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Solve each item supporting your answer with a clear explanation. 1. Consider the dynamical system x1(t...

Solve each item supporting your answer with a clear explanation.

1. Consider the dynamical system

x1(t + 1) = 0.1x1(t) + 0.2x2(t) + 1

x2(t + 1) = 0.4x1(t) + 0.3x2(t) + 2

a. Find the closed formula for the vector x(t).

b. Find the equilibrium state of this system and determine its stability.

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