标题：Stabilization Control for Linear Continuous-time Mean-field Systems
作者：Qi Q.; Zhang H.; Wu Z.
作者机构：[Qi, Q] School of Control Science and Engineering, Qingdao University, Jinan China 250061 (e-mail: firstname.lastname@example.org);[ Zhang, H] School of Control Scie 更多
来源：IEEE Transactions on Automatic Control
关键词：Cost function; Mean-field systems; Observability; Optimal control; optimal control; Riccati equation; Riccati equations; stabilization; Standards; Stochastic systems; Symmetric matrices
摘要：This paper investigates the stabilization and control problems for linear continuous-time mean-field systems (MFS). 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 (ARE) admits a unique positive semi-definite solution (positive definite solution), which coincides with the classical stabilization results for standard deterministic systems and stochastic systems. IEEE