References
- Boyd, S., & Vandenberghe, L. (2004). Convex optimization. Cambridge University Press.
- Chang, T., Angelia, N., & Scaglione, A. (2014). Distributed constrained optimization by consensus-based primal-dual perturbation method. IEEE Transactions on Automatic Control, 59(6), 1524–1538. https://doi.org/https://doi.org/10.1109/TAC.9
- Choi, Y., & Yoo, S. (2021). Neural-network-based distributed asynchronous event-triggered consensus tracking of a class of uncertain nonlinear multi-agent systems. IEEE Transactions on Neural Networks and Learning Systems. https://doi.org/https://doi.org/10.1109/TNNLS.2020.3047945
- Chu, T., Wang, L., Chen, T., & Mu, S. (2006). Complex emergent dynamics of anisotropic swarms: convergence vs. oscillation. Chaos, Solutions & Fractals, 30(4), 875–885. https://doi.org/https://doi.org/10.1016/j.chaos.2005.08.133
- Fu, Z., He, X., Huang, T., & Abu-Rub, H. (2016). A distributed continuous time consensus algorithm for maximize social welfare in micro grid. Journal of the Franklin Institute, 353(15), 3966–3984. https://doi.org/https://doi.org/10.1016/j.jfranklin.2016.07.009
- Gharesifard, B., & Cortés, J. (2012, June 27–29). Distributed convergence to Nash equilibria by adversarial networks with undirected topologies. American Control Conference (ACC), Montreal, QC (pp. 5881–5886). IEEE. https://doi.org/https://doi.org/10.1109/ACC.2012.6315270
- Hardy, G., Littlewood, J., & Polya, G. (1998). Inequalities. Cambridge University Press.
- He, C., & Li, J. (2020). Event-based aperiodically intermittent pinning synchronization control strategy for linearly coupled complex networks. Nonlinear Analysis: Hybrid Systems, 36, 100836. https://doi.org/https://doi.org/10.1016/j.nahs.2019.100836
- Hong, H., Yu, W., Fu, J., & Yu, X. (2019). A novel class of distributed fixed-time consensus protocols for second-order nonlinear and disturbed multi-agent systems. IEEE Transactions on Network Science and Engineering, 6(4), 760–772. https://doi.org/https://doi.org/10.1109/TNSE.6488902
- Hou, M., Wang, J., & Zhao, Z. (2019, November 22–24). Distributed consensus of multi-agent via aperiodic intermittent sampled-data control. Chinese Automation Congress (CAC), Hangzhou, China (pp. 3764–3768). IEEE. https://doi.org/https://doi.org/10.1109/CAC48633.2019.8996697
- Hu, A., & Cao, J. (2017). Consensus of multi-agent systems via intermittent event-triggered control. International Journal of Systems Science, 48(2), 280–287. https://doi.org/https://doi.org/10.1080/00207721.2016.1179817
- Hu, C., & Jiang, H. (2015). Pinning synchronization for directed networks with node balance via adaptive intermittent control. Nonlinear Dynamics, 80(1), 295–307. https://doi.org/https://doi.org/10.1007/s11071-014-1869-0
- Hu, Z., & Yang, J. (2018). Distributed finite-time optimization for second order continuous-time multiple agents systems with time-varying cost function. Neurocomputing, 287(3), 173–184. https://doi.org/https://doi.org/10.1016/j.neucom.2018.01.082
- Ji, Z., Wang, Z., Lin, H., & Wang, Z. (2009). Interconnection topologies for multi-agent coordination under leader-follower framework. Automatica, 45(12), 2857–2863. https://doi.org/https://doi.org/10.1016/j.automatica.2009.09.002
- Li, G., Wu, Y., & Liu, X. (2020). Adaptive fixed-time consensus tracking control method for second-order multi-agent systems with disturbances. Journal of the Franklin Institute, 357(3), 1516–1531. https://doi.org/https://doi.org/10.1016/j.jfranklin.2019.10.035
- Li, Y., Ding, S., Hua, C., & Liu, G. (2021). Distributed adaptive leader-following consensus for nonlinear multiagent systems with actuator failures under directed switching graphs. IEEE Transactions on Cybernetics. https://doi.org/https://doi.org/10.1109/TCYB.2021.3091392
- Lin, P., Ren, W., & Farrell, J. (2017). Distributed continuous-time optimization: nonuniform gradient gains, finite-time convergence, and convex constraint set. IEEE Transactions on Automatic Control, 62(5), 2239–2253. https://doi.org/https://doi.org/10.1109/TAC.2016.2604324
- Liu, H., Zheng, W., & Yu, W. (2021). Continuous-time algorithms based on finite-time consensus for distributed constrained convex optimization. IEEE Transactions on Automatic Control. https://doi.org/https://doi.org/10.1109/TAC.2021.3079192
- Liu, P., Xiao, F., & Wei, B. (2021). Event-triggered control for multi-agent systems: event mechanisms for information transmission and controller update. Journal of Systems Science and Complexity. https://doi.org/https://doi.org/10.1007/s11424-021-0200-7
- Luo, S., Xu, J., & Liang, X. (2021). Mean-square consensus of heterogeneous multi-agent systems with time-varying communication delays and intermittent observations. IEEE Transactions on Circuits and Systems II: Express Briefs. https://doi.org/https://doi.org/10.1109/TCSII.2021.3079297
- Madan, R., & Lall, S. (2004, November 29–December 3). Distributed algorithms for maximum lifetime routing in wireless sensor networks. IEEE Global Telecommunications Conference, Dallas, TX (pp. 748–753). IEEE. https://doi.org/https://doi.org/10.1109/GLOCOM.2004.1378060
- Nedić, A., & Ozdaglar, A. (2009). Distributed subgradient methods for multi-agent optimization. IEEE Transactions on Automatic Control, 54(1), 48–61. https://doi.org/https://doi.org/10.1109/TAC.2008.2009515
- Ni, J., Tang, Y., & Shi, P. (2021). A new fixed-time consensus tracking approach for second-order multiagent systems under directed communication topology. IEEE Transactions on Systems, Man, and Cybernetics: Systems, 51(4), 2488–2500. https://doi.org/https://doi.org/10.1109/TSMC.2019.2915562
- Nowzari, C., Garcia, E., & Cortés, J. (2019). Event-triggered communication and control of networked systems for multi-agent consensus. Automatica, 105(2), 1–27. https://doi.org/https://doi.org/10.1016/j.automatica.2019.03.009
- Tran, N., Wang, Y., Liu, X., Xiao, J., & Lei, Y. (2019). Distributed optimization problem for second-order multi-agent systems with event-triggered and time-triggered communication. Journal of the Franklin Institute, 356(17), 10196–10215. https://doi.org/https://doi.org/10.1016/j.jfranklin.2018.02.009
- Wang, D., Gupta, V., & Wang, W. (2018). An event-triggered protocol for distributed optimal coordination of double-integrator multi-agent systems. Neurocomputing, 319(1), 34–41. https://doi.org/https://doi.org/10.1016/j.neucom.2018.08.073
- Wang, L., & Xiao, F. (2010). Finite-time consensus problems for networks of dynamic agents. IEEE Transactions on Automatic Control, 55(4), 950–955. https://doi.org/https://doi.org/10.1109/TAC.2010.2041610
- Wang, X., Hong, Y., & Ji, H. (2016). Distributed optimization for a class of nonlinear multiagent systems with disturbance rejection. IEEE Transactions on Cybernetics, 46(7), 1655–1666. https://doi.org/https://doi.org/10.1109/TCYB.2015.2453167
- Wang, X., Hong, Y., Yi, P., Ji, H., & Kang, Y. (2017). Distributed optimization design of continuous-time multiagent systems with unknown-frequency disturbances. IEEE Transactions on Cybernetics, 47(8), 2058–2066. https://doi.org/https://doi.org/10.1109/TCYB.2017.2703945
- Wang, X., & Wang, G. (2020). Distributed finite-time optimisation algorithm for second-order multi-agent systems subject to mismatched disturbances. IET Control Theory and Applications, 14(18), 2977–2988. https://doi.org/https://doi.org/10.1049/cth2.v14.18
- Wang, X., Wang, G., & Li, S. (2020). Distributed finite-time optimization for integrator chain multiagent systems with disturbances. IEEE Transactions on Automatic Control, 65(12), 5296–5311. https://doi.org/https://doi.org/10.1109/TAC.9
- Wang, X., Wang, G., & Li, S. (2021). Distributed finite-time optimization for disturbed second-order multiagent systems. IEEE Transactions on Cybernetics, 51(9), 4634–4647. https://doi.org/https://doi.org/10.1109/TCYB.2020.2988490
- Xiao, F., Wang, L., Chen, J., & Gao, Y. (2009). Finite-time formation control for multi-agent systems. Automatica, 45(11), 2605–2611. https://doi.org/https://doi.org/10.1016/j.automatica.2009.07.012
- Yang, S., Liu, Q., & Wang, J. (2017). Distributed optimization based on a multiagent system in the presence of communication delays. IEEE Transactions on Systems, Man, and Cybernetics: Systems, 47(5), 717–728. https://doi.org/https://doi.org/10.1109/TSMC.2016.2531649
- Yang, Y., Yang, H., Liu, F., & Liu, L. (2020). Optimal control of distributed multi-agent systems with finite-time group flocking. International Journal of Intelligent Systems, 35(9), 1416–1432. https://doi.org/https://doi.org/10.1002/int.v35.9
- Yang, Z., Zhang, Q., & Chen, Z. (2019). Adaptive distributed convex optimization for multi-agent and its application in flocking behavior. Journal of the Franklin Institute, 356(2), 1038–1050. https://doi.org/https://doi.org/10.1016/j.jfranklin.2018.05.004
- Yu, G., & Shen, Y. (2019). Event-triggered distributed optimisation for multi-agent systems with transmission delay. IET Control Theory & Applications, 13(14), 2188–2196. https://doi.org/https://doi.org/10.1049/cth2.v13.14
- Yu, H., & Chen, T. (2021). A new Zeno-free event-triggered scheme for robust distributed optimal coordination. Automatica, 129(10), 109639. https://doi.org/https://doi.org/10.1016/j.automatica.2021.109639
- Yu, Z., Jiang, H., Hu, C., & Fan, X. (2017). Consensus of second-order multi-agent systems with delayed nonlinear dynamics and aperiodically intermittent communications. International Journal of Control, 90(5), 909–922. https://doi.org/https://doi.org/10.1080/00207179.2016.1187305
- Yu, Z., Yu, S., Jiang, H., & Mei, X. (2021). Distributed fixed-time optimization for multi-agent systems over a directed network. Nonlinear Dynamics, 103(1), 775–789. https://doi.org/https://doi.org/10.1007/s11071-020-06116-1
- Zhang, H., Ren, H., Mu, Y., & Han, J. (2021). Optimal consensus control design for multiagent systems with multiple time delay using adaptive dynamic programming. IEEE Transactions on Cybernetics. https://doi.org/https://doi.org/10.1109/TCYB.2021.3090067
- Zhang, Y., Lou, Y., Hong, Y., & Xie, L. (2015). Distributed projection-based algorithms for source localization in wireless sensor networks. IEEE Transactions on Wireless Communications, 14(6), 3131–3142. https://doi.org/https://doi.org/10.1109/TWC.2015.2402672
- Zhang, Z., Chen, S., & Su, H. (2020). Scaled consensus of second-order nonlinear multiagent systems with time-varying delays via aperiodically intermittent control. IEEE Transactions on Cybernetics, 50(8), 3503–3516. https://doi.org/https://doi.org/10.1109/TCYB.6221036
- Zhao, Y., Liu, Y., & Wen, G. (2017). Distributed optimization for linear multiagent systems: edge- and node-based adaptive designs. IEEE Transactions on Automatic Control, 62(7), 3602–3609. https://doi.org/https://doi.org/10.1109/TAC.2017.2669321
- Zhao, Z., Chen, G., & Dai, M. (2018). Distributed event-triggered scheme for a convex optimization problem in multi-agent systems. Neurocomputing, 284(2), 90–98. https://doi.org/https://doi.org/10.1016/j.neucom.2017.12.060
- Zhu, M., & Martínez, S. (2012). On distributed convex optimization under inequality and equality constraints. IEEE Transactions on Automatic Control, 57(1), 151–164. https://doi.org/https://doi.org/10.1109/TAC.2011.2167817