On the Robust Stabilization of One Class of Nonlinear Discrete Systems


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Abstract

We study the problem of robust linear stabilization of a family of nonlinear discrete control systems with uncertainties and nonlinearly dependent control. We establish sufficient conditions for the robust stabilization and synthesize linear regulators of state engaged in the robust stabilization. The obtained necessary conditions for the robust stabilization are close to sufficient.

About the authors

V. I. Korobov

Karazin Kharkiv National University

Author for correspondence.
Email: vkorobov@univer.kharkov.ua
Ukraine, Svobody Square, 4, Kharkiv, 61022

A. V. Lutsenko

Karazin Kharkiv National University

Email: vkorobov@univer.kharkov.ua
Ukraine, Svobody Square, 4, Kharkiv, 61022

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