  The current paper addresses the distributed guaranteed-cost synchronization
problems for general high-order linear multiagent networks. Existing works on
the guaranteed-cost synchronization usually require all state information of
neighboring agents and cannot give the cost budget previously. For both
leaderless and leader-following interaction topologies, the current paper
firstly proposes a dynamic output feedback synchronization protocol with
guaranteed-cost constraints, which can realize the tradeoff design between the
energy consumption and the synchronization regulation performance with the
given cost budget. Then, according to different structure features of
interaction topologies, leaderless and leader-following guaranteed-cost
synchronization analysis and design criteria are presented, respectively, and
an algorithm is proposed to deal with the impacts of nonlinear terms by using
both synchronization analysis and design criteria. Especially, an explicit
expression of the synchronization function is shown for leaderless cases, which
is independent of protocol states and the given cost budget. Finally, numerical
examples are presented to demonstrate theoretical results.
