Saxena, AditiTripathy, TwinkleAnguluri, Rajasekhar2024-11-142024-11-142024-10-17https://doi.org/10.48550/arXiv.2410.13700http://hdl.handle.net/11603/36995In this paper, we explore the property of eventual exponential positivity (EEP) in complex matrices. We show that this property holds for the real part of the matrix exponential for a certain class of complex matrices. Next, we present the relation between the spectral properties of the Laplacian matrix of an unsigned digraph with complex edge-weights and the property of real EEP. Finally, we show that the Laplacian flow system of a network is stable when the negated Laplacian admits real EEP. Numerical examples are presented to demonstrate the results.6 pagesen-USAttribution 4.0 International CC BY 4.0 Deedhttps://creativecommons.org/licenses/by/4.0/Electrical Engineering and Systems Science - Systems and ControlComputer Science - Systems and ControlText