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
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;
Conference_Titel :
Decision and Control, 2006 45th IEEE Conference on
Conference_Location :
San Diego, CA
Print_ISBN :
1-4244-0171-2
DOI :
10.1109/CDC.2006.377379
