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Stabilization Control for Linear Continuous-Time Mean-Field Systems
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DOI：10.1109/TAC.2018.2881141.png)
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Abstract
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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.
Keywords:
Mean-field systems
optimal control
Riccati equation
stabilization
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