Approximate computation of H2 norm for linear periodic systems based on integral equation method

The paper considers the approximate computation of the H
₂
norm for linear systems with periodically varying parameters, based on applying the parametric transfer function concept, and the theory of Fredholm integral equations of the second kind. This approach allows to achieve approximate formulae for the H
₂
norm expressed by the transfer function coefficients of the stationary system part, and by the Fourier coefficients of the periodic gain. An example is provided.