@article {112,
	title = {Robust Asymptotic Stability of Desynchronization in Impulse-Coupled Oscillators},
	journal = {IEEE Transactions on Control of Network Systems},
	volume = {3},
	year = {2016},
	month = {June},
	pages = {127-136},
	abstract = {<p><span style="color: $\#$333333; font-family: sans-serif; font-size: 15px; text-align: start;">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{\textquoteright}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 desynchronization 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 the continuous and discrete dynamics are considered. Numerical results are presented to illustrate the main contributions.</span></p>},
	keywords = {hybrid systems},
	author = {S. Phillips and R. G. Sanfelice}
}
