  Since response lags are essential in the feedback loops and are required by
most physical systems, it is more appropriate to stabilize McKean-Vlasov
stochastic differential equations (MV-SDEs) with common noise through the
implementation of delay feedback control mechanisms. The aim of this paper is
to design delay feedback control functions of the system state such that the
controlled system to be boundedness in infinite horizon and further
exponentially stable in the mean square. The designed controller, which depends
only on the system state is easier to implement than that in [27] which was
designed to depend on both system state and measure. The existence and
uniqueness of the global solution of the controlled system is proved. The It\^o
formula with respect to both state and measure is derived. The proposed delay
feedback control strategies are rendered viable for effective stabilization of
MV-SDEs with common noise. Furthermore, the moment Lyapunov exponent, which is
intricately linked to the time delays, is meticulously estimated.
