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On non-consensus motions of dynamical linear multiagent systems

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Abstract

The non-consensus problems of high-order linear time-invariant dynamical homogeneous multiagent systems are studied. Based on the conditions of consensus achievement, the mechanisms that lead to non-consensus motions are analysed. Besides, a comprehensive classification of diverse types of non-consensus phases corresponding to different conditions is conducted, which is jointly depending on the self-dynamics of the agents, the interactive protocol and the graph topology. A series of numerical examples are explained to illustrate the theoretical analysis.

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Acknowledgements

This work is supported by National Natural Science Foundation (NNSF) of China (Grants 61374054 and 61263002), by Fundamental Research Funds for the Central Universities (Grants 31920160003, 31920170141, 31920180115 and 31920180121), by Program for Young Talents of State Ethnic Affairs Commission (SEAC) of China (Grant 2013-3-21) and by the educational reform project for graduate courses of Northwest Minzu University.

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Authors and Affiliations

  1. School of Electrical Engineering, Northwest University for Nationalities, Lanzhou, China

    Ning Cai & Chun-Lin Deng

  2. Key Laboratory of China’s Ethnic Languages and Information Technology (Northwest Minzu University), Ministry of Education, Lanzhou, China

    Ning Cai

  3. School of Automation, Huazhong University of Science and Technology, Wuhan, China

    Chun-Lin Deng

  4. School of Automation, Hangzhou Dianzi University, Hangzhou, China

    Ning Cai & Qiu-Xuan Wu

Authors
  1. Ning Cai
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  2. Chun-Lin Deng
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  3. Qiu-Xuan Wu
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Correspondence to Chun-Lin Deng.

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Cai, N., Deng, CL. & Wu, QX. On non-consensus motions of dynamical linear multiagent systems. Pramana - J Phys 91, 16 (2018). https://doi.org/10.1007/s12043-018-1590-5

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  • DOI: https://doi.org/10.1007/s12043-018-1590-5

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