  In this technical note, we study the mean square stability-based analysis of
stochastic continuous-time linear networked systems. The stochastic uncertainty
is assumed to enter multiplicatively in system dynamics through input and
output channels of the plant. Necessary and sufficient conditions for mean
square exponential stability are expressed in terms of the input-output
property of deterministic or nominal system dynamics captured by the {\it mean
square} system norm and variance of channel uncertainty. The stability results
can also be interpreted as a small gain theorem for continuous-time stochastic
systems. Linear Matrix Inequalities (LMI)-based optimization formulation is
provided for the computation of mean square system norm for stability analysis.
For a special case of single input channel uncertainty, we also prove a
fundamental limitation result that arises in the mean square exponential
stabilization of the continuous-time linear system. Overall, the contributions
in this work generalize the existing results on stability analysis from
discrete-time linear systems to continuous-time linear systems with
multiplicative uncertainty. Simulation results are presented for WSCC $9$ bus
power system to demonstrate the application of the developed framework.
