  This paper studies a stabilization problem for linear MIMO systems subject to
external perturbation that further requires the closed-loop system render a
specified gain from the external perturbation to the output. The problem arises
from control of networked systems, in particular, robust output synchronization
of heterogeneous linear MIMO multi-agent systems via output
feedback/communication. We propose a new approach that converts a class of MIMO
systems into a normal form via repeated singular value decomposition and prove
that a stabilization controller with a specified external gain can be
explicitly constructed for the normal form.Two scenarios with static state
feedback and dynamic output feedback are investigated. By integrating the
reference model and internal model techniques, the robust output
synchronization problem for MIMO multi-agent systems is converted into a
stabilization problem with a specified externalgain and solved by the developed
approach.
