Differential Game Theory with Applications to Missiles and Autonomous Systems Guidance

4Three-Party Differential Game Theory Applied to Missile Guidance Problem

Nomenclature

is the position vector of vehicle i in fixed axis.

is the velocity vector of vehicle i in fixed axis.

is the acceleration vector of vehicle i in fixed axis.

are respectively (evasion) acceleration commands by target 1 against attacker 3 and by attacker 3 against defender 2.

are respectively (pursuit) acceleration commands by defender 2 against attacker 3 and by attacker 3 against target 1.

is the relative position vector of vehicle i w.r.t. vehicle j.

is the relative velocity vector of vehicle i w.r.t. vehicle j.

is the relative state (position and velocity) vector of attacker 3 w.r.t. target ...