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arXiv · 1907.04095

A note on uniform exponential stability of linear periodic time-varying systems

Robert Vrabel
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Abstract

In this paper we derive new criterion for uniform stability assessment of the linear periodic time-varying systems $\dot x=A(t)x,$ $A(t+T)=A(t).$ As a corollary, the lower and upper bounds for the Floquet characteristic exponents are established. The approach is based on the use of logarithmic norm of the system matrix $A(t).$ Finally we analyze the robustness of the stability property under external disturbance.

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Robert Vrabel. 2019-07-09. A note on uniform exponential stability of linear periodic time-varying systems. https://doi.org/10.1109/tac.2019.2927949

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