1,071
Views
53
CrossRef citations to date
0
Altmetric
Original Articles

Finite-time consensus for leader-following second-order multi-agent system

&
Pages 727-738 | Received 26 Jan 2011, Accepted 03 Jul 2011, Published online: 29 Sep 2011

References

  • Abdessameud , A and Tayebi , A . 2010 . On Consensus Algorithms for Double-integrator Dynamics without Velocity Measurements and with Input Constraints . Systems and Control Letters , 59 : 812 – 821 .
  • Cheng , D , Wang , J and Hu , X . 2008 . An Extension of LaSalle's Invariance Principle and its Application to Multi-agent Consensus . IEEE Transaction on Automatic Control , 53 : 1765 – 1770 .
  • Consolini , L , Morbidi , F , Prattichizzo , D and Tosques , M . 2008 . Leader–Follower Formation Control of Nonholonomic Mobile Robots with Input Constraints . Automatica , 44 : 1343 – 1349 .
  • Cortes , J . 2008 . Distributed Algorithms for Reaching Consensus on General Functions . Automatica , 44 : 726 – 737 .
  • Dimarogonasa , DV , Tsiotras , P and Kyriakopoulos , KJ . 2009 . Leader–Follower Cooperative Attitude Control of Multiple Rigid Bodies . Systems and Control Letters , 58 : 429 – 435 .
  • Hui , Q and Haddad , WM . 2008 . Distributed Nonlinear Control Algorithms for Network Consensus . Automatica , 44 : 2375 – 2381 .
  • Jiang , F and Wang , L . 2009 . Finite-time Information Consensus for Multi-agent Systems with Fixed and Switching Topologies . Physica D: Nonlinear Phenomena , 238 : 1550 – 1560 .
  • Guan , ZH . Liu, Z.W., Feng, G., and Wang,Y.W. (2010), ‘Synchronization of Complex Dynamical Networks with Time-varying Delays Via Impulsive Distributed Control’, IEEE Transactions on Circuits and Systems I: Regular Papers, 57(8), 2182–2195
  • Jiang , HB , Yu , JJ and Zhou , CG . 2011 . Consensus of Multi-agent Linear Dynamic Systems via Impulsive Control Protocols . International Journal of Systems Science , 42 : 967 – 976 .
  • Lu , J , Ho , DWC and Kurths , J . 2009 . Consensus over Directed Static Networks with Arbitrary Finite Communication Delays . Physical Review E: Statistical, Nonlinear, and Soft Matter Physics , 80 : 066121
  • Nosrati , S . and Shafiee, M. (2007), ‘Time-delay Dependent Stability Robustness of Small-world Protocols for Fast Distributed Consensus Seeking’, in 5th International Symposium on Modeling and Optimization in Mobile, Ad Hoc and Wireless Networks and Workshops, Limassol, 16–20 April, pp. 1–9
  • Olfati-Saber , R . 2006 . Flocking for Multi-agent Dynamic Systems: Algorithms and Theory . IEEE Transactions on Automatic Control , 51 : 410 – 420 .
  • Olfati-Saber , R and Murray , RM . 2004 . Consensus Problems in Networks of Agents with Switching Topology and Time-delays . IEEE Transactions on Automatic Control , 49 : 1520 – 1533 .
  • Peng , K and Yang , YP . 2009 . Leader-following Consensus Problem with a Varying-velocity Leader and Time-varying Delays . Physica A: Statistical Mechanics and its Applications , 388 : 193 – 208 .
  • Qing , H , Haddad , WM and Bhat , SP . 2010 . Finite-time Semistability, Filippov Systems, and Consensus Protocols for Nonlinear Dynamical Networks with Switching Topologies . Nonlinear Analysis: Hybrid Systems , 4 : 557 – 573 .
  • Ren , W and Atkins , E . 2007 . Distributed Multi-vehicle Coordinated Control via Local Information Exchange . International Journal of Robust and Nonlinear Control , 17 : 1002 – 1033 .
  • Ren , W and Beard , RW . 2005 . Consensus Seeking in Multi-agent Systems under Dynamically Changing Interaction Topologies . IEEE Transactions on Automatic Control , 50 : 655 – 661 .
  • Rosier , L . 1992 . Homogeneous Lyapunov Function for Homogeneous Continuous Vector Field . Systems and Control Letters , 9 : 467 – 473 .
  • Rouche , N , Habets , P and Laloy , M . 1977 . Stability Theory by Liapunov's Direct Method , New York : Springer-Verlag .
  • Song , Q , Cao , JD and Yu , WW . 2010 . Second-order Leader-following Consensus of Nonlinear Multi-agent Systems via Pinning Control . Systems and Control Letters , 59 : 553 – 562 .
  • Sun , YZ and Ruan , J . 2008 . Leader-follower Consensus Problems of Multi-agent Systems with Noise Perturbation and Time Delays . Chinese Physics Letters , 25 : 3493 – 3495 .
  • Sun , Y , Wang , L and Xie , G . 2008 . Average Consensus in Networks of Dynamic Agents with Switching Topologies and Multiple Time-varying Delays . Systems and Control Letters , 57 : 175 – 183 .
  • Wang , X . and 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, Seoul, Korea, 6–11 July, pp. 15185–15190
  • Wang , X and Hong , Y . 2010 . Distributed Finite-time χ-Consensus Algorithms for Multi-agent Systems with Variable Coupling Topology . Journal of System Science and Complex , 23 : 209 – 218 .
  • Wang , L and Xiao , F . 2010 . Finite-time Consensus Problems for Networks of Dynamic Agents . IEEE Transaction on Automatic Control , 55 : 950 – 955 .
  • Wu , ZH . and Fang, H.J. (2010), ‘Delayed-state-derivative Feedback for Improving Consensus Performance of Second-order Delayed Multi-agent Systems’, International Journal of Systems Science, DOI: 10.1080/00207721003802289
  • Wu , QJ . Zhou, J., and Xiang, L. (2011), ‘Impulsive Consensus Seeking in Directed Networks of Multi-agent Systems with Communication Time-delays’, International Journal of Systems Science, DOI: 10.1080/00207721.2010.547630
  • Zhou , J and Wang , Q . 2009 . Convergence Speed in Distributed Consensus over Dynamically Switching Random Networks . Automatica , 45 : 1455 – 1461 .
  • Zhu , MH and Martinez , S . 2010 . Discrete-time Dynamic Average Consensus . Automatica , 46 : 322 – 329 .

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.