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eess.SY2024
Are the flows of complex-valued Laplacians and their pseudoinverses related?
Aditi Saxena, Twinkle Tripathy, Rajasekhar Anguluri
Laplacian flows model the rate of change of each node's state as being proportional to the difference between its value and that of its neighbors. Typically, these flows capture di…
eess.SY2024
Real Eventual Exponential Positivity of Complex-valued Laplacians: Applications to Consensus in Multi-agent Systems
Aditi Saxena, Twinkle Tripathy, Rajasekhar Anguluri
In 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 fo…