DocumentCode
2472155
Title
Nash Equilibrium for 2nd-order Two-Player Non-Zero Sum LQ Games with Executable Decentralized Control Strategies
Author
Wang, Xu ; Cruz, Jose B., Jr.
Author_Institution
Dept. of Electr. & Comput. Eng., Ohio State Univ., Columbus, OH
fYear
2006
fDate
13-15 Dec. 2006
Firstpage
1960
Lastpage
1965
Abstract
Riccati equations are the basis to construct Nash equilibrium solutions for linear quadratic (LQ) non-cooperative games when players apply linear state feedback strategies. Diagonal-form solutions of the Riccati equation associated with a second-order two-player non-zero sum linear quadratic game is discussed and the Nash equilibrium can be implemented by decentralized control strategies. The result is also extended to a high order two-player linear quadratic game
Keywords
decentralised control; decision theory; game theory; linear quadratic control; 2nd-order two-player nonzero sum LQ game; Nash equilibrium; Riccati equation; executable decentralized control; linear quadratic noncooperative game; linear state feedback; Control systems; Differential equations; Distributed control; Linear feedback control systems; Nash equilibrium; Nonlinear equations; Optimal control; Riccati equations; State feedback; Sufficient conditions;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 2006 45th IEEE Conference on
Conference_Location
San Diego, CA
Print_ISBN
1-4244-0171-2
Type
conf
DOI
10.1109/CDC.2006.377379
Filename
4177450
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