$H_\infty$ Performance Analysis of Large-Scale Networked Systems

This article is concerned with the
$H_\infty$
performance problems for large-scale networked systems comprising many subsystems. The connections among these subsystems with different dynamics are arbitrary and linear time-invariant. Necessary and sufficient conditions have been derived for
$H_\infty$
performance, in which the system structure is sufficiently utilized and higher computational efficiency is obtained. Furthermore, several analysis conditions that rely solely on individual subsystem parameters are obtained. The effectiveness and ascendancy of the derived conditions are verified by some numerical simulations.