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 Could you please try to explain to me how we get the solution because I want to understand the solution so that to be solved step by step including all of the details
If the conditions for a time-invariant optimal control law are satisfied by a linear regulator problem, the constant K matrix must be a solution of the nonlinear algebraic equations Using this result, determine the optimal control laws for: a) The first-order system x(t)-ax(t) + u (t) with performance measure 0 Show the variation of the pole of the closed-loop system for 0 r oo The final Solution- For part (a); The Riccati equation with K - 0 is 2r How we get the solution, which is How we get the feedback gain, which is The d. e for the close loop system is

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