Asymptotic properties of delayed matrix exponential functions via Lambert function

DOI10.3934/DCDSB.2018008zbMath1374.34244OpenAlexW2767157329MaRDI QIDQ1678294

Zdeněk Svoboda, Josef Diblík

Publication date: 14 November 2017

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2018008

zbMATH Keywords

instabilityasymptotic behaviorprincipal partLambert functiondelayed matrix exponential

Mathematics Subject Classification ID

Asymptotic theory of functional-differential equations (34K25) Linear functional-differential equations (34K06)

Related Items (1)

Consensus tracking for second-order multi-agent system with pure delay using the delay exponential matrices

Cites Work

• Fredholm's boundary-value problems for differential systems with a single delay
• On the Lambert \(w\) function
• Relative Controllability in Systems with Pure Delay
• Matrix Bruhat decompositions with a remark on the QR(GR) algorithm
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