Stabilizing a random dynamics network with a random communications network
Saeed Manaffam, Mohammad Razeghi-Jahromi, Alireza Seyedi · 2012
We study a networked control system with identical linear time-invariant subsystems and identical couplings. Using the Lyapunov method, we derive a sufficient network stability condition. Then, based on this condition we calculate bounds on the probability of stability of a random dynamics network with a random communications network. Finally, we investigate the stability trends of the random networks in the asymptotic regime. Numerical examples validate our analytical results.