  This paper focuses on the problem of distributed consensus control of
multi-agent systems while considering two main practical concerns (i)
stochastic noise in the agent dynamics and (ii) predefined performance
constraints over evolutions of multi-agent systems. In particular, we consider
that each agent is driven by a stochastic differential equation with
state-dependent noise which makes the considered problem more challenging
compared to non-stochastic agents. The work provides sufficient conditions
under which the proposed timevarying distributed control laws ensure consensus
in expectation and almost sure consensus of stochastic multi-agent systems
while satisfying prescribed performance constraints over evolutions of the
systems in the sense of the qth moment. Finally, we demonstrate the
effectiveness of the proposed results with a numerical example.
