Accession Number : AD0750208

Title :   Multi-Controller Strategies for Systems with Discrete Acquired and Biased Prior Information.

Descriptive Note : Doctoral thesis,

Corporate Author : ILLINOIS UNIV URBANA COORDINATED SCIENCE LAB

Personal Author(s) : Simaan,Marwan

Report Date : SEP 1972

Pagination or Media Count : 155

Abstract : A dynamic system, when controlled by several independent controllers each seeking to minimize a different performance index, is called a differential game and the controllers are usually referred to as players. There are many potential applications of differential game theory where not all of the players can acquire continuous measurements of the system's state vector, and where not every player has prior information of the performance indices of all other players. This work is concerned with studying problems associated with the acquired and prior information in deterministic nonzero-sum differential game theory. Problems where some players design open-loop and others closed-loop Nash controls are considered and necessary conditions for the existence of such controls are derived. (Author)

Descriptors :   (*ADAPTIVE CONTROL SYSTEMS, MATHEMATICAL MODELS), (*GAME THEORY, DECISION MAKING), DIFFERENTIAL EQUATIONS, DYNAMIC PROGRAMMING, CALCULUS OF VARIATIONS, DECISION THEORY, SET THEORY, MATRICES(MATHEMATICS), OPTIMIZATION, THESES

Subject Categories : Theoretical Mathematics
      Operations Research

Distribution Statement : APPROVED FOR PUBLIC RELEASE