Optimal stabilization control for discrete-time mean-field stochastic systems

Title: Optimal stabilization control for discrete-time mean-field stochastic systems
Creator: Zhang, Huanshui; Qi, Qingyuan; Fu, Minyue
Relation: IEEE Transactions on Automatic Control Vol. 64, Issue 3, p. 1125-1136
Publisher Link: http://dx.doi.org/10.1109/TAC.2018.2813006
Publisher: Institute of Electrical and Electronics Engineers (IEEE)
Resource Type: journal article
Date: 2019
Description: This paper will investigate the stabilization and optimal linear quadratic (LQ) control problems for infinite horizon discrete-time mean-field systems. Unlike the previous works, for the first time, the necessary and sufficient stabilization conditions are explored under mild conditions, and the optimal LQ controller for infinite horizon is designed with a coupled algebraic Riccati equation (ARE). More specifically, we show that under the exact detectability (exact observability) assumption, the mean-field system is stabilizable in the mean square sense with the optimal controller if and only if a coupled ARE has a unique positive semi-definite (positive definite) solution. The presented results are parallel to the classical results for the standard LQ control.
Subject: algebraic riccati equation (ARE); mean-field LQ (linear quadratice) control; optimal controller; stabilizing controller
Identifier: http://hdl.handle.net/1959.13/1471146
Identifier: uon:48616
Identifier: ISSN:0018-9286
Language: eng
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