Title :
Large-population cost-coupled LQG problems: generalizations to non-uniform individuals
Author :
Huang, Minyi ; Caines, Peter E. ; Malhamé, Roland P.
Author_Institution :
Dept. of Electr. & Electron. Eng., Univ. of Melbourne, Victoria, BC, Canada
Abstract :
We consider LQG games in large population conditions where the agents have non-uniform dynamics and are coupled by their individual costs. A state aggregation technique is developed to obtain a set of decentralized control laws which possesses an ε-Nash equilibrium property. An attraction property of the mass is also established. The methodology and the results contained in this paper illuminate individual and mass behaviour in such large complex systems.
Keywords :
decentralised control; game theory; large-scale systems; linear quadratic Gaussian control; ε-Nash equilibrium property; LQG games; decentralized control laws; large complex systems; large population conditions; large scale linear quadratic Gaussian control systems; large-population cost-coupled LQG problems; nonuniform individuals; state aggregation technique; Communication system control; Control systems; Cost function; Distributed control; Large-scale systems; Power control; Power generation economics; Power system economics; Power system modeling; Weight control;
Conference_Titel :
Decision and Control, 2004. CDC. 43rd IEEE Conference on
Print_ISBN :
0-7803-8682-5
DOI :
10.1109/CDC.2004.1429243