  In this paper, we consider a Nash equilibrium seeking problem for a class of
high-order multi-agent systems with unknown dynamics. Different from existing
results for single integrators, we aim to steer the outputs of this class of
uncertain high-order agents to the Nash equilibrium of some noncooperative game
in a distributed manner. To overcome the difficulties brought by the high-order
structure, unknown nonlinearities, and the regulation requirement, we first
introduce a virtual player for each agent and solve an auxiliary noncooperative
game for them. Then, we develop a distributed adaptive protocol by embedding
this auxiliary game dynamics into some proper tracking controller for the
original agent to resolve this problem. We also discuss the parameter
convergence problem under certain persistence of excitation condition. The
efficacy of our algorithms is verified by numerical examples.
