Distributed Optimization Based on a Multiagent System in the Presence of Communication Delays

Shaofu Yang, Qingshan Liu, Jun Wang

Research output: Contribution to journalArticlepeer-review

175 Citations (Scopus)


In this paper, distributed optimization is addressed based on a continuous-time multiagent system in the presence of time-varying communication delays. First, the relationship between optimal solutions and the equilibrium points of the multiagent system with time delay is revealed. Next, delay-dependent and delay-independent sufficient conditions in form of linear matrix inequality are derived for ascertaining convergence to optimal solutions, in the cases of slow-varying delay and fast-varying delay. Furthermore, a set of conditions are also obtained for the delay-free case. In addition, a sampled-data communication scheme is presented based on the conditions for the fast varying delay systems. Simulation results are presented to substantiate the theoretical results. An application for distributed parameter estimation is also given.

Original languageEnglish
Article number7429776
Pages (from-to)717-728
Number of pages12
JournalIEEE Transactions on Systems, Man, and Cybernetics: Systems
Issue number5
Publication statusPublished - May 2017
Externally publishedYes


  • Communication delays
  • consensus
  • distributed optimization
  • multiagent systems


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