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

fYear

2012

fDate

10-13 Dec. 2012

Firstpage

746

Lastpage

751

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;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control (CDC), 2012 IEEE 51st Annual Conference on

Conference_Location

Maui, HI

ISSN

0743-1546

Print_ISBN

978-1-4673-2065-8

Electronic_ISBN

0743-1546

Type

conf

DOI

10.1109/CDC.2012.6425998

Filename

6425998