This article is cited in 2 papers

Bounded perturbations of nonlinear discrete systems: estimation of impact and minimization

V. M. Kuntsevich

Space Research Institute, National Academy of Sciences of Ukraine, Kiev, Ukraine

Abstract: The problem of minimizing the impact of bounded perturbations on certain classes of controlled nonlinear discrete systems is solved. The radius of the invariant set, an analog of variance for the perturbations of probabilistic nature, is taken as a measure of the impact. The cases of two-sided linear and nonlinear constraints that form multivalued mappings and also the case in which the nonlinear function has a given estimate of the norm are considered.

Keywords: robust control, nonlinear discrete systems, bounded perturbations.


Received: 13.07.2018
Revised: 04.09.2018
Accepted: 08.11.2018

DOI: 10.1134/S0005231019090046

 English version: Automation and Remote Control, 2019, 80:9, 1574–1590

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