A Distributed Resource Allocation Algorithm for Second-Order Multiagent Systems with Discrete-Time Communication
Lei Wang, Zhenhua Deng · 2019
In this paper, we consider the resource allocation problems for multiagent systems with discrete-time communication. The multiagent system is described by an undirected graph and each agent only exchange finite information with its neighbors. Besides, the dynamics of agents are considered and depicted by second-order forms. To solve this problem, a distributed resource allocation algorithm is proposed by virtue of gradient descent and state feedback. We prove the convergence of this algorithm by constructing an appropriate Lyapunov function, and give an upper bound of communication period. Moreover, the algorithm can make the allocations (decisions) of all agents reach to an exact optimal solution under mild assumptions. Finally, a numerical example is given to illustrate the effectiveness of our result.