Title :
Stabilizing a random dynamics network with a random communications network
Author :
Manaffam, Saeed ; Razeghi-Jahromi, Mohammad ; Seyedi, Alireza
Author_Institution :
Dept. of Electr. Eng. & Comput. Sci., Univ. of Central Florida, Orlando, FL, USA
Abstract :
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.
Keywords :
Lyapunov methods; asymptotic stability; linear systems; networked control systems; probability; Lyapunov method; asymptotic regime; identical couplings; identical linear time-invariant subsystems; network stability condition; networked control system; probability; random communications network; random dynamics network stabilization; Asymptotic stability; Communication networks; Couplings; Lyapunov methods; Numerical stability; Stability analysis; Vectors;
Conference_Titel :
Decision and Control (CDC), 2012 IEEE 51st Annual Conference on
Conference_Location :
Maui, HI
Print_ISBN :
978-1-4673-2065-8
Electronic_ISBN :
0743-1546
DOI :
10.1109/CDC.2012.6425998
