Title :
Nash and Minimax Bi-Cumulant Games
Author :
Diersing, Ronald W. ; Sain, Michael K.
Author_Institution :
Dept. of Electr. & Comput. Eng., Temple Univ., Philadelphia, PA
Abstract :
Cumulants have been gaining interest in control lately. This paper applies cumulants to the area of game theory and gives sufficient conditions for nonzero and zero sum games to a class of nonlinear systems. With a linear system and quadratic costs, Nash and minimax equilibrium solutions are found. The games consider the finite time horizon, state feedback problem. Special cases of these methods reduce to the H2/Hinfin and Hinfin control problems, so that a generalization is achieved
Keywords :
Hinfin control; game theory; nonlinear control systems; state feedback; H2/Hinfin control; Hinfin control; Nash equilibrium; finite time horizon; game theory; minimax equilibrium; nonlinear systems; nonzero games; state feedback; sufficient conditions; zero sum games; Costs; Differential equations; Game theory; Hydrogen; Linear systems; Minimax techniques; Nonlinear systems; Stochastic processes; Sufficient conditions; USA Councils;
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.2006.376921
