ABSTRACT

In this talk, we will present several adaptive control protocols, including feedback control with time delay and feedback control set in a merely stochastic version. We will validate the feasibility of our proposed protocols, not only for a large population of coupled oscillators, but also for representative neuronal network models. We also will present several factors of physical or biological significance essential to the success of our proposed protocols. We anticipate that our protocols will deepen the understanding and refinement of those controllers, e.g. techniques of deep brain stimulation, which have been implemented in remedying some synchronization-induced mental disorders including Parkinson disease and epilepsy.