Abstract
This paper addresses an event-triggered distributed convex optimisation problem over networks with time-varying delays. The communication between agents is triggered by conditions monitored by nodes. The proposed triggering condition is decentralised and does not require continuous communications among agents to calculate the threshold. By constructing a new Lyapunov–Krasovskii function, the optimisation problem is solved, and the explicit sufficient condition for the maximum admissible time delay is derived. Moreover, the Zeno behaviour of the closed-loop system is excluded. Finally, a simulation example is provided to verify the results obtained in this paper.
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