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20082026
most citedExponential suppression of bit-flips in a qubit encoded in an oscillator

249 citations · 915 across the 56 of their papers we have counts for

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14 papers · 1 filter

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★ 1 cited

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…

math.OC2017★ 4 cited

Lifting Markov Chains To Mix Faster: Limits and Opportunities

Simon Apers, Francesco Ticozzi, Alain Sarlette

Lifted Markov chains are Markov chains on graphs with added local "memory" and can be used to mix towards a target distribution faster than their memoryless counterparts. Upper and…

math.OC2016★ 1 cited

Integral control on nonlinear spaces: two extensions

Zhifei Zhang, Zhihao Ling, Alain Sarlette

This paper applies the recently developed framework for integral control on nonlinear spaces to two non-standard cases. First, we show that the property of perfect target stabiliza…

math.OC2016

String Stability towards Leader thanks to Asymmetric Bidirectional Controller

Arash Farnam, Alain Sarlette

This paper deals with the problem of string stability of interconnected systems with double-integrator open loop dynamics (e.g.~acceleration-controlled vehicles). We analyze an asy…