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.
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Translated from Neliniini Kolyvannya, Vol. 18, No. 4, pp. 527–539, October–December, 2015.
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Korobov, V.I., Lutsenko, A.V. On the Robust Stabilization of One Class of Nonlinear Discrete Systems. J Math Sci 220, 483–497 (2017). https://doi.org/10.1007/s10958-016-3196-0
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DOI: https://doi.org/10.1007/s10958-016-3196-0