1,868 research outputs found
Asymptotic Tracking via Funnel Control
Funnel control is a powerful and simple method to solve the output tracking problem without the need of a good system model, without identification and without knowlegde how the reference signal is produced, but transient behavior as well as arbitrary good accuracy can be guaranteed. Until recently, it was believed that the price to pay for these very nice properties is that only practical tracking and not asymptotic tracking can be achieved. Surprisingly, this is not true! We will prove that funnel control β without any further assumptions β can achieve asymptotic tracking
Asymptotic Tracking via Funnel Control
Funnel control is a powerful and simple method to solve the output tracking problem without the need of a good system model, without identification and without knowlegde how the reference signal is produced, but transient behavior as well as arbitrary good accuracy can be guaranteed. Until recently, it was believed that the price to pay for these very nice properties is that only practical tracking and not asymptotic tracking can be achieved. Surprisingly, this is not true! We will prove that funnel control β without any further assumptions β can achieve asymptotic tracking
Rapid and robust synchronization via weak synaptic coupling Extended arXiv version
This paper examines how weak synaptic coupling can achieve rapid
synchronization in heterogeneous networks. The assumptions aim at capturing the
key mathematical properties that make this possible for biophysical networks.
In particular, the combination of nodal excitability and synaptic coupling are
shown to be essential to the phenomenon.Comment: 19 pages, 3 figure
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