MathDB4 problems
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DeePC's applicability to highly nonlinear traffic systems
The paper considers DeePC applied to a traffic system, with the Hankel matrix used as a model of the system's trajectories. DeePC applicability conjecture. DeePC could work well in…
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Rey's conjecture on autonomous-vehicle-specific infrastructure in urban networks
An urban traffic network consists of roads and traffic intersections, and vehicles include autonomous vehicles (AVs). AV infrastructure conjecture. As autonomous-vehicle demand inc…
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Rey's conjecture on dedicated autonomous-vehicle lanes and blue phases
A traffic network contains links connecting intersections, and vehicles may be legacy or autonomous. A blue phase is an autonomous-vehicle-restricted signal phase, used alongside t…
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Unique asymptotically stable trajectory under queue-length-dependent control
Consider a network of signalized intersections modeled as a queuing network, with the network state given by queue lengths and vehicle positions, and with control that depends on t…