Name
Abstract | ||
|---|---|---|
The problem of establishing synchronization of a class of impulsive oscillators is considered. Each impulsive oscillator is modeled as a hybrid system that self resets to zero when its state reaches a threshold and is externally reset via an impulsive update law when information from other oscillators is received. At every reset to zero, the oscillators broadcast a packet and select a different communication channel. The mechanism resembles that of a firefly model in which the external resets correspond to flashes of the fireflies. Oscillators can only receive information when they are on the same channel that a packet was broadcast. This mechanism leads to the possibility of information loss. Under such a communication constraint, we show that the coupled impulsive oscillators (almost globally) synchronize their channel selections. To establish this result, we model the interconnection of oscillators as a hybrid system and apply recently developed Lyapunov stability tools. Numerical simulations are included to illustrate the results. |
Year | DOI | Venue |
|---|---|---|
2012 | 10.1109/ACC.2012.6315647 | American Control Conference |
Keywords | Field | DocType |
Lyapunov methods,cognitive radio,interconnections,oscillators,synchronisation,telecommunication channels,telecommunication control,Lyapunov stability tools,broadcasting,channel selection synchronization,cognitive radio,communication channel,communication constraints,coupled impulsive oscillators,dynamical systems,external resets,firefly flashes,firefly model,hybrid system,impulsive oscillator synchronization,information loss,oscillator interconnection,packet broadcasting | Broadcasting,Synchronization,Computer science,Synchronization networks,Control theory,Network packet,Communication channel,Lyapunov stability,Control engineering,Exponential stability,Hybrid system | Conference |
ISSN | ISBN | Citations |
0743-1619 E-ISBN : 978-1-4673-2102-0 | 978-1-4673-2102-0 | 2 |
PageRank | References | Authors |
0.49 | 4 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Sean Phillips | 1 | 15 | 4.66 |
| Ricardo G. Sanfelice | 2 | 216 | 27.88 |
| R. Scott Erwin | 3 | 2 | 0.49 |