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On maximal deviation of linear system

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Abstract

An analytical solution of the B.V. Bulgakov problem of maximum of the norm of finite state of the stationary linear system with one control (perturbation) function taking values over an interval was proposed. The switching function of the worst relay perturbation was shown to depend on time and coordinates and be the product of the phase system vector, its transition matrix transposed to it, and the transposed column of the coefficients at perturbation.

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Authors and Affiliations

  1. Gubkin Russian State University of Oil and Gas, Moscow, Russia

    V. N. Zhermolenko

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  1. V. N. Zhermolenko
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Original Russian Text © V.N. Zhermolenko, 2012, published in Avtomatika i Telemekhanika, 2012, No. 7, pp. 3–14.

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Zhermolenko, V.N. On maximal deviation of linear system. Autom Remote Control 73, 1117–1125 (2012). https://doi.org/10.1134/S0005117912070016

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  • DOI: https://doi.org/10.1134/S0005117912070016

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