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arXiv · 1903.00873

Criterion for robustness of global asymptotic stability to perturbations of linear time-varying systems

Robert Vrabel
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Abstract

In this brief note, we establish a novel criterion for robustness of global asymptotic stability of zero solution of LTV system $\dot x=A(t)x$ in the presence of possibly unbounded perturbations (external disturbances). To prove the result, logarithmic norm will be used under which the stability becomes a topological notion depending on the chosen vector norm in the state-space $\mathbb{R}^n.$

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Robert Vrabel. 2019-03-03. Criterion for robustness of global asymptotic stability to perturbations of linear time-varying systems. https://doi.org/10.1080/03081079.2020.1870223

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