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Nonlinear H-Infinity Control, Hamiltonian Systems and Hamilton-Jacobi Equations by M.D.S. Aliyu

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Basics of Differential Games

The theory of games was developed around 1930 by Von Neumann and Morgenstern [136] and differential games approximately around 1950, the same time that optimal control theory was being developed. The theory immediately found application in warfare and economics; for instance, certain types of battles, airplane dog-fighting, a torpedo pursuing a ship, a missile intercepting an aircraft, a gunner guarding a target against an invader [73], are typical models of differential games. Similarly, financial planning between competing sectors of an economy, or competing products in a manufacturing system, meeting demand with adequate supply in a market system, also fall into the realm of differential games.

Game theory ...

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