Stabilizing a random dynamics network with a random communications network

Stabilizing a random dynamics network with a random communications network

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 w...

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Bibliographische Detailangaben
Hauptverfasser: Manaffam, S., Razeghi-Jahromi, M., Seyedi, A.
Format: Tagungsbericht
Sprache:eng
Schlagworte:
Asymptotic stability
Communication networks
Couplings
Lyapunov methods
Numerical stability
Stability analysis
Vectors
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Beschreibung
Zusammenfassung: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.
ISSN:0191-2216
DOI:10.1109/CDC.2012.6425998