Finite-time consensus problems for networks of dynamic agents

IEEE Transactions on Automatic Control

Volumn 55, Issue 4, 2010, Pages 950-955

  Wang, Long ^a   Xiao, Feng ^b  

^a PEKING UNIVERSITY   (China)

^b BEIJING INSTITUTE OF TECHNOLOGY   (China)

Author keywords

Distributed control; Finite time consensus; Multi agent systems; Time varying topologies

Indexed keywords

BI-DIRECTIONAL INTERACTION; CONSENSUS PROBLEMS; CONTINUOUS STATE; DISTRIBUTED CONTROL; DISTRIBUTED PROTOCOLS; DYNAMIC AGENTS; FINITE TIME STABILITY; TIME INTERVAL; TIME VARYING;

DISTRIBUTED PARAMETER CONTROL SYSTEMS; MULTI AGENT SYSTEMS; STATE FEEDBACK; TIME VARYING SYSTEMS; TOPOLOGY;

CONTINUOUS TIME SYSTEMS;

EID: 77950855889     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2010.2041610     Document Type: Article

References (14)

1. W. Ren, R. W. Beard, and E. M. Atkins, "Information consensus in multivehicle cooperative control," IEEE Control Syst. Mag., vol.27, no.2, pp. 71-82, Apr. 2007. (Pubitemid 46562979)
2. R. Olfati-Saber 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, Sep. 2004.
3. Y. Kim and M. Mesbahi, "On maximizing the second smallest eigenvalue of a state-dependent graph laplacian," IEEE Trans. Autom. Control, vol.51, no.1, pp. 116-120, Jan. 2006.
4. L. Xiao and S. Boyd, "Fast linear iterations for distributed averaging," Syst. Control Lett., vol.53, pp. 65-78, 2006.
5. R. Olfati-Saber, "Ultrafast consensus in small-world networks," in Proc. American Control Conf., Jun. 2005, pp. 2371-2378.
6. S. P. Bhat and D. S. Bernstein, "Finite-time stability of continuos autonomous systems," SIAM J. Control and Optimiz., vol.38, no.3, pp. 751-766, 2000.
7. S. Sundaram and C. N. Hadjicostis, "Finite-time distributed consensus in graphs with time-invariant topologies," in Proc. American Control Conf., Jul. 2007, pp. 711-716.
8. J. Cortés, "Finite-time convergent gradient flows with applications to network consensus," Automatica, vol.42, no.11, pp. 1993-2000, 2006.
9. V. T. Haimo, "Finite time controllers," SIAM J. Control and Optimiz., vol.24, no.4, pp. 760-770, 1986.
10. W. Ren 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, May 2005.
11. P. Hartman, Ordinary Differential Equations, 2nd ed. Basel, Switzerland: Birkhäuser, 1982.
12. T. Chu, L. Wang, T. Chen, and S. Mu, "Complex emergent dynamics of anisotropic swarms: Convergence vs oscillation," Chaos, Solitons & Fractals, vol.30, no.4, pp. 875-885, 2006.
13. F. Xiao, "Consensus Problems in Networks of Multiple Autonomous Agents," Ph.D. thesis, Peking Univ., Beijing, China, 2008.
14. F. Xiao and L. Wang, "Reaching agreement in finite time via continuous local state feedback," in Proc. 26th Chinese Control Conf., Jul. 2007, pp. 711-715.