Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  revisit the linear distributed consensus problem in continuous time, to provide a simple and elegant proof under very mild assumptions. Our approach is based on a novel extension of the contraction coefficient that can be adapted to the continuous time version of the model.  apply our results in non-linear second order consensus networks of Cucker- Smale type and  obtain new initial conditions for asymptotic flocking.
['Christoforos Somarakis', 'John S. Baras']
I am writing a research paper on a idea A simple proof of the continuous time linear consensus problem with applications in non-linear flocking networks
[{"from": "human", "value": "I am writing a research paper on a idea A simple proof of the continuous time linear consensus problem with applications in non-linear flocking networks"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  revisit the linear distributed consensus problem in continuous time, to provide a simple and elegant proof under very mild assumptions. Our approach is based on a novel extension of the contraction coefficient that can be adapted to the continuous time version of the model.  apply our results in non-linear second order consensus networks of Cucker- Smale type and  obtain new initial conditions for asymptotic flocking."}]