Question: Consider the following state-space model, where the state-variables are linear position, x(t), and rotational position, theta(t). MATLAB returns the results listed and the initial conditions

 Consider the following state-space model, where the state-variables are linear position,

Consider the following state-space model, where the state-variables are linear position, x(t), and rotational position, theta(t). MATLAB returns the results listed and the initial conditions are x(0)=l and theta (0) = 0. [x (t)) theta (t)] = [- 2 1 1 - 2] [x (e) theta (t)] + [1 0] u (t) = A [x (t) theta (t)] + Bu (t). MATALAB command: [S, Lam] = eig (A), returned S = [1 1 - 1 1] Lam = [- 3 0 0 - 1] Is this system stable and why? What is the transient response of both state variables (i.e. u(t) = 0 and find x(t) and theta (t))

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