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Embedding of Systems. Conditions of the Strict Insensitivity of Linear Systems to Nonextensive Structural Disturbances

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Abstract

Conditions are considered of the invariance of linear stationary dynamic systems, the quality of operation of which is described by an aggregate of matrix transfer functions, to structural disturbances representable in the operator form of the notation of a mathematical model without changes in the dimensions of matrices entering into this model. Parametric disturbances represent mearly a composite portion of the disturbances under examination. On the basis of the use of the technology of embedding of systems, the necessary conditions of existence of the invariance to the disturbances under study are found and also complete sets of the disturbances that do not affect the quality of operation of a system are described. An illustrative example is given.

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  1. Zhukovskii Air Force Engineering Academy, Moscow, Russia

    A. M. Bronnikov

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  1. A. M. Bronnikov
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Bronnikov, A.M. Embedding of Systems. Conditions of the Strict Insensitivity of Linear Systems to Nonextensive Structural Disturbances. Automation and Remote Control 65, 534–545 (2004). https://doi.org/10.1023/B:AURC.0000023529.23400.7e

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  • DOI: https://doi.org/10.1023/B:AURC.0000023529.23400.7e

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