Solution of using the Ricatti Equation

Find the solution of this system using the Ricatti Equation:Problem 3: Consider the following infinite horizon least squares quadratic regulator LTIsystem:x(t)00 -5x(t) +x(0)==y(t)=3.1. Find the solution of the Algebraic Riccati Equation, the optimal control signal (or statefeedback strategy)

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