Consensus of data-sampled multi-agent systems with Markovian switching topologies

Asian Journal of Control

Volumn 14, Issue 5, 2012, Pages 1366-1373

  Zhao, Huanyu ^a   Xu, Shengyuan ^a   Yuan, Deming ^a  

^a NANJING UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

Author keywords

Consensus; Markovian switching topology; multi agent system; second order system

Indexed keywords

TOPOLOGY;

CONE COMPLEMENTARY LINEARIZATION; CONSENSUS; CONSENSUS ALGORITHMS; CONSENSUS PROBLEMS; MARKOVIAN SWITCHING; MEAN SQUARE STABILITY; SECOND-ORDER SYSTEMSS; SIMULATION EXAMPLE;

MULTI AGENT SYSTEMS;

EID: 84866702209     PISSN: 15618625     EISSN: 19346093     Source Type: Journal    
DOI: 10.1002/asjc.444     Document Type: Article

References (28)

1. Vicsek, T., A. Czirok, E. B. Jacob, I. Cohen, and, O. Schochet, " Novel type of phase transitions in a system of self-driven particles," Phys. Rev. Lett., Vol. 75, No. 6, pp. 1226-1229 (1995).
2. Jadbabaie, A., J. Lin, and, A. S. Morse, " Coordination of groups of mobile autonomous agents using nearest neighbor rules," IEEE Trans. Autom. Control, Vol. 48, No. 6, pp. 988-1001 (2003).
3. Qin, J., H. Gao, and, W. Zheng, " On average consensus in directed networks of agents with switching topology and time delay," Int. J. Syst. Sci., (2010). DOI: 10.1080/00207721003802271.
4. Wu, Z., Z. H. Guan, and, X. Wu, " Consensus problem in multi-agent systems with physical position neighbourhood evolving network," Physica A, Vol. 379, No. 2, pp. 681-690 (2007). (Pubitemid 46654663)
5. Olfati-Saber, R., and, R. M. Murray, " Consensus problems in networks of agents with switching topology and time-delays," IEEE Trans. Autom. Control, Vol. 49, No. 9, pp. 1520-1533 (2004).
6. Fan, Y., G. Feng, and, Y. Wang, " Combination framework of rendezvous algorithm for multi-agent systems with limited sensing ranges," Asian J. Control, Vol. 13, No. 2, pp. 283-294 (2011).
7. Ren, W., and, R. W. Beard, " Consensus seeking in multiagent systems under dynamically changing interaction topologies," IEEE Trans. Autom. Control, Vol. 50, No. 5, pp. 655-661 (2005). (Pubitemid 40784437)
8. Ren, W., " On consensus algorithms for double-integrator dynamics," IEEE Trans. Autom. Control, Vol. 53, No. 6, pp. 1503-1509 (2008).
9. Peng, K., and, Y. Yang, " Leader-following consensus problem with a varying-velocity leader and time-varying delays," Physica A, Vol. 388, No. 2-3, pp. 193-208 (2009).
10. Yu, W., G. Chen, and, M. Cao, " Some necessary and sufficient conditions for second-order consensus in multi-agent dynamical systems," Automatica, Vol. 46, No. 6, pp. 1089-1095 (2010).
11. Yu, W., G. Chen, M. Cao, and, J. Kurths, " Second-order consensus for multi-agent systems with directed topologies and nonlinear dynamics," IEEE Trans. Syst. Man Cybern. Part B-Cybern., Vol. 40, No. 3, pp. 881-891 (2010).
12. Gao, Y., L. Wang, G. Xie, and, B. Wu, " Consensus of multi-agent systems based on sampled-data control," Int. J. Control, Vol. 82, No. 12, pp. 2193-2205 (2009).
13. Cao, Y., and, W. Ren, " Sampled-data discrete-time consensus algorithms for double-integrator dynamics under dynamic directed interaction," Int. J. Control, Vol. 83, No. 3, pp. 506-515 (2010).
14. Qin, J., H. Gao, and, W. Zheng, " Consensus strategy for a class of multi-agents with discrete second-order dynamics," Int. J. Robust. Nonlinear Control, (2011). DOI: 10.1002/rnc.1705.
15. Qin, J., W. Zheng, and, H. Gao, " Sampled-data consensus for multiple agents with discrete second-order dynamics," 49th IEEE Conf. Decis. Control, Atlanta, GA, USA, pp. 1391-1396 (2010).
16. Liu, H., G. Xie, and, L. Wang, " Necessary and sufficient conditions for solving consensus prob-lems of double-integrator dynamics via sampled control," Int. J. Robust Nonlinear Control, Vol. 20, No. 15, pp. 1706-1722 (2010).
17. Cao, Y., and, W. Ren, " Multi-vehicle coordina-tion for double-integrator dynamics under fixed undirected/directed interaction in a sampled-data setting," Int. J. Robust Nonlinear Control, Vol. 20, No. 9, pp. 987-1000 (2010).
18. Shen, H., S. Xu, X. Song, and, J. Luo, " Delaydependent robust stabilization for uncertain stochastic switching systems with distributed delays," Asian J. Control, Vol. 11, No. 5, pp. 527-535 (2009).
19. ∞ control for Markovian jump systems with mode-dependent time delays," Asian J. Control, Vol. 12, No. 6, pp. 704-713 (2010).
20. Matei, I., N. Martins, and, J. S. Baras, " Almost sure convergence to consensus in Markovian random graphs," Proc. 47th IEEE Conf. Decis. and Control, Cancun, Mexico, pp. 3535-3540 (2008).
21. Matei, I., N. Martins, and, J. S. Baras, " Consensus problems with directed Markovian communication patterns," Proc. Amer. Control Conf., St. Louis, Missouri, MO, U.S.A., pp. 1298-1303 (2009).
22. Zhang, Y., and, Y.-P. Tian, " Consentability and protocol design of multi-agent systems with stochastic switching topology," Automatica, Vol. 45, No. 5, pp. 1195-1201 (2009).
23. Franklin, G. F., J. D. Powell, and, M. Workman, Digital Control of Dynamic Systems, Addison-Wesley, Reading, MA, U.S.A. (2006).
24. Costa, O. L. V., M. D. Fragoso, and, R. P. Marques, Discrete-Time Markov Jump Linear Systems, Springer-Verlag, London, U.K. (2005).
25. Moreau, L., " Stability of multiagent systems with time-dependent communication links," IEEE Trans. Autom. Control, Vol. 50, No. 2, pp. 169-181 (2005).
26. Ren, W., and, R. W. Beard, " Distributed multi-vehicle coordinated control via local information exchange," Int. J. Robust Nonlinear Control, Vol. 17, No. 10-11, pp. 1002-1033 (2009). (Pubitemid 46988747)
27. Ghaoui, L. E., F. Oustry, and, M. AitRami, " A cone complementarity linearization algorithm for static output-feedback and related problems," IEEE Trans. Autom. Control, Vol. 42, No. 8, pp. 1171-1176 (1997). (Pubitemid 127760291)
28. Sun, M., J. Lam, S. Xu, and, Y. Zou, " Robust exponential stabilization for Markovian jump systems with mode-dependent input delay," Automatica, Vol. 43, No. 10, pp. 1799-1807 (2007). (Pubitemid 47374638)