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Distributed optimization on unbalanced graphs via continuous-time methods

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  1. 1

    Li Z H, Ding Z T, Sun J Y, et al. Distributed adaptive convex optimization on directed graphs via continuous-time algorithms. IEEE Trans Autom Control, 2018, 63: 1434–1441

  2. 2

    Gharesifard B, Cortes J. Distributed continuous-time convex optimization on weight-balanced digraphs. IEEE Trans Autom Control, 2014, 59: 781–786

  3. 3

    Kia S S, Cortés J, Martínez S. Distributed convex optimization via continuous-time coordination algorithms with discrete-time communication. Automatica, 2015, 55: 254–264

  4. 4

    Wang J, Elia N. A control perspective for centralized and distributed convex optimization. In: Proceedings of the 50th IEEE Conference on Decision and Control and European Control Conference, Orlando, 2011. 3800–3805

  5. 5

    Lu J, Tang C Y. Zero-gradient-sum algorithms for distributed convex optimization: the continuoustime case. IEEE Trans Autom Control, 2012, 57: 2348–2354

  6. 6

    Yang S F, Liu Q S, Wang J. Distributed optimization based on a multiagent system in the presence of communication delays. IEEE Trans Syst Man Cybern Syst, 2017, 47: 717–728

  7. 7

    Mei J, Ren W, Chen J. Distributed consensus of second-order multi-agent systems with heterogeneous unknown inertias and control gains under a directed graph. IEEE Trans Autom Control, 2016, 61: 2019–2034

  8. 8

    Horn R A, Johnson C R. Matrix Analysis. Cambridge: Cambridge University Press, 1985

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This work was supported by Science and Technology Facilities Council (Grant No. ST/N006852/1).

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Correspondence to Zhengtao Ding.

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Li, Z., Ding, Z. Distributed optimization on unbalanced graphs via continuous-time methods. Sci. China Inf. Sci. 61, 129204 (2018). https://doi.org/10.1007/s11432-018-9502-1

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