1Differential Game Theory and Applications to Missile Guidance
Nomenclature
 k:
is the epoch (in a discrete time game).
 P:

is the set of players in a game.
 U:

is the set of strategies available to all the players.
 U^{i}:

is the set of strategies available to player i.

is the objective function for players i and j.
 X_{k}:

is the set of current state of a game at epoch k.
 U_{k}:

is the set of strategies available to a player at epoch k.

is the strategy vector (input vector) available to player i against player j atepoch k.
 C_{k}:

is the set of constraints at epoch k.
 G_{k}:

is the set of elements of a discretetime game.
 t:

is the time in a continuous time (differential) game.
 X_{t}:

is the set of states of a game at time t.
 U_{t}:

is the set of strategies at time t.

is the strategy vector (input vector) available to player i against player j attime t.
 C_{t}:

is the set of constraints at time t.
 G_{t}:

is the set of elements of a continuous time (differential) game.

is the relative state vector of player i w.r.t. player j at time t.

is the strategy vector (input vector) of player i.
 F:
Get Differential Game Theory with Applications to Missiles and Autonomous Systems Guidance now with O’Reilly online learning.
O’Reilly members experience live online training, plus books, videos, and digital content from 200+ publishers.