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Estimates of the attraction domain of linear systems under L 2-bounded control

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Abstract

Using the linear matrix inequality technique, in this paper we construct a convex estimate of the attraction domain for a linear system with L 2-bounded control in the form of linear static state feedback. A robust statement of the problem is also studied, when the control system contains structured matrix uncertainty. The results of numerical simulations are presented.

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Authors and Affiliations

  1. Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia

    M. V. Khlebnikov

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  1. M. V. Khlebnikov
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Correspondence to M. V. Khlebnikov.

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Original Russian Text © M.V. Khlebnikov, 2015, published in Avtomatika i Telemekhanika, 2015, No. 3, pp. 3–12.

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Khlebnikov, M.V. Estimates of the attraction domain of linear systems under L 2-bounded control. Autom Remote Control 76, 369–376 (2015). https://doi.org/10.1134/S0005117915030017

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  • DOI: https://doi.org/10.1134/S0005117915030017

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