Asymptotics of the anisotropic norm of linear time-invariant systems

Vladimirov, I. G.; Kurdyukov, A. P.; Semenov, A. V.

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Asymptotics of the anisotropic norm of linear time-invariant systems

Date

1999

Authors

Vladimirov, I. G.

Kurdyukov, A. P.

Semenov, A. V.

Abstract

A-anisotropic norm of a stationary linear system with discrete time is considered. The norm describes the system sensitivity to the input Gaussian noises. The mean anisotropy of these noises is placed an upper limit by the parameter a. The convergence asymptotics of this norm to its limiting values is studied at a→+0 and a→+∞. The limiting values coincide with H2 and H∞ norms in corresponding Hardy spaces of matrix transfer functions.

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https://hdl.handle.net/1885/733810370

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ANU Research Publications

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Avtomatika i Telemekhanika

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Journal article

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Asymptotics of the anisotropic norm of linear time-invariant systems

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