Leader-following impulsive consensus of third-order nonlinear multi-agent systems with delay

Qunjiao Zhang, Ping Tong, Xiaoqun Wu, Jie Liu and Li Wan

Physica A: Statistical Mechanics and its Applications, 2025, vol. 672, issue C

Abstract: This paper addresses the consensus problem in third-order nonlinear multi-agent systems with delay. Based on a strict comparison theorem and the average impulsive interval method, some sufficient criteria for achieving impulsive consensus are derived, which are formulated through two constraints involving appropriate feedback controllers and impulsive control law. Finally, some numerical simulations provided in the example demonstrate the validity of the proposed impulsive consensus criteria.

Keywords: Leader-following consensus; Strict comparison principle; Average impulsive interval; Multi-agent systems (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:672:y:2025:i:c:s0378437125003139

DOI: 10.1016/j.physa.2025.130661

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