Asymptotics of the anisotropic norm of linear time-invariant systems

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

Asymptotics of the anisotropic norm of linear time-invariant systems

I. G. Vladimirov^*
, A. P. Kurdyukov
, A. V. Semenov

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

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.

Original language	English
Pages (from-to)	78-87
Number of pages	10
Journal	Avtomatika i Telemekhanika
Issue number	3
Publication status	Published - Mar 1999
Externally published	Yes

Cite this

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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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AU - Vladimirov, I. G.

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AU - Semenov, A. V.

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N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/0033092622

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Asymptotics of the anisotropic norm of linear time-invariant systems

Abstract

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