Paper Info
Title
Robust Asymptotic Stability of Desynchronization in Impulse-Coupled Oscillators
Abstract
The property of desynchronization in an all-to-all network of homogeneous impulse-coupled oscillators is studied. Each impulse- coupled oscillator is modeled as a hybrid system with a single timer state that self-resets to zero when it reaches a threshold, at which event all other impulse-coupled oscillators adjust their timers following a common reset law. In this setting, desynchronization is considered as each impulse- coupled oscillator’s timer having equal separation between successive resets. We show that, for the considered model, desynchronization is an asymptotically stable property. For this purpose, we recast desynchroniza- tion as a set stabilization problem and employ Lyapunov stability tools for hybrid systems. Furthermore, several perturbations are considered showing that desynchronization is a robust property. Perturbations on both the continuous and discrete dynamics are considered. Numerical results are presented to illustrate the main contributions.
Year
DOI
Venue
2016
10.1109/TCNS.2015.2428308
IEEE Trans. Control of Network Systems
Keywords
Field
DocType
Desynchronization, hybrid systems, impulse-coupled oscillators, robust asymptotic stability
Synchronization,Control theory,Lyapunov stability,Impulse (physics),Robustness (computer science),Exponential stability,Timer,Hybrid system,Mathematics,Stability theory
Journal
Volume
Issue
ISSN
PP
99
2325-5870
Citations 
PageRank 
References 
4
0.45
3
Authors
2
Name
Order
Citations
PageRank
S. Phillips140.45
Ricardo G. Sanfelice221627.88