Consider a system described by = ax + x2 + bx1(x + x: X2 = -X1...

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Consider a system described by = ax¡ + x2 + bx1(xí + x: X2 = -X1 = -x¡ – ax2 + bx2(x} + x3) where a and b are constant parameters. Show that the origin of a linearized system is Lyapunov stable for |a| < 1 and unstable for la| > 1. Consider a system described by = ax¡ + x2 + bx1(xí + x: X2 = -X1 = -x¡ – ax2 + bx2(x} + x3) where a and b are constant parameters. Show that the origin of a linearized system is Lyapunov stable for |a| < 1 and unstable for la| > 1.

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Our first step is to linearize the functio... View the full answer