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Stabilization Control for Linear Continuous-Time Mean-Field Systems

delete2019-08-01
delete41
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OA
AI
Q
Qingyuan Qi
H
Huanshui Zhang *
Z
Zhen Wu
DOI:10.1109/TAC.2018.2881141delete
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摘要

摘要

En 中文
This paper investigates the stabilization and control problems for linear continuous-time mean-field systems. Under standard assumptions, the necessary and sufficient conditions to stabilize the mean-field systems in the mean-square sense are explored for the first time. It is shown that, under the assumption of exact detectability (exact observability), the mean-field system is stabilizable if and only if a coupled algebraic Riccati equation admits a unique positive-semidefinite solution (positive-definite solution), which coincides with the classical stabilization results for standard deterministic systems and stochastic systems.
Keyword:
Mean-field systems
optimal control
Riccati equation
stabilization
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期刊

IEEE Transactions on Automatic Control 封面图
IEEE Transactions on Automatic Control
IF:
7
论文数:
1.3W
被引数:
6.7W

机构

Q
Qingdao University
学者数:
3.1W
论文数: 2.1W
被引数: 3.7W
S
shandong university
学者数:
9.5W
论文数: 6.4W
被引数: 94
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