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• W2896577860 abstract "This paper studies uniform stabilization and social optimality for mean field linear quadratic control systems, where subsystems are coupled via dynamics and individual costs. For the finite horizon case, we first obtain a set of forward-backward stochastic differential equations (FBSDE) from the analysis of the social cost variation, and then design a feedback-type control by decoupling the FBSDE. The set of decentralized control laws is shown to have asymptotic social optimality. For the infinite horizon case, we design an asymptotically social optimal decentralized control using solutions of two Riccati equations. Two equivalent conditions are further given for uniform stabilization of the systems in different cases. Finally, we show that such decentralized control is a representation of the feedback control in previous works." @default.
• W2896577860 created "2018-10-26" @default.
• W2896577860 creator A5017397385 @default.
• W2896577860 date "2018-07-01" @default.
• W2896577860 modified "2023-09-27" @default.
• W2896577860 title "A Complete Solution to Mean Field Linear Quadratic Control" @default.
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• W2896577860 doi "https://doi.org/10.23919/chicc.2018.8484079" @default.
• W2896577860 hasPublicationYear "2018" @default.
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