IEEE/CAA Journal of Automatica Sinica
Citation: | L. Y. Guo, X. L. Shi, and J. D. Cao, “Exponential convergence of primal-dual dynamical system for linear constrained optimization,” IEEE/CAA J. Autom. Sinica, vol. 9, no. 4, pp. 745–748, Apr. 2022. doi: 10.1109/JAS.2022.105485 |
[1] |
W. Lin, Y. Wang, C. Li, and X. Yu, “Distributed resource allocation via accelerated saddle point dynamics,” IEEE/CAA Journal of Automatica Sinica, vol. 8, no. 9, pp. 1588–1599, 2021. doi: 10.1109/JAS.2021.1004114
|
[2] |
C. Xu and X. He, “A Fully distributed approach to optimal energy scheduling of users and generators considering a novel combined neurodynamic algorithm in smart grid,” IEEE/CAA Journal of Automatica Sinica, vol. 8, no. 7, pp. 1325–1335, 2021. doi: 10.1109/JAS.2021.1004048
|
[3] |
Z. Liu, Y. Yuan, X. Guan and X. Li, “An approach of distributed joint optimization for cluster-based wireless sensor networks,” IEEE/CAA Journal of Automatica Sinica, vol. 2, no. 3, pp. 267–273, 2015. doi: 10.1109/JAS.2015.7152660
|
[4] |
J. Cortés and S. K. Niederländer, “Distributed coordination for nonsmooth convex optimization via saddle-point dynamics,” J. Nonlinear Sci., vol. 29, pp. 1247–1272, 2019. doi: 10.1007/s00332-018-9516-4
|
[5] |
G. Qu and N. Li, “On the exponential stability of primal-dual gradient dynamics,” IEEE Control Syst. Lett., vol. 3, no. 1, pp. 43–48, 2019. doi: 10.1109/LCSYS.2018.2851375
|
[6] |
Y. Tang, G. Qu, and N. Li, “Semi-global exponential stability of augmented primal-dual gradient dynamics for constrained convex optimization,” Syst. Control Lett., vol. 144, Article No. 104754, 2020. doi: 10.1016/j.sysconle.2020.104754
|
[7] |
X. Chen and N. Li, “Exponential stability of primal-dual gradient dynamics with non-strong convexity, ” in Proc. American Control Conf., IEEE, 2020, pp. 1612–1618.
|
[8] |
Z. Wang, W. Wei, C. Zhao, Z. Ma, Z. Zheng, Y. Zhang, and F. Liu, “Exponential stability of partial primal-dual gradient dynamics with nonsmooth objective functions,” Automatica, vol. 129, Article No. 109585, 2021. doi: 10.1016/j.automatica.2021.109585
|
[9] |
K. Garg and D. Panagou, “Fixed-time stable gradient flows: Applications to continuous-time optimization,” IEEE Trans. Autom. Control, vol. 66, no. 5, pp. 2002–2015, 2021. doi: 10.1109/TAC.2020.3001436
|
[10] |
S. A. Alghunaim and A. H. Sayed, “Linear convergence of primal-dual gradient methods and their performance in distributed optimization,” Automatica, vol. 117, Article No. 109003, 2020. doi: 10.1016/j.automatica.2020.109003
|
[11] |
W. Bian and X. Xue, “Asymptotic behavior analysis on multivalued evolution inclusion with projection in Hilbert space,” Optimization, vol. 64, no. 4, pp. 853–875, 2015. doi: 10.1080/02331934.2013.811668
|
[12] |
N. T. T. Ha, J. J. Strodiot, and P. T. Vuong, “On the global exponential stability of a projected dynamical system for strongly pseudomonotone variational inequalities,” Optim. Lett., vol. 12, pp. 1625–1638, 2018. doi: 10.1007/s11590-018-1230-5
|
[13] |
I. Necoara, Y. Nesterov, and F. Glineur, “Linear convergence of first order methods for non-strongly convex optimization,” Math. Program., vol. 175, pp. 69–107, 2019. doi: 10.1007/s10107-018-1232-1
|
[14] |
C. Shi and G. Yang, “Augmented lagrange algorithms for distributed optimization over multi-agent networks via edge-based method,” Automatica, vol. 94, pp. 55–62, 2018. doi: 10.1016/j.automatica.2018.04.010
|
[15] |
S. S. Kia, J. Cortés, and S. Martínez, “Distributed convex optimization via continuous-time coordination algorithms with discrete-time communication,” Automatica, vol. 55, pp. 254–264, 2015. doi: 10.1016/j.automatica.2015.03.001
|
[16] |
Q. Liu and J. Wang, “A second-order multi-agent network for boundconstrained distributed optimization,” IEEE Trans. Autom. Control, vol. 60, no. 12, pp. 3310–3315, 2015. doi: 10.1109/TAC.2015.2416927
|
[17] |
B. Gharesifard and J. Cortés, “Distributed continuous-time convex optimization on weight-balanced digraphs,” IEEE Trans. Autom. Control, vol. 59, no. 3, pp. 781–786, 2014. doi: 10.1109/TAC.2013.2278132
|
[18] |
I. Necoara and V. Nedelcu, “On linear convergence of a distributed dual gradient algorithm for linearly constrained separable convex problems,” Automatica, vol. 5, no. 5, pp. 209–216, 2015.
|