Accession Number:

AD0686132

Title:

A GLOBAL THEORY FOR LINEAR QUADRATIC DIFFERENTIAL GAMES.

Descriptive Note:

Technical summary rept.,

Corporate Author:

WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s):

• Lukes,D. L.
• Russell,D. L.

Report Date:

1968-07-01

Pagination or Media Count:

45.0

Abstract:

The paper analyses a class of many player nonzero-sum linear games in Hilbert space with quadratic cost functionals. The existence and stability of equilibrium strategies is studied. The results are then applied to differential games and a feedback synthesis of the equilibrium strategies is developed. Author

Descriptors:

• (*GAME THEORY
• HILBERT SPACE)
• DIFFERENTIAL EQUATIONS
• OPERATORS(MATHEMATICS)
• CONTROL SYSTEMS
• DECISION THEORY
• THEOREMS

Subject Categories:

• Operations Research

Distribution Statement:

APPROVED FOR PUBLIC RELEASE