| Citation: | M. baradarannia, F. Hashemzadeh, and T. Kumbasar, “Enclosing formation control of multi-agent systems under denial-of-service attacks,” IEEE/CAA J. Autom. Sinica, early access, 2026. doi: 10.1109/JAS.2026.126161 |
| [1] |
H. Menouar, I. Guvenc, K. Akkaya, A. S. Uluagac, A. Kadri, and A. Tuncer, “UAV-enabled intelligent transportation systems for the smart city: Applications and challenges,” IEEE Commun. Mag., vol. 55, no. 3, pp. 22–28, Mar. 2017. doi: 10.1109/MCOM.2017.1600238CM
|
| [2] |
F. Hashemzadeh and T. Kumbasar, “Swarm of drones for surveillance monitoring of a grounded target: An event-triggered approach,” Drone Syst. Appl., vol. 12, pp. 1–16, Oct. 2024. doi: 10.1139/dsa-2023-0107
|
| [3] |
H. Ishii, Y. Wang, and S. Feng, “An overview on multi-agent consensus under adversarial attacks,” Annu. Rev. Control, vol. 53, pp. 252–272, Mar. 2022. doi: 10.1016/j.arcontrol.2022.01.004
|
| [4] |
K.-K. Oh, M.-C. Park, and H.-S. Ahn, “A survey of multi-agent formation control,” Automatica, vol. 53, pp. 424–440, Mar. 2015. doi: 10.1016/j.automatica.2014.10.022
|
| [5] |
J. Guo, G. Yan, and Z. Lin, “Local control strategy for moving-target-enclosing under dynamically changing network topology,” Syst. Control Lett., vol. 59, no. 10, pp. 654–661, Oct. 2010. doi: 10.1016/j.sysconle.2010.07.010
|
| [6] |
Y. J. Shi, R. Li, and T. T. Wei, “Target-enclosing control for second-order multi-agent systems,” Int. J. Syst. Sci., vol. 46, no. 12, pp. 2279–2286, Sep. 2015. doi: 10.1080/00207721.2013.860641
|
| [7] |
Z. Peng, Y. Jiang, and J. Wang, “Event-triggered dynamic surface control of an underactuated autonomous surface vehicle for target enclosing,” IEEE Trans. Ind. Electron., vol. 68, no. 4, pp. 3402–3412, Apr. 2021. doi: 10.1109/TIE.2020.2978713
|
| [8] |
L. Dou, X. Yu, L. Liu, X. Wang, and G. Feng, “Moving-target enclosing control for mobile agents with collision avoidance,” IEEE Trans. Control Network Syst., vol. 8, no. 4, pp. 1669–1679, Dec. 2021. doi: 10.1109/TCNS.2021.3078120
|
| [9] |
B. Yan, Y. Sun, P. Shi, and C.-C. Lim, “Event and learning-based resilient formation control for multiagent systems under DoS attacks,” IEEE Trans. Syst., Man, Cybern.: Syst., vol. 54, no. 8, pp. 4876–4886, Aug. 2024. doi: 10.1109/TSMC.2024.3400879
|
| [10] |
Y. Shi, R. Li, and K. L. Teo, “Cooperative enclosing control for multiple moving targets by a group of agents,” Int. J. Control, vol. 88, no. 1, pp. 80–89, Jul. 2015. doi: 10.1080/00207179.2014.938447
|
| [11] |
W. Li, K. Qin, M. Shi, J. Shao, and B. Lin, “Dynamic target enclosing control scheme for multi-agent systems via a signed graph-based approach,” IEEE/CAA J. Autom. Sinica, vol. 10, no. 2, pp. 560–562, Feb. 2023. doi: 10.1109/JAS.2023.123234
|
| [12] |
F. Chen, W. Ren, and Y. Cao, “Surrounding control in cooperative agent networks,” Syst. Control Lett., vol. 59, no. 11, pp. 704–712, Nov. 2010. doi: 10.1016/j.sysconle.2010.08.006
|
| [13] |
S. Shoja, M. Baradarannia, F. Hashemzadeh, M. Badamchizadeh, and P. Bagheri, “Surrounding control of nonlinear multi-agent systems with non-identical agents,” ISA Trans., vol. 70, pp. 219–227, Sep. 2017. doi: 10.1016/j.isatra.2017.06.011
|
| [14] |
A. Sharghi, M. Baradarannia, and F. Hashemzadeh, “Finite-time-estimation-based surrounding control for a class of unknown nonlinear multi-agent systems,” Nonlinear Dyn., vol. 96, pp. 1795–1804, May 2019. doi: 10.1007/s11071-019-04884-z
|
| [15] |
S. Sun, F. Chen, and W. Ren, “Distributed average tracking in weight-unbalanced directed networks,” IEEE Trans. Autom. Control, vol. 66, no. 9, pp. 4436–4443, Sep. 2021. doi: 10.1109/TAC.2020.3046029
|
| [16] |
X. Sun, H. Du, W. Chen, and W. Zhu, “Distributed finite-time formation control of multiple mobile robot systems without global information,” IEEE/CAA J. Autom. Sinica, vol. 12, no. 3, pp. 630–632, Mar. 2025. doi: 10.1109/JAS.2023.123981
|
| [17] |
Y. Wang, Z. Wang, H. Zhang, and H. Yan, “Time-varying formation tracking control of heterogeneous multi-agent systems with intermittent communications and directed switching networks,” IEEE/CAA J. Autom. Sinica, vol. 12, no. 1, pp. 294–296, Jan. 2025. doi: 10.1109/JAS.2023.123924
|
| [18] |
Z. Yu, Z. Liu, Y. Zhang, Y. Qu, and C.-Y. Su, “Distributed finite-time fault-tolerant containment control for multiple unmanned aerial vehicles,” IEEE Trans. Neural Networks Learn. Syst., vol. 31, no. 6, pp. 2077–2091, Jun. 2020. doi: 10.1109/TNNLS.2019.2927887
|
| [19] |
Z. Yu, Y. Zhang, B. Jiang, and C.-Y. Su, Fault-Tolerant Cooperative Control of Unmanned Aerial Vehicles. Singapore, Singapore: Springer, 2024.
|
| [20] |
H. Xiong, G. Chen, H. Ren, and H. Li, “Broad-learning-system-based model-free adaptive predictive control for nonlinear mass under DoS attacks,” IEEE/CAA J. Autom. Sinica, vol. 12, no. 2, pp. 381–393, Feb. 2025. doi: 10.1109/JAS.2024.124929
|
| [21] |
L. Xia, Q. Li, R. Song, and Z. Zhang, “Leader-follower time-varying output formation control of heterogeneous systems under cyber attack with active leader,” Inf. Sci., vol. 585, pp. 24–40, Mar. 2022. doi: 10.1016/j.ins.2021.11.026
|
| [22] |
K. Pan, Y. Lyu, and Q. Pan, “Adaptive formation for multiagent systems subject to denial-of-service attacks,” IEEE Trans. Circuits Syst. I: Regul. Pap., vol. 69, no. 8, pp. 3391–3401, Aug. 2022. doi: 10.1109/TCSI.2022.3168163
|
| [23] |
Y. Yang, Y. Xiao, and T. Li, “Attacks on formation control for multiagent systems,” IEEE Trans. Cybern., vol. 52, no. 12, pp. 12805–12817, Dec. 2022. doi: 10.1109/TCYB.2021.3089375
|
| [24] |
Y. Tang, D. Zhang, P. Shi, W. Zhang, and F. Qian, “Event-based formation control for nonlinear multiagent systems under DoS attacks,” IEEE Trans. Autom. Control, vol. 66, no. 1, pp. 452–459, Jan. 2021. doi: 10.1109/TAC.2020.2979936
|
| [25] |
Y. Zhong, Y. Yuan, H. Yuan, M. Wang, and H. Liu, “Multi-spacecraft formation control under false data injection attack: A cross layer fuzzy game approach,” IEEE/CAA J. Autom. Sinica, vol. 12, no. 4, pp. 776–788, Apr. 2025. doi: 10.1109/jas.2024.124872
|
| [26] |
A. Sharafian, F. Ghandi, A. Ali, I. Ullah, B. Zhang, and X. Bai, “Consensus tracking control of incommensurate fractional order multiagent systems using sliding mode for secure communication systems,” Phys. Scr., vol. 100, no. 8, Art. no. 085260, Aug. 2025.
|
| [27] |
A. Sharafian, A. Ali, I. Ullah, T. R. Khalifa, X. Bai, and L. Qiu, “Fuzzy adaptive control for consensus tracking in multiagent systems with incommensurate fractional-order dynamics: Application to power systems,” Inf. Sci., vol. 689, Art. no. 121455, Jan. 2025.
|
| [28] |
A. Sharafian, I. Ullah, S. K. Singh, A. Ali, H. Khan, and X. Bai, “Adaptive fuzzy backstepping secure control for incommensurate fractional order cyber–physical power systems under intermittent denial of service attacks,” Chaos, Solitons Fractals, vol. 186, Art. no. 115288, Sep. 2024.
|
| [29] |
S. P. Bhat and D. S. Bernstein, “Finite-time stability of continuous autonomous systems,” SIAM J. Control Optim., vol. 38, no. 3, pp. 751–766, Jan. 2000. doi: 10.1137/S0363012997321358
|
| [30] |
Z. Zhu, Y. Xia, and M. Fu, “Attitude stabilization of rigid spacecraft with finite-time convergence,” Int. J. Robust Nonlinear Control, vol. 21, no. 6, pp. 686–702, Apr. 2011. doi: 10.1002/rnc.1624
|
| [31] |
X. Zhao, Q. Fan, H. Huang, Y. Gao, and D. Zhang, “Practical finite-/fixed-time improved command-filtered backstepping control for nonlinear systems via immersion and invariance,” Chaos, Solitons Fractals, vol. 177, Art. no. 114287, Dec. 2023.
|
| [32] |
Z. Zuo and L. Tie, “A new class of finite-time nonlinear consensus protocols for multi-agent systems,” Int. J. Control, vol. 87, no. 2, pp. 363–370, Feb. 2014. doi: 10.1080/00207179.2013.834484
|
| [33] |
W. Zhang and W. Wei, “Disturbance-observer-based finite-time adaptive fuzzy control for non-triangular switched nonlinear systems with input saturation,” Inf. Sci., vol. 561, pp. 152–167, Jun. 2021. doi: 10.1016/j.ins.2021.01.026
|
| [34] |
R. A. Horn and C. R. Johnson, Matrix Analysis. Cambridge, UK: Cambridge University Press, 2012.
|
| [35] |
W. Duo, M. C. Zhou, and A. Abusorrah, “A survey of cyber attacks on cyber physical systems: Recent advances and challenges,” IEEE/CAA J. Autom. Sinica, vol. 9, no. 5, pp. 784–800, May 2022. doi: 10.1109/JAS.2022.105548
|
| [36] |
Z. Feng and G. Hu, “Resilient time-varying output formation tracking of heterogeneous linear multiagent systems under malicious false data injection attacks and denial-of-service attacks over digraphs,” Int. J. Robust Nonlinear Control, vol. 33, no. 7, pp. 4281–4303, May 2023. doi: 10.1002/rnc.6606
|
| [37] |
C. De Persis and P. Tesi, “Input-to-state stabilizing control under denial-of-service,” IEEE Trans. Autom. Control, vol. 60, no. 11, pp. 2930–2944, Nov. 2015. doi: 10.1109/TAC.2015.2416924
|
| [38] |
F. Chen, Y. Cao, and W. Ren, “Distributed average tracking of multiple time-varying reference signals with bounded derivatives,” IEEE Trans. Autom. Control, vol. 57, no. 12, pp. 3169–3174, Dec. 2012. doi: 10.1109/TAC.2012.2199176
|
| [39] |
H. Khalil, Nonlinear Systems. Englewood Cliffs, USA: Prentice Hall, 2002.
|
Supplementary Material.mp4
|
|