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On Leader-Following Consensus in Multi-Agent Systems with Discrete Updates at Random Times

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Center for Research and Development in Mathematics and Applications, Department of Mathematics, University of Aveiro, 3810-193 Aveiro, Portugal
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Faculty of Computer Science, Bialystok University of Technology, 15-351 Białystok, Poland
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Faculty of Mathematics and Computer Science, University of Plovdiv Paisii Hilendarski, 4027 Plovdiv, Bulgaria
*
Author to whom correspondence should be addressed.
Entropy 2020, 22(6), 650; https://doi.org/10.3390/e22060650
Received: 27 March 2020 / Revised: 4 June 2020 / Accepted: 9 June 2020 / Published: 12 June 2020
(This article belongs to the Special Issue Dynamical Systems, Differential Equations and Applications)
This paper studies the leader-following consensus problem in continuous-time multi-agent networks with communications/updates occurring only at random times. The time between two consecutive controller updates is exponentially distributed. Some sufficient conditions are derived to design the control law that ensures the leader-following consensus is asymptotically reached (in the sense of the expected value of a stochastic process). The numerical examples are worked out to demonstrate the effectiveness of our theoretical results. View Full-Text
Keywords: multi-agent system; communications at discrete random times; leader-following consensus; exponential distribution; differential equations with impulses multi-agent system; communications at discrete random times; leader-following consensus; exponential distribution; differential equations with impulses
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MDPI and ACS Style

Almeida, R.; Girejko, E.; Hristova, S.; Malinowska, A. On Leader-Following Consensus in Multi-Agent Systems with Discrete Updates at Random Times. Entropy 2020, 22, 650.

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