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JOURNALS // Avtomatika i Telemekhanika // Archive

Avtomat. i Telemekh., 2023 Issue 10, Pages 150–168 (Mi at16154)

Robust, Adaptive and Network Control

Numerical methods for robust performance analysis of linear discrete-time polytopic systems with respect to random disturbances

A. A. Belov

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

Abstract: Discrete linear polytopic systems affected by random correlated stationary disturbances are considered. New numerical methods for estimating of the anisotropic norm of a polytopic system using linear matrix inequalities are proposed.

Keywords: polytopic uncertainties, LMI, mean anisotropy, random processes, analysis.

Presented by the member of Editorial Board: M. V. Khlebnikov

Received: 16.05.2023
Revised: 19.07.2023
Accepted: 31.08.2023

DOI: 10.31857/S0005231023100124


 English version:
Automation and Remote Control, 2023, 84:10, 1122–1136


© Steklov Math. Inst. of RAS, 2026