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
来源:IEEE Transactions on Automatic Control
出版年:2018
DOI:10.1109/TAC.2018.2881141
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
收录类别:SCOPUS
资源类型:期刊论文
原文链接:https://www.scopus.com/inward/record.uri?eid=2-s2.0-85056607748&doi=10.1109%2fTAC.2018.2881141&partnerID=40&md5=54b9ad830cdff971e4b2dfd1f33d9631
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