*2 + u a) (4pts) Assume that

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1. (20pts) Consider the following nonlinear system: X1 = -x1 + X1X2 X2 = Xi + x2 - 2x1*2 + u a) (4pts) Assume that at the operating point, uo = 0. Determine all the operating points (equilibrium points). b) (10pts) Linearize about each operating point determined in (a). c) (6pts) Determine the eigenvalues of A for each of the linear systems determined in (b)

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