The $\mathcal H_2$ norm of a transfer function of a neutral type equation

In this paper it is considered the problem of computing of a norm of a transfer function of a neutral type time-delay equation. It is known, that the Lyapunov function can be used to compute the $\mathcal H_2$ norm of linear time-invariant systems. This result is exactly the same: the $\mathcal H_2$ norm can be find with use of coefficients of the equation and the Lyapunov function for time-delay systems. In this work it is received the explicit expression for the $\mathcal H_2$ norm and the way to compute the Lyapunov function.