Question: 1 . 7 . 1 You are given a nonlinear input - output system which satisfies the nonlinear differential equation: y ( t ) =

1.7.1 You are given a nonlinear input-output system which satisfies the nonlinear differential equation: y(t)=2y (y 2+1)(y +1)+ u.(a) Obtain a nonlinear state-space representation. (b) Linearize this system of equations around its equilibrium output trajectory when u()0, and write it in state space form.

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