A-6-3 For the systems described by (1) √ * = x₂2 x₂ = -x₂-2sinx₁ [x₁ = x₂ (2) x₂-x₂-3x₂ +0.25x3 x3 = X₁ X3 X3 (a)Determi

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A 6 3 For The Systems Described By 1 X 2 X X 2sinx X X 2 X X 3x 0 25x3 X3 X X3 X3 A Determi 1 (81.37 KiB) Viewed 47 times

A-6-3 For the systems described by (1) √ * = x₂2 x₂ = -x₂-2sinx₁ [x₁ = x₂ (2) x₂-x₂-3x₂ +0.25x3 x3 = X₁ X3 X3 (a)Determine the equilibrium states for each system. (b)Obtain the linearized equations about the equilibrium points. (c)Determine whether the system is asymptotically stable or unstable in the neighborhood of its equilibrium points. A-6-4 Consider the following system 1 -2 2 x = 0 -1 0 -3 0x + 0 2 -1 02 P= ? And choose Q=000. Find P = ? 000 0 U₁ U₂ Use the Lyapunov equation to determine the stability of the system. Choose Q = I. Find 100