摘要:AbstractThe paper is devoted to the solutions of high-accuracy of the synthesis problem of optimal regulators with the frequency-time method. The problem for finding the optimal regulators by output variable in the stationary and periodic cases is considered and an iteration scheme for solution such problems supported symbolic computation is proposed. The solutions of high-accuracy of the matrix algebraic equations of Riccati, Lyapunov and Sylvester are given. At first the inverse optimal stabilization problem by output variable is investigated. Using the method of linear matrix inequalities the computational algorithms are proposed. The obtained results have been applied to practice, including to the optimal control problem used in oil extraction of gas lift method.