doi:10.1016/j.isatra.2025.08.011engAldana-López, RodrigoAragüés, RosarioSagüés, CarlosQuasi-exact dynamic average consensus under asynchronous communication and symmetric delaysART-2025-145510This work focuses on the problem of dynamic average consensus, which involves computing the average of a set of time-varying reference signals spread across a network in a distributed fashion. To make this problem more applicable to realistic scenarios, we consider agents in the network that can only communicate at asynchronous discrete-time instants and are subject to time-varying symmetric edge-wise delays. Our proposal is based on high-order sliding modes. It is quasi-exact in the sense that exact convergence to the average signal is obtained when continuous-time communication is available, even if the dynamic average is persistently varying. Additionally, under asynchronous discrete-time communication, our proposal exhibits reduced chattering and improved robustness compared to other approaches. We provide a formal analysis of the algorithm’s convergence and present several numerical experiments to verify the advantages of our proposal.2025http://zaguan.unizar.es/record/16305210.1016/j.isatra.2025.08.011http://zaguan.unizar.es/record/163052oai:zaguan.unizar.es:163052info:eu-repo/grantAgreement/EUR/AEI/TED2021-130224B-I00info:eu-repo/grantAgreement/ES/DGA/T45-23Rinfo:eu-repo/grantAgreement/ES/MICINN-AEI-FEDER/PID2021-124137OB-I00ISA TRANSACTIONS 167 (2025), 503-512All rights reservedhttp://www.europeana.eu/rights/rr-f/info:eu-repo/semantics/closedAccess