<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>In this paper, we consider the consensus problem of first-order continuous-time multi-agent systems with fixed topology and time-varying topology in the presence of measurement noises. It is assumed that each agent can only obtain the information from its neighbors, and the information is corrupted by white noises. For the case of fixed topology, it is shown that consensus can be reached asymptotically in mean square provided the interaction topology has a spanning tree. For the case of time-varying topology, with the assumption that each interaction topology is balanced and strongly connected, consensus can be reached asymptotically in mean square as well. The convergence analysis is given by studying the reduced-order system with the help of stochastic Lyapunov analysis. Simulation results are presented to illustrate the theoretical results</p>
</abstract>

In this paper, we consider the consensus problem of first-order continuous-time multi-agent systems with fixed topology and time-varying topology in the presence of measurement noises. It is assumed that each agent can only obtain the information from its neighbors, and the information is corrupted by white noises. For the case of fixed topology, it is shown that consensus can be reached asymptotically in mean square provided the interaction topology has a spanning tree. For the case of time-varying topology, with the assumption that each interaction topology is balanced and strongly connected, consensus can be reached asymptotically in mean square as well. The convergence analysis is given by studying the reduced-order system with the help of stochastic Lyapunov analysis. Simulation results are presented to illustrate the theoretical results

Consensus Of Continuous-Time Multi-Agent Systems Under Noisy Measurement

International Journal on Smart Sensing and Intelligent Systems

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

{"article-title":"Consensus Of Continuous-Time Multi-Agent Systems Under Noisy Measurement"}

In this paper, we consider the consensus problem of first-order continuous-time multi-agent systems with fixed topology and time-varying topology in the...

Consensus Of Continuous-Time Multi-Agent Systems Under Noisy Measurement

Published Online: Jun 01, 2016

Page range: 580 - 597

Received: Jan 11, 2016

Accepted: Mar 30, 2016

DOI: https://doi.org/10.21307/ijssis-2017-885

Keywords
Multi-agent systems, consensus, measurement noise, stochastic systems

© 2016 He Qingbi et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Consensus Of Continuous-Time Multi-Agent Systems Under Noisy Measurement

Published Online: Jun 01, 2016

Page range: 580 - 597

Received: Jan 11, 2016

Accepted: Mar 30, 2016

DOI: https://doi.org/10.21307/ijssis-2017-885

KeywordsMulti-agent systems, consensus, measurement noise, stochastic systems

© 2016 He Qingbi et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Keywords
Multi-agent systems, consensus, measurement noise, stochastic systems