Details

Autor(en) / Beteiligte

• Baggio, Giacomo
• Zampieri, Sandro

Titel

Controllability of Large-Scale Networks: The Control Energy Exponents

Ist Teil von

• IEEE transactions on control of network systems, 2024-06, Vol.11 (2), p.808-820

Ort / Verlag

Piscataway: IEEE

Erscheinungsjahr

2024

Quelle

IEEE Electronic Library Online

Beschreibungen/Notizen

• In this article, we characterize the control energy behavior of large-scale linear network systems controlled by a single input. Specifically, we establish conditions under which two widely used control energy metrics, namely: 1) the inverse of the minimum eigenvalue and 2) the normalized determinant of the controllability Gramian, grow exponentially fast in the system dimension and derive closed-form expressions for their asymptotic exponential growth rate. We apply our findings to structured and random network architectures.