Sampled-data-based consensus of multi-agent systems with multiplicative noise and time-delays

The sampled-data-based consensus control problem of multi-agent systems (MASs) with multiplicative noise and time-delays is studied in this paper. The MASs are given in a continuous-time setting while information exchange occurs only at the sampling instants. Therefore, the traditional methods for continuous-time or discrete-time models are not applicable. To resolve the problem, a discretization-reconnection method is developed to investigate the consensus control of first-order and second-order MASs, respectively. Some sufficient conditions, explicitly related to the control gains and the sampling step size, are established for both mean-square (m.s.) and almost sure (a.s.) consensus. Under these conditions, consensus can be achieved by designing appropriate control gains and the sampling step size for MASs with given noise intensity and time-delays. Numerical simulations verify the effectiveness of the theoretical results. (c) 2022 Elsevier Inc. All rights reserved.

Automated summary

This paper studies the sampled-data-based consensus control problem of multi-agent systems (MASs) with multiplicative noise and time-delays, developing a discretization-reconnection method and establishing sufficient conditions for mean-square and almost sure consensus, and verifying the theoretical results through numerical simulations.