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math.DS2019
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…
math.DS2019
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…
math.DS2017★ 6 cited
Frequency control of singularly perturbed forced Duffing's oscillator
Robert Vrabel, Marcel Abas
We analyze the dynamics of the forced singularly perturbed differential equation of Duffing's type. We explain the appearance of the large frequency nonlinear oscillations of the s…