Distributed resource allocation of second‐order nonlinear multiagent systems

Abstract

Abstract This article investigates a resource allocation problem of second‐order nonlinear multiagent systems. The resource allocation problem arises from many fields such as economic dispatch, network utility maximization, and demand response. Due to the dynamics of agents, we cannot solve this problem by using existing resource allocation algorithms. In order to achieve the optimal allocation, we propose a distributed protocol for agents based on gradient descent. Besides, we analyze the global convergence of the algorithm by constructing a suitable Lyapunov function. Finally, we provide examples to illustrate our result.