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Finite-time consensus problem for second-order multi-agent systems under switching topologies. (English) Zbl 1386.93021

Summary: 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.

MSC:

93A14 Decentralized systems
68T42 Agent technology and artificial intelligence
05C90 Applications of graph theory
93C15 Control/observation systems governed by ordinary differential equations
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