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20172020
most citedOn the approximation of the boundary layers for the controllability problem of nonlinear singularly perturbed systems

6 citations · 12 across the 3 of their papers we have counts for

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math.OC2020

Robust adaptive state-feedback control of linear time-varying systems under both potentially unbounded system's modeling uncertainty and external disturbance

Robert Vrabel

The conceptually new approach based on the logarithmic norm to design of robust adaptive state-feedback controller for linear time-varying (LTV) systems under system's modeling unc…

math.OC2019

Asymptotic stabilization of a system of coupled th--order differential equations with potentially unbounded high-frequency oscillating perturbations

Robert Vrabel

This paper deals with an analysis and design of robust, state-feedback control law uniform-asymptotically stabilizing at origin the system consisting of coupled th--order ordina…

math.OC2019

Design of the state feedback-based feed-forward controller asymptotically stabilizing the overhead crane at the desired end position

Robert Vrabel

The problem of feed-forward control of overhead crane system is discussed. By combining the Kalman's controllability theory and Hartman-Grobman theorem from dynamical system theory…

math.OC2018

On the local asymptotic stabilization of the nonlinear systems with small time-varying perturbations by state-feedback control

Robert Vrabel

In this paper, we are interested in the relation between the solutions of the control system and the solutions of its (potentially unknown) perturbation $\dot x=f(x…

math.OC20176 cited

On the approximation of the boundary layers for the controllability problem of nonlinear singularly perturbed systems

Robert Vrabel

A new systematic approach to the construction of approximate solutions to a class of nonlinear singularly perturbed feedback control systems using the boundary layer functions espe…