Unconditional stability of the Foschini-Miljanic algorithm

DOI10.1016/j.automatica.2011.09.051zbMath1244.93054OpenAlexW2008464444MaRDI QIDQ445068

Themistoklis Charalambous, Florian Knorn, A. Zappavigna

Publication date: 24 August 2012

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2011.09.051

zbMATH Keywords

stabilitypositive systemstime-varying delayspower controlchanging topologyFoschini--Miljanic algorithm

Mathematics Subject Classification ID

Positive matrices and their generalizations; cones of matrices (15B48)

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Cites Work

• Unnamed Item
• On linear co-positive Lyapunov functions for sets of linear positive systems
• Stability theory for nonnegative and compartmental dynamical systems with time delay
• On the generalized spectral subradius
• Stability Analysis and Synthesis for Linear Positive Systems with Time-Varying Delays
• Matrix Analysis
• Stability Analysis for Continuous-Time Positive Systems With Time-Varying Delays