Question: Consider the following system x, =-x, +Ex,(x+x)sin(x +x) x, =x, + Ex,(x+x)sin(x; +x) a) Show that the origin is an equilibrium point of the

Consider the following system x, =-x, +Ex,(x+x)sin(x +x) x, =x, + Ex,(x+x)sin(x;

Consider the following system x, =-x, +Ex,(x+x)sin(x +x) x, =x, + Ex,(x+x)sin(x; +x) a) Show that the origin is an equilibrium point of the system. b) Linearize the system about this equilibrium point. c) Can you use Lyapunov indirect method to test the stability of the system?

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