| Finite-time consensus protocols for multi-dimensional multi-agent systems |
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| 作者姓名： | Jieqiang Wei Bart Besselink Junfeng Wu Henrik Sandberg Karl H. Johansson |
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| 作者单位： | Ericsson Global AI Accelerator, Torshamnsgatan 21, Stockholm, Sweden;Bernoulli Institute for Mathematics, Computer Science and Artificial Intelligence, University of Groningen, P.O. Box 407, 9700, Groningen, AK, The Netherlands;College of Control Science and Engineering, Zhejiang University, 310027, Hangzhou, China;Division of Decision and Control Systems, KTH Royal Institute of Technology, 10044, Stockholm, Sweden |
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| 摘 要： | A finite-time consensus protocol is proposed for multi-dimensional multi-agent systems, using direction-preserving signum controls. Filippov solutions and nonsmooth analysis techniques are adopted to handle discontinuities. Sufficient and necessary conditions are provided to guarantee infinite-time convergence and boundedness of the solutions. It turns out that the number of agents which have continuous control law plays an essential role in finite-time convergence. In addition, it is shown that the unit balls introduced by ?p norms, where p∈1,∞], are invariant for the closed loop.
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| 关 键 词： | Multi-agent systems · Network consensus · Finite-time convergence · Nonsmooth analysis |
Finite-time consensus protocols for multi-dimensional multi-agent systems |
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| Jieqiang Wei,Bart Besselink,Junfeng Wu,Henrik Sandberg,Karl H. Johansson.Finite-time consensus protocols for multi-dimensional multi-agent systems[J].Journal of Control Theory and Applications,2020,18(4):419-430. |
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| Authors: | Jieqiang Wei Bart Besselink Junfeng Wu Henrik Sandberg Karl H Johansson |
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| Affiliation: | Ericsson Global AI Accelerator, Torshamnsgatan 21, Stockholm, Sweden;Bernoulli Institute for Mathematics, Computer Science and Artificial Intelligence, University of Groningen, P.O. Box 407, 9700, Groningen, AK, The Netherlands;College of Control Science and Engineering, Zhejiang University, 310027, Hangzhou, China;Division of Decision and Control Systems, KTH Royal Institute of Technology, 10044, Stockholm, Sweden |
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