Distributed resource allocation of second‐order nonlinear multiagent systems
Shiling Li, Xiaohong Nian, Zhenhua Deng, Zhao Chen, Qing Meng
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.
Topics & Concepts
Computer scienceResource allocationMathematical optimizationLyapunov functionConvergence (economics)Multi-agent systemNonlinear systemGradient descentMaximizationOrder (exchange)Function (biology)Resource (disambiguation)Distributed computingArtificial neural networkMathematicsArtificial intelligenceEconomicsEvolutionary biologyEconomic growthBiologyQuantum mechanicsFinanceComputer networkPhysicsDistributed Control Multi-Agent SystemsNeural Networks Stability and SynchronizationNonlinear Dynamics and Pattern Formation