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Theory and Modern Applications

Table 1 Summary of the notation for ships

From: Mean-field optimal control in a multi-agent interaction model for prevention of maritime crime

Item

Meaning

Comment

[0,T]

time interval

fixed

\(X = (X_{1},\dots,X_{N})\)

trajectories of N commercial ships

unknown of the system

\(Y = (Y_{1},\dots,Y_{M})\)

trajectories of M pirate ships

unknown of the system

\(Z = (Z_{1},\dots,Z_{L})\)

trajectories of L guard ships

unknown of the system

\(\cdot ^{\mathrm{c}}\)

related to commercial ships

 

\(\cdot ^{\mathrm{p}}\)

related to pirate ships

 

\(\cdot ^{\mathrm{g}}\)

related to guard ships