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Consensus for linear multi-agent system with intermittent information transmissions using the time-scale theory

Abstract : This paper investigates the consensus problem for linear multi-agent system with fixed communication topology in the presence of intermittent communication using the time-scale theory. Since each agent can only obtain relative local information intermittently, the proposed consensus algorithm is based on a discontinuous local interaction rule. The interaction among agents happens at a disjoint set of continuous-time intervals. The closed-loop multi-agent system can be represented using mixed linear continuous-time and linear discrete-time models due to intermittent information transmissions. The time-scale theory provides a powerful tool to combine continuous-time and discrete-time cases and study the consensus protocol under a unified framework. Using this theory, some conditions are derived to achieve exponential consensus under intermittent information transmissions. Simulations are performed to validate the theoretical results.
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Submitted on : Monday, March 29, 2021 - 3:10:38 PM
Last modification on : Tuesday, October 19, 2021 - 11:38:44 AM

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Fatima Zohra Taousser, Michael Defoort, Mohamed Djemai. Consensus for linear multi-agent system with intermittent information transmissions using the time-scale theory. International Journal of Control, Taylor & Francis, 2015, 89 (1), pp.210-220. ⟨10.1080/00207179.2015.1065544⟩. ⟨hal-03184490⟩

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