Theory and Modern Applications
Table 4 Summary of initial data
From: Mean-field optimal control in a multi-agent interaction model for prevention of maritime crime
Item | Meaning | Comment |
|---|---|---|
\(X^{0} = (X^{0}_{1},\dots,X^{0}_{N})\) | initial positions of commercial ships | points in \(\mathbb{R}^{2}\), \(|X^{0}_{n}| \leq R_{0}\) |
\(Y^{0}_{1},\dots,Y^{0}_{M}\) | initial positions of pirate ships | random variables in \(\mathbb{R}^{2}\) |
\(Z^{0} = (Z^{0}_{1},\dots,Z^{0}_{L})\) | initial positions of guard ships | points in \(\mathbb{R}^{2}\) |