3 papers
math.OC2018
About string stability of a vehicle chain with unidirectional controller
Arash Farnam, Alain Sarlette
This paper deals with the problem of string stability in a chain of acceleration-controlled vehicles. It is known that string stability cannot be achieved, with any linear controll…
math.OC2018
About strong string stability of a vehicle chain with time-headway control
Arash Farnam, Alain Sarlette
This paper deals with the problem of string stability in a chain of acceleration-controlled vehicles, i.e. how input disturbances affect the distributed system for very long chains…
math.OC2018
Towards a comprehensive impossibility result for string stability
Arash Farnam, Alain Sarlette
We provide a comprehensive impossibility result towards achieving string stability, i.e. keeping local relative errors in check with local controllers independently of the size of…