Problem 3: Consider the following infinite horizon least squares quadratic regulator LTI system: x(t) 0 0 -5 x(t) + x(0) = = y(t)= 3.

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)