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: qiqy123@163.com);[ Zhang, H] School of Control Scie 更多[Qi, Q] School of Control Science and Engineering, Qingdao University, Jinan China 250061 (e-mail: qiqy123@163.com);[ Zhang, H] School of Control Science and Engineering, Shandong University, Jinan China 250100 (e-mail: hszhang@sdu.edu.cn);[ Wu, Z] School of Mathematics, Shandong University, Jinan, Shandong China 250100 (e-mail: wuzhen@sdu.edu.cn) 收起
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
