In this paper, we study asynchronous consensus problems of continuous-timemulti-agent systems with discontinuous information transmission. The proposedconsensus control strategy is implemented only based on the state informationat some discrete times of each agent's neighbors. The asynchronization meansthat each agent's update times, at which the agent adjusts its dynamics, areindependent of others'. Furthermore, it is assumed that the communicationtopology among agents is time-dependent and the information transmission iswith bounded time-varying delays. If the union of the communication topologyacross any time interval with some given length contains a spanning tree, theconsensus problem is shown to be solvable. The analysis tool developed in thispaper is based on the nonnegative matrix theory and graph theory. The maincontribution of this paper is to provide a valid distributed consensusalgorithm that overcomes the difficulties caused by unreliable communicationchannels, such as intermittent information transmission, switchingcommunication topology, and time-varying communication delays, and thereforehas its obvious practical applications. Simulation examples are provided todemonstrate the effectiveness of our theoretical results.
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