Analysis reports on stabilization issues in coupled controlled inverted pendulums under stochastic perturbations, suggesting new frameworks.
To readers attention two known theorems on the stabilization of a controlled inverted pendulum under stochastic perturbations in the form of a combination of white noise and Poisson's jumps are presented. As unsolved problems, a generalization of these theorems is proposed for a mathematical model, described two coupled controlled inverted pendulums.
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Leonid Shaikhet (2025) studied this question.
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