Distributed optimization design for high-order multi-agent systems

In this paper, the distributed optimization problem for a continuous-time multi-agent systems is investigated. Different from most of the distributed optimization, we consider the dynamics of the agents, which are described in the high-order integrator form. Then we propose a distributed protocol design based on the gradient algorithm and integral feedback for the considered agent-network under a connected communication topology. A sufficient condition for the control parameters is given to make all the agents converge to optimal solution of the distributed optimization problem. Moreover, we also provide an example to illustrate the theoretical results.