1) Consider a non-linear physical system described by the following state space equations: x = 2x...

 

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1) Consider a non-linear physical system described by the following state space equations: x₁ = −2x² + x₁x₂ + U x₂ = 3sin (x₁) Linearize the system around the point x₁ = 0.7854 (radians), x₂ = 2. Consider also that the input u is a step of magnitude 1, that is ū – 1. 1) Consider a non-linear physical system described by the following state space equations: x₁ = −2x² + x₁x₂ + U x₂ = 3sin (x₁) Linearize the system around the point x₁ = 0.7854 (radians), x₂ = 2. Consider also that the input u is a step of magnitude 1, that is ū – 1.

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