Geodesic
The $\mathcal H_2$ norm of a transfer function of a neutral type equation
Vestnik Sankt-Peterburgskogo universiteta. Prikladnaâ matematika, informatika, processy upravleniâ, no. 4 (2012), pp. 117-123

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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.
Keywords: transfer function, delays, $\mathcal H_2$ norm. 
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     author = {V. A. Sumacheva},
     title = {The $\mathcal H_2$ norm of a transfer function of a neutral type equation},
     journal = {Vestnik Sankt-Peterburgskogo universiteta. Prikladna\^a matematika, informatika, processy upravleni\^a},
     pages = {117--123},
     publisher = {mathdoc},
     number = {4},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSPUI_2012_4_a11/}
}
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V. A. Sumacheva. The $\mathcal H_2$ norm of a transfer function of a neutral type equation. Vestnik Sankt-Peterburgskogo universiteta. Prikladnaâ matematika, informatika, processy upravleniâ, no. 4 (2012), pp. 117-123. http://geodesic.mathdoc.fr/item/VSPUI_2012_4_a11/