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Distributed leader-follower consensus for a class of semilinear second order multi-agent systems using time scale theory

Abstract : The problem of distributed leader‐follower consensus for second‐order linear multiagent systems with unknown nonlinear inherent dynamics is investigated in this paper. It is assumed that the dynamic of each agent is described by a semilinear second‐order dynamic equation on an arbitrary time scale. Using calculus on time scales and direct Lyapunov's method, some sufficient conditions are derived to ensure that the tracking errors exponentially converge to zero. Some numerical results show the effectiveness of the proposed scheme.
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Submitted on : Tuesday, December 14, 2021 - 2:24:31 PM
Last modification on : Tuesday, January 4, 2022 - 5:03:15 AM

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  • HAL Id : hal-03479682, version 1

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Serhii Babenko, Michael Defoort, Mohamed Djemai, Serge Nicaise. Distributed leader-follower consensus for a class of semilinear second order multi-agent systems using time scale theory. International Journal of Robust and Nonlinear Control, Wiley, 2018, 29 (1), pp. 433-450. ⟨hal-03479682⟩

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