H∞ consensus of multi-agent systems with semi-Markovian switching topologies and mode-dependent delays

Xiaowu Mu and Minhong He

International Journal of Systems Science, 2021, vol. 52, issue 1, 173-184

Abstract: This paper addresses $H_{\infty } $H∞ leader-following consensus of multi-agent systems with semi-Markovian switching topologies and time-varying delays. Unlike the classic Markovian switching topologies, the transition rates are time-varying in the semi-Markovian switching topologies, which can better model the switching of topologies due to inevitable stochastic changes. Moreover, compared with existing works on multi-agent systems with switching topologies and time delays, the delays in the paper are dependent on the switching modes. By designing the distributed mode-dependent consensus protocol and constructing Lyapunov functional, sufficient conditions in terms of LMIs are derived to ensure that $H_{\infty } $H∞ leader-following consensus is asymptotically achieved in the mean square. Finally, a numerical example is provided to show the effectiveness of the main results.

Date: 2021
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DOI: 10.1080/00207721.2020.1823048

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