217
Views
6
CrossRef citations to date
0
Altmetric
Original Articles

Asymptotic swarm stability of fractional-order swarm systems in the presence of uniform time-delays

&
Pages 1182-1191 | Received 23 May 2015, Accepted 22 Nov 2015, Published online: 04 Jan 2016

References

  • Baoxian, W., Jigui, J., & Yanjun, S. (2014). Consensus of fractional-order multi-agent systems with input delays and compounded orders. In Proceedings of the 33rd Chinese Control Conference (pp. 1110–1114). Nanjing, China.
  • Cai, N., Xi, J.X., & Zhong, Y.S. (2009). Swarm stability of high-order linear time-invariant swarm systems. IET Control Theory and Applications, 5(2), 402–408.
  • Cao, Y., Li, Y., Ren, W., & Chen, Y.Q. (2010). Distributed coordination of networked fractional-order systems. IEEE Transactions on Systems, Man, and Cybernetics, Part B, Cybernetics, 40(2), 362–370.
  • Cao, Y., & Ren, W. (2014). Finite-time consensus for multi-agent networks with unknown inherent nonlinear dynamics. Automatica, 50(10), 2648–2656.
  • Caponetto, R., Dongola, G., Fortuna, L., & Petras, I. (2010). Fractional-order systems: Modeling and control applications. London: World Scientific.
  • Godsil, C., & Royle, G. (2000). Algebraic graph theory. New York, NY: Springer.
  • Hu, Q., Dong, H., Zhang, Y., & Ma, G. (2015). Tracking control of spacecraft formation flying with collision avoidance. Aerospace Science and Technology, 42, 353–364.
  • Kaczorek, T. (2011). Selected problems of fractional systems theory. Berlin: Springer.
  • Li, C., Qu, Z., & Weitnauer, M.A. (2015). Distributed extremum seeking and formation control for nonholonomic mobile network. Systems and Control Letters, 75, 27–34.
  • Lu, J., Shen, J., Cao, J., & Kurths, J. (2013). Consensus of networked multi-agent systems with delays and fractional order dynamics. In L. Kocarev (Ed.), Consensus and synchronization in complex networks (pp. 69–110). Berlin: Springer.
  • Madhja, A., Nikoletseas, S., & Raptis, T.P. (2015). Distributed wireless power transfer in sensor networks with multiple mobile chargers. Computer Networks, 80, 89–108.
  • Martin, S. (2014). Multi-agent flocking under topological interactions. Systems and Control Letters, 69, 53–61.
  • Naderi Soorki, M., & Tavazoei, M.S. (2013). Fractional-order linear time invariant swarm systems: Asymptotic swarm stability and time response analysis. Central European Journal of Physics, 11(6), 845–854.
  • Naderi Soorki, M., & Tavazoei, M.S. (2014). Adaptive consensus tracking for fractional-order linear time invariant swarm systems. ASME Journal of Computational and Nonlinear Dynamics, 9(3), 031012.
  • Olfati-Saber, R., & Murray, R.M. (2004). Consensus problems in networks of agents with switching topology and time-delays. IEEE Transactions on Automatic Control, 49(9), 1520–1533.
  • Podlubny, I. (1999). Fractional differential equations. San Diego: Academic Press.
  • Shen, J., & Cao, J. (2012). Necessary and sufficient conditions for consensus of delayed fractional-order systems. Asian Journal of Control, 14(6), 1690–1697.
  • Shen, J., Cao, J., & Lu, J. (2012). Consensus of fractional-order systems with non-uniform input and communication delays. Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering, 226(2), 271–283.
  • Song, C., & Cao, J. (2013). Consensus of fractional-order linear systems. In Asian Control Conference (pp. 1–4). Istanbul, Turkey.
  • Tavakoli-Kakhki, M., Haeri, M., & Tavazoei, M.S. (2011). Notes on the state space realizations of rational order transfer functions. IEEE Transactions on Circuits and Systems I, 58, 1099–1108.
  • Tian, Y.P., & Zhang, Y. (2012). High-order consensus of heterogeneous multi-agent systems with unknown communication delays. Automatica, 48(6), 1205–1212.
  • Valcher, M.E., & Misra, P. (2014). On the stabilizability and consensus of positive homogeneous multi-agent dynamical systems. IEEE Transactions on Automatic Control, 59(7), 1936–1941.
  • Wang, J., Duan, Z., Wen, G., & Chen, G. (2014). Leader-following consensus of networked second-order agents with delayed information transmission. IET Control Theory and Applications, 8(14), 1421–1428.
  • Xi, J., Shi, Z., & Zhonga, Y. (2011). Consensus analysis and design for high-order linear swarm systems with time-varying delays. Physica A, 390(23–24), 4114–4123.
  • Xueliang, L., Xiuping, L., & Zhi, S. (2014). Improvement for consensus performance of fractional order systems with communication delays. In 33rd Chinese Control Conference pp. (1470–1475). Nanjing.
  • Yin, X., Yue, D., & Hu, S. (2013). Consensus of fractional-order heterogeneous multi-agent systems. IET Control Theory and Applications, 7(2), 1751–8644.
  • Yu, W., Chen, G., & Cao, M. (2010). Distributed leader–follower flocking control for multi-agent dynamical systems with time-varying velocities. Systems Control Letters, 59(9), 543–552.
  • Yu, Z., Jiang, H., & Hu, C. (2015). Leader-following consensus of fractional-order multi-agent systems under fixed topology. Neurocomputing, 149(Part b), 613–620.
  • Zhou, Z., Fang, H., & Hong, Y. (2013). Distributed estimation for moving target based on state-consensus strategy. IEEE Transactions on Automatic Control, 58(8), 2096–2101.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.