Puccinelli, D. and Haenggi, M. (2005) Wireless Sensor Networks: Applications and Challenges of Ubiquitous Sensing. IEEE Circuits and Systems Magazine, 5, 19-31.
https://doi.org/10.1109/MCAS.2005.1507522

has been cited by the following article:

• TITLE: Event-Triggered Zero-Gradient-Sum Distributed Algorithm for Convex Optimization with Time-Varying Communication Delays and Switching Directed Topologies

  AUTHORS: Lei Ye

  KEYWORDS: Distributed Convex Optimisation, Zero-Gradient-Sum Algorithm, Event-Triggered, Time-Varying Delays, Switching Network, Multi-Agent System, Directed Network

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.10 No.4, April 25, 2022

  ABSTRACT: Nowadays, distributed optimization algorithms are widely used in various complex networks. In order to expand the theory of distributed optimization algorithms in the direction of directed graph, the distributed convex optimization problem with time-varying delays and switching topologies in the case of directed graph topology is studied. The event-triggered communication mechanism is adopted, that is, the communication between agents is determined by the trigger conditions, and the information exchange is carried out only when the conditions are met. Compared with continuous communication, this greatly saves network resources and reduces communication cost. Using Lyapunov-Krasovskii function method and inequality analysis, a new sufficient condition is proposed to ensure that the agent state finally reaches the optimal state. The upper bound of the maximum allowable delay is given. In addition, Zeno behavior will be proved not to exist during the operation of the algorithm. Finally, a simulation example is given to illustrate the correctness of the results in this paper.