Details

Autor(en) / Beteiligte

• de Badyn, Mathias Hudoba
• Mesbahi, Mehran

Titel

2} Performance of Series-Parallel Networks: A Compositional Perspective

Ist Teil von

• IEEE transactions on automatic control, 2021-01, Vol.66 (1), p.354-361

Ort / Verlag

IEEE

Erscheinungsjahr

2021

Link zum Volltext

• IEEE_Xplore

Quelle

IEEE Xplore

Beschreibungen/Notizen

• We examine the <inline-formula><tex-math notation="LaTeX">\mathcal {H}_2</tex-math></inline-formula> 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 <inline-formula><tex-math notation="LaTeX">{\mathcal {H}_2}</tex-math></inline-formula> 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 <inline-formula><tex-math notation="LaTeX">{\mathcal {H}_2}</tex-math></inline-formula> norm of the network.