The authors derive network- and delay-dependent bounds on entropic value-at-risk for inter-vehicle collisions by expressing distance covariances via Laplacian eigenvalues of the platoon communication graph.
Using (11), we have c1f(λ nτ, βτ) nX k=2 (˜eT j qk)2 ≤σ 2 j ≤c 1f(λ2τ, βτ) nX k=2 (˜eT j qk)2, (21) wherec 1 =g 2 τ 3 2π
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Entropic Value-at-Risk for Inter-Vehicle Collision in Platoons: Network- and Delay-Induced Bounds on Risk Due to Extreme Events
The authors derive network- and delay-dependent bounds on entropic value-at-risk for inter-vehicle collisions by expressing distance covariances via Laplacian eigenvalues of the platoon communication graph.