13 citations · 64 across the 18 of their papers we have counts for
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Time-varying vector norm and lower and upper bounds on the solutions of uniformly asymptotically stable linear systems
Robert Vrabel
Based on the eigenvalue idea and the time-varying weighted vector norm in state space we construct here the lower and upper bounds on the solutions of uniformly asymptotically stab…
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…
A note on uniform exponential stability of linear periodic time-varying systems
Robert Vrabel
In this paper we derive new criterion for uniform stability assessment of the linear periodic time-varying systems As a corollary, the lower and uppe…
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…
Criterion for robustness of global asymptotic stability to perturbations of linear time-varying systems
Robert Vrabel
In this brief note, we establish a novel criterion for robustness of global asymptotic stability of zero solution of LTV system in the presence of possibly unbounded…