Solution of a singular H∞ control problem for linear systems with state delays

An H
_∞
control problem for linear systems with point-wise and distributed state delays is considered. The case, where the output equation does not contain the control variable, is treated. In this case, the problem is singular, i.e., the game-theoretic Riccati equation approach is not applicable to its solution. A method of solution of this problem, based on its regularization and asymptotic solution of the regularized problem, is proposed.