Finite-Time Adaptive Distributed Optimization of First-Order Nonlinear Agents Over Switching Undirected Topology

This paper investigates the finite-time adaptive distributed optimization problem for a class of first-order nonlinear multi-agent systems with unknown parameters over switching undirected topology. The finite-time distributed optimization problem of the system over the switching topologies can be transferred into a finite-time practical simultaneously stabilization problem of switched systems. Based on the negative gradient method, a finite-time adaptive distributed control protocol is proposed to solve the optimization problem. We show that the state of the multi-agent systems can be ensured to achieve consensus practically. Finally, the simulation results demonstrate the feasibility and effectiveness of proposed theoretical results.