Abstract
The computations of the H2 and H∞ norms of finite-dimensional linear continuous-time periodic (FDLCP) systems are discussed with the frequency response operators. By the skew truncation approach, it is shown that the H2 norm can be reached to any degree of accuracy by the H2 norm of an asymptotically equivalent LTI continuous-time system. The H∞ norm computation can also be approximated by the maximum singular value of the frequency transfer function of an asymptotically equivalent LTI continuous-time system over a specified frequency range via the modified skew truncation. Hence, a Hamiltonian test is established for FDLCP systems in the LTI continuous-time fashion.
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