References
- Arscott, F. M. (1988). Differential equations with discontinuous righthand sides (pp. 377–390). Amsterdam: Kluwer Academic Publisher.
- Bhat, S. P., & Bernstein, D. S. (2005). Geometric homogeneity with applications to finite-time stability. Mathematics of Control, Signals, and Systems, 17, 101–127. doi: 10.1007/s00498-005-0151-x
- Defoort, M., Polyakov, A., Demesure, G., Djemai, M., & Veluvolu, K. (2015). Leader-follower fixed-time consensus for multi-agent systems with unknown non-linear inherent dynamics. IET Control Theory and Applications, 9, 2165–2170. doi: 10.1049/iet-cta.2014.1301
- Dong, W., & Farrell, J. A. (2008). Cooperative control of multiple nonholonomic mobile agents. IEEE Transactions on Automatic Control, 53, 1434–1448. doi: 10.1109/TAC.2008.925852
- Fu, J., & Wang, J. (2016). Observer-based finite-time coordinated tracking for general linear multi-agent systems. Automatica, 66, 231–237. doi: 10.1016/j.automatica.2015.12.025
- Gao, J., Shen, Q., & Yang, P. (2017). Sliding mode fault tolerant control with prescribed performance. International Journal of Innovative Computing, Information and Control, 13, 687–694.
- Ghasemi, M., & Nersesov, S. G. (2014). Finite-time coordination in multiagent systems using sliding mode control approach. Automatica, 50, 1209–1216. doi: 10.1016/j.automatica.2014.02.019
- Han, S. I. (2018). Prescribed consensus and formation error constrained finite-time sliding mode control for multi-agent mobile robot systems. IET Control Theory and Applications, 12, 282–290. doi: 10.1049/iet-cta.2017.0351
- He, X., Wang, Q., & Yu, W. (2015). Distributed finite-time containment control for second-order nonlinear multi-agent systems. Applied Mathematics and Computation, 268, 509–521. doi: 10.1016/j.amc.2015.06.101
- Hu, J., & Feng, G. (2010). Distributed tracking control of leader-follower multi-agent systems under noisy measurement. Automatica, 46, 1382–1387. doi: 10.1016/j.automatica.2010.05.020
- Khalil, H. K. (2002). Nonlinear systems (3rd ed.). Upper Saddle River, NJ: Prentice-Hall.
- Lin, P., Ren, W., Yang, C., & Gui, W. (2017). Distributed consensus of second-order multi-agent systems with nonconvex velocity and control input constraints. IEEE Transactions on Automatic Control, 63, 1171–1176. doi: 10.1109/TAC.2017.2742140
- Lu, X., Lu, R., Chen, S., & Lu, J. (2013). Finite-time distributed tracking control for multi-agent systems with a virtual leader. IEEE Transactions on Circuits and Systems I: Regular Papers, 60, 352–362. doi: 10.1109/TCSI.2012.2215786
- Mei, J., Ren, W., & Chen, J. (2016). Distributed consensus of second-order multi-agent systems with heterogeneous unknown inertias and control gains under a directed graph. IEEE Transactions on Automatic Control, 61, 2019–2034. doi: 10.1109/TAC.2015.2480336
- Parsegov, S. E., Polyakov, A. E., & Shcherbakov, P. S. (2013). Nonlinear fixed-time control protocol for uniform allocation of agents on a segment. Doklady Mathematics, 87, 133–136. doi: 10.1134/S106456241301033X
- Polyakov, A. (2012). Nonlinear feedback design for fixed-time stabilization of linear control systems. IEEE Transactions on Automatic Control, 57, 2106–2110. doi: 10.1109/TAC.2011.2179869
- Shen, Q., & Shi, P. (2015). Distributed command filtered backstepping consensus tracking control of nonlinear multiple-agent systems in strict-feedback form. Automatica, 53, 120–124. doi: 10.1016/j.automatica.2014.12.046
- Shi, P., & Shen, Q. (2015). Cooperative control of multi-agent systems with unknown state-dependent controlling effects. IEEE Transactions on Automation Science and Engineering, 12, 827–834. doi: 10.1109/TASE.2015.2403261
- Shi, P., & Shen, Q. (2017). Observer-based leader-following consensus of uncertain nonlinear multi-agent systems: Leader-following consensus of multi-agent systems. International Journal of Robust and Nonlinear Control, 27, 3794–3811. doi: 10.1002/rnc.3805
- Tian, B., Lu, H., & Zuo, Z. (2017). Fixed-time leader-follower output feedback consensus for second-order multiagent systems. IEEE Transactions on Cybernetics, 49, 1545–1550.
- Utkin, V., & Lee, H. (2006). Chattering problem in sliding mode control systems. IFAC Proceedings Volumes, 39, 346–350. doi: 10.3182/20060607-3-IT-3902.00003
- Xiao, F., Wang, L., Chen, J., & Gao, Y. (2009). Finite-time formation control for multi-agent systems. Automatica, 45, 2605–2611. doi: 10.1016/j.automatica.2009.07.012
- Yang, A., Naeem, W., & Fei, M. (2015). Formation stability analysis of unmanned multi-vehicles under interconnection topologies. International Journal of Control, 88, 754–767. doi: 10.1080/00207179.2014.972465
- Yu, W., Ren, W., Zheng, W. X., Chen, G., & Lü, J. (2013). Distributed control gains design for consensus in multi-agent systems with second-order nonlinear dynamics. Automatica, 49, 2107–2115. doi: 10.1016/j.automatica.2013.03.005
- Zhang, Y., Liang, H., Ma, H., Zhou, Q., & Yu, Z. (2018). Distributed adaptive consensus tracking control for nonlinear multi-agent systems with state constraints. Applied Mathematics and Computation, 326, 16–32. doi: 10.1016/j.amc.2017.12.038
- Zhang, H., Qing-Lei, H., & Guang-Fu, M. (2012). Robust adaptive cooperative tracking control for multi-Spacecraft formation flight based on directed graph. Journal of Astronautics, 33, 1072–1079.
- Zhang, D., Shi, P., & Yu, L. (2018). Containment control of linear multiagent systems with aperiodic sampling and measurement size reduction. IEEE Transactions on Neural Networks and Learning Systems, 29, 5020–5029. doi:10.1109/TNNLS.2017.2784365, accepted Dec 2017.
- Zhang, F., & Wang, W. (2017). Decentralized optimal control for the mean field LQG problem of multi-agent systems. International Journal of Innovative Computing, Information and Control, 13, 55–66.
- Zhao, Y., Duan, Z., Wen, G., & Chen, G. (2016). Distributed finite-time tracking of multiple non-identical second-order nonlinear systems with settling time estimation. Automatica, 64, 86–93. doi: 10.1016/j.automatica.2015.11.005
- Zhao, L.-W., & Hua, C.-C. (2014). Finite-time consensus tracking of second-order multi-agent systems via nonsingular TSM. Nonlinear Dynamics, 75, 311–318. doi: 10.1007/s11071-013-1067-5
- Zuo, Z. (2015). Nonsingular fixed-time consensus tracking for second-order multi-agent networks. Automatica, 54, 305–309. doi: 10.1016/j.automatica.2015.01.021
- Zuo, Z., & Tie, L. (2014). A new class of finite-time nonlinear consensus protocols for multi-agent systems. International Journal of Control, 87, 363–370. doi: 10.1080/00207179.2013.834484
- Zuo, Z., & Tie, L. (2016). Distributed robust finite-time nonlinear consensus protocols for multi-agent systems. International Journal of Systems Science, 47, 1366–1375. doi: 10.1080/00207721.2014.925608