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Original Articles

Robust finite-time boundedness of multi-agent systems subject to parametric uncertainties and disturbances

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Pages 2466-2474 | Received 19 Mar 2014, Accepted 17 Oct 2014, Published online: 08 Jan 2015

References

  • Amato, F., Ambrosino, R., Ariola, M., & Cosentino, C. (2009). Finite-time stability of linear time-varying systems with jumps. Automatica, 45(5), 1354–1358.
  • Amato, F., Ambrosino, R., Ariola, M., & De Tommasi, G. (2010). Robust finite-time stability of impulsive dynamical linear systems subject to norm-bounded uncertainties. International Journal of Robust and Nonlinear Control, 21(10), 1080–1092.
  • Amato, F., Ambrosino, R., Cosentino, C., & De Tommasi, G. (2010). Input–output finite time stabilization of linear systems. Automatica, 46(9), 1558–1562.
  • Amato, F., Ariola, M., Carbone, M., & Cosentino, C. (2006). Finite-time output feedback control of linear systems via differential linear matrix conditions. In 2006 45th IEEE Conference on Decision and Control (pp. 5371–5375). San Diego, CA: IEEE.
  • Amato, F., Ariola, M., & Cosentino, C. (2005). Finite-time control of linear time-varying systems via output feedback. In Proceedings of the 2005 American Control Conference (pp. 4722–4726). Portland, OR: IEEE.
  • Amato, F., Ariola, M., & Cosentino, C. (2006). Finite-time stabilization via dynamic output feedback. Automatica, 42(2), 337–342.
  • Amato, F., Ariola, M., & Cosentino, C. (2010). Finite-time stability of linear time-varying systems: Analysis and controller design. IEEE Transactions on Automatic Control, 55(4), 1003–1008.
  • Amato, F., Ariola, M., Cosentino, C., Abdallah, C., & Dorato, P. (2003). Necessary and sufficient conditions for finite-time stability of linear systems. In Proceedings of the 2003 American Control Conference (Vol. 5, pp. 4452–4456). Denver, CO: IEEE.
  • Amato, F., Ariola, M., & Dorato, P. (2001). Finite-time control of linear systems subject to parametric uncertainties and disturbances. Automatica, 37(9), 1459–1463.
  • Boyd, S., El Ghaoul, L., Feron, E., & Balakrishnan, V. (1994). Linear matrix inequalities in system and control theory (Vol. 15). Philadelphia, PA: SIAM.
  • Diao, M., Duan, Z., & Wen, G. (2014). Consensus tracking of linear multi-agent systems under networked observability conditions. International Journal of Control, 87(8), 1478–1486.
  • Dong, L., Chai, S., & Zhang, B. (2012). Necessary and sufficient conditions for consensus of multi-agent systems with nonlinear dynamics and variable topology. In 2012 UKACC International Conference on Control (pp. 1052–1056). Cardiff, UK: IEEE.
  • Fax, J., & Murray, R. (2004). Information flow and cooperative control of vehicle formations. IEEE Transactions on Automatic Control, 49(9), 1465–1476.
  • Guan, Z.-H., Hill, D.J., & Shen, X. (2005). On hybrid impulsive and switching systems and application to nonlinear control. IEEE Transactions on Automatic Control, 50(7), 1058–1062.
  • Guan, Z.-H., Hill, D.J., & Yao, J. (2006). A hybrid impulsive and switching control strategy for synchronization of nonlinear systems and application to Chua's chaotic circuit. International Journal of Bifurcation and Chaos, 16(1), 229–238.
  • Guan, Z.-H., Liu, Z.-W., Feng, G., & Jian, M. (2012). Impulsive consensus algorithms for second-order multi-agent networks with sampled information. Automatica, 48(7), 1397–1404.
  • Guerrero, J., Romero, G., & Lozano, R. (2010). Robust consensus tracking of leader-based multi-agent systems. In American Control Conference (ACC), 2010 (pp. 6299–6305). Baltimore, MD: IEEE.
  • Jin, X. (2010). Robust adaptive consensus protocols design for multi-agent systems with bounded disturbances and time-delays. In 2010 Chinese Control and Decision Conference (CCDC) (pp. 2695–2700). Xuzhou, China: IEEE.
  • Lawton, J., & Beard, R. (2002). Synchronized multiple spacecraft rotations. Automatica, 38(8), 1359–1364.
  • Li, Z., Duan, Z., Xie, L., & Liu, X. (2012). Distributed robust control of linear multi-agent systems with parameter uncertainties. International Journal of Control, 85(8), 1039–1050.
  • Liu, Z., Guan, Z., Shen, X., & Feng, G. (2011). Consensus of multi-agent networks with aperiodic sampled communication via impulsive algorithms using position-only measurements. IEEE Transactions on Automatic Control, 57(10), 2639–2643.
  • Lu, J., Ho, D.W.C., & Cao, J. (2010). A unified synchronization criterion for impulsive dynamical networks. Automatica, 46(7), 1215–1221.
  • Lu, J., Ho, D.W.C., & Kurths, J. (2009). Consensus over directed static networks with arbitrary finite communication delays. Physical Review E, 80(6), 66–121.
  • Seuret, A. (2012). A novel stability analysis of linear systems under asynchronous samplings. Automatica, 48(1), 177–182.
  • Shang, Y. (2012). Finite-time consensus for multi-agent systems with fixed topologies. International Journal of Systems Science, 43(3), 499–506.
  • Song, Q., Cao, J., & Yu, W. (2010). Second-order leader-following consensus of nonlinear multi-agent systems via pinning control. Systems & Control Letters, 59(9), 553–562.
  • Tang, Y., Gao, H., Kurths, J., & Fang, J. (2012). Evolutionary pinning control and its application in UAV coordination. IEEE Transactions on Industrial Informatics, 8(4), 828–838.
  • Tang, Y., Gao, H., Zou, W., & Kurths, J. (2013). Distributed synchronization in networks of agent systems with nonlinearities and random switchings. IEEE Transactions on Cybernetics, 43(1), 358–370.
  • Tang, Y., & Wong, W.K. (2013). Distributed synchronization of coupled neural networks via randomly occurring control. IEEE Transactions on Neural Networks and Learning Systems, 24(3), 435–447.
  • Wang, L., Sun, S., & Xia, C. (2012). Finite-time stability of multi-agent system in disturbed environment. Nonlinear Dynamics, 67(3), 2009–2016.
  • Wang, L., & Xiao, F. (2010). Finite-time consensus problems for networks of dynamic agents. IEEE Transactions on Automatic Control, 55(4), 950–955.
  • Wang, X., & Hong, Y. (2008). Finite-time consensus for multi-agent networks with second-order agent dynamics. In Proceedings of the 17th World Congress, the International Federation of Automatic Control (pp. 15185–15190), Korea, South.
  • Weiss, L., & Infante, E. (1967). Finite time stability under perturbing forces and on product spaces. IEEE Transactions on Automatic Control, 12(1), 54–59.
  • Yang, S., Cao, J., & Lu, J. (2012). A new protocol for finite-time consensus of detail-balanced multi-agent networks. Chaos: An Interdisciplinary Journal of Nonlinear Science, 22(4), 043134.
  • Yang, X., Cao, J., & Lu, J. (2011). Synchronization of delayed complex dynamical networks with impulsive and stochastic effects. Nonlinear Analysis: Real World Applications, 12(4), 2252–2266.
  • Yang, X., & Liu, G. (2012). Necessary and sufficient consensus conditions of descriptor multi-agent systems. IEEE Transactions on Circuits and Systems I: Regular Papers, 59(11), 2669–2677.
  • Yu, W., Zheng, W.X., Chen, G., Ren, W., & Cao, J. (2011). Second-order consensus in multi-agent dynamical systems with sampled position data. Automatica, 47(7), 1496–1503.
  • Zhang, B., Jia, Y., & Matsuno, F. (2014). Finite-time observers for multi-agent systems without velocity measurements and with input saturations. Systems & Control Letters, 68, 86–94.

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