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Distributed optimal consensus of second-order multi-agent systems

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  1. Sun H, Liu Y G, Li F Z, et al. Distributed LQR optimal protocol for leader-following consensus. IEEE Trans Cybern, 2019, 49: 3532–3546

    Article  Google Scholar 

  2. Cao Y C, Ren W. Optimal linear-consensus algorithms: an LQR perspective. IEEE Trans Syst Man Cybern B, 2010, 40: 819–830

    Article  Google Scholar 

  3. Zhang F F, Wang W, Zhang H S. Design and analysis of distributed optimal controller for identical multiagent systems. Asian J Control, 2015, 17: 263–273

    MathSciNet  Article  Google Scholar 

  4. Nguyen D H. A sub-optimal consensus design for multiagent systems based on hierarchical LQR. Automatica, 2015, 55: 88–94

    MathSciNet  Article  Google Scholar 

  5. Jiao J J, Trentelman H L, Camlibel M K. A suboptimality approach to distributed linear quadratic optimal control. 2018. ArXiv: 1803.02682

  6. Bauso D, Giarré L, Pesenti R. Non-linear protocols for optimal distributed consensus in networks of dynamic agents. Syst Control Lett, 2006, 55: 918–928

    MathSciNet  Article  Google Scholar 

  7. Modares H, Lewis F L, Kang W, et al. Optimal synchronization of heterogeneous nonlinear systems with unknown dynamics. IEEE Trans Automat Contr, 2018, 63: 117–131

    MathSciNet  Article  Google Scholar 

  8. Feng T, Zhang H G, Luo Y H, et al. Globally optimal distributed cooperative control for general linear multi-agent systems. Neurocomputing, 2016, 203: 12–21

    Article  Google Scholar 

  9. Movric K H, Lewis F L. Cooperative optimal control for multi-agent systems on directed graph topologies. IEEE Trans Automat Contr, 2014, 59: 769–774

    MathSciNet  Article  Google Scholar 

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This work was supported by National Natural Science Foundation of China (Grant Nos. 61873146, 61703237) and Taishan Scholars Climbing Program of Shandong Province.

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Correspondence to Yungang Liu.

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Appendixes A and B. The supporting information is available online at and The supporting materials are published as submitted, without typesetting or editing. The responsibility for scientific accuracy and content remains entirely with the authors.

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Sun, H., Liu, Y. & Li, F. Distributed optimal consensus of second-order multi-agent systems. Sci. China Inf. Sci. 64, 209201 (2021).

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