Details

Autor(en) / Beteiligte

• Mathias Hudoba de Badyn
• Mesbahi, Mehran

Titel

[Formula Omitted] Performance of Series-Parallel Networks: A Compositional Perspective

Ist Teil von

• IEEE transactions on automatic control, 2021-01, Vol.66 (1), p.354

Ort / Verlag

New York: The Institute of Electrical and Electronics Engineers, Inc. (IEEE)

Erscheinungsjahr

2021

Quelle

IEEE Electronic Library (IEL)

Beschreibungen/Notizen

• We examine the [Formula Omitted] norm of matrix-weighted leader–follower consensus on series–parallel networks. By using an extension of electrical network theory on matrix-valued resistances, voltages, and currents, we show that the computation of the [Formula Omitted] norm can be performed efficiently by decomposing the network into atomic elements and composition rules. Finally, we examine the problem of efficiently adapting the matrix-valued edge weights to optimize the [Formula Omitted] norm of the network.