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Finite‐Time Consensus Problem for Second‐Order Multi‐Agent Systems Under Switching Topologies
Authors:Fang Wang  Xin Chen  Yong He  Min Wu
Affiliation:1. School of Information Science & Engineering, Central South University, Changsha, Hunan, China;2. School of Automation, China University of Geosciences, Wuhan, Hubei, China
Abstract:This paper investigates the finite‐time consensus problem for multi‐agent systems with second‐order individual dynamics under switching topologies. A distributed continuous‐time protocol is designed to guarantee finite‐time consensus for homogeneous agents without predetermined leaders, i.e., it ensures agents asymptotically converge to an average consensus within finite time, even if the interaction topology among them is time‐varying but stepwise jointly‐connected. In particular, it introduces a distributed continuous‐time protocol to reach consensus in finite time and reduce the chattering together. Finally, the simulation results are also given to validate the proposed approach.
Keywords:Multi‐agent systems  finite‐time consensus  switching topologies
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