Stochastic approach to H/sub ∞/-optimization

Semyonov, A. V.; Vladimirov, Igor G.; Kurdjukov, A.

doi:10.1109/cdc.1994.411485

Cited by 40 publications

(27 citation statements)

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“…Vladimirov in [10]. The above characteristic describes the deviation of a discrete-time output sequence from a corresponding input sequence actually representing a sequence of random quantities-Gaussian (white) noise.…”

Section: Introductionmentioning

confidence: 99%

Shaping filter design with a given mean anisotropy of output signals

Kustov

Kurdyukov

2013

Autom Remote Control

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Section: Introductionmentioning

confidence: 99%

Shaping filter design with a given mean anisotropy of output signals

Kustov

Kurdyukov

2013

Autom Remote Control

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“…In [2,16], mean anisotropy of a random sequence and anisotropic norm of a linear system are defined. Mean anisotropy and anisotropic norm are fully described in [2].…”

Section: Mean Anisotropy Of the Sequence And Anisotropic Norm Of The mentioning

confidence: 99%

Conditions of anisotropic norm boundedness for descriptor systems

Andrianova

Belov

Kurdyukov

2015

J. Comput. Syst. Sci. Int.

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A class of systems, described by algebraic difference equations, is under consideration. Such systems are called descriptor (singular). For these systems the conditions of anisotropic norm boundedness are obtained. Anisotropic norm describes the root mean square gain of the system with respect to random Gaussian stationary disturbances, which are characterized by mean anisotropy. The conditions are formulated in the form of the theorem, detailed proof is given. Numerical example, illustrating anisotropic norm computation method for descriptor systems based of the proven theorem, is considered.

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“…The concepts of the mean anisotropy of Gaussian random sequences and of the anisotropic norm of linear systems were introduced in [1], [8].…”

Section: B Mean Anisotropy and Anisotropic Norm Of Linear Systemsmentioning

confidence: 99%