Distributed finite-time χ-consensus algorithms for multi-agent systems with variable coupling topology

Journal of Systems Science and Complexity

Volumn 23, Issue 2, 2010, Pages 209-218

  Wang, Xiaoli ^a   Hong, Yiguang ^a  

^a INSTITUTE OF GEOLOGY AND GEOPHYSICS   (China)

Author keywords

consensus; Distributed control; Multi agent networks; Non smoothness; Switching graphs

Indexed keywords

CONSENSUS ALGORITHMS; CONSENSUS PROBLEMS; DISTRIBUTED CONTROL; FIRST-ORDER; MULTI-AGENT; MULTIAGENT NETWORKS; NON-SMOOTH; NON-SMOOTHNESS; NUMERICAL EXAMPLE; SWITCHING INTERACTION TOPOLOGIES; TIME INVARIANTS; VARIABLE COUPLING;

AEROSPACE VEHICLES; DISTRIBUTED PARAMETER CONTROL SYSTEMS; LYAPUNOV FUNCTIONS; TOPOLOGY;

MULTI AGENT SYSTEMS;

EID: 77952400594     PISSN: 10096124     EISSN: 15597067     Source Type: Journal    
DOI: 10.1007/s11424-010-7254-2     Document Type: Article

References (18)

1. Y. Hong, J. Hu, and L. Gao, Tracking control for multi-agent consensus with an active leader and variable topology, Automatica, 2006, 42(7): 1177-1182.
2. J. Hu and X. Hu, Optimal target trajectory estimation and filtering using networked sensors systems, Journal of Systems Science & Complexity, 2008, 21(4): 325-334.
3. C. W. Reynolds, Flocks, herds, and schools: A distributed behavioral model, Computer Graphics, ACM Siggraph'87 Conference Proceedings, 1987, 21(4): 25-34.
4. G. Tang and L. Guo, Convergence of a class of multi-agent systems in probabilistic framework, Journal of Systems Science & Complexity, 2007, 20(2): 173-197.
5. T. Vicsek, A. Czirok, E. Ben-Jacob, O. Cohen, and I. Shochet, Novel type of phase transition in a system of self-deriven particles, Physical Review Letters, 1995, 75(6): 1226-1229.
6. R. Olfati-Saber and R. M. Murray, Consensus problems in networks of agents with switching topology and time-delays, IEEE Trans. Automatic Control, 2004, 49(9): 1520-1533.
7. W. Ren and R. Beard, Consensus seeking in multi-agent systems using dynamically changing interaction topologies, IEEE Trans. Automatic Control, 2005, 50(5): 665-671.
8. F. Xiao and L. Wang, Reaching agreement in finite time via continuous local state feedback, Proc. of Chinese Control Conference, Zhangjiajie, 2007, 711-715.
9. R. Olfati-Saber, E. Franco, E. Frazzoli, and J. S. Shamma, Belief consensus and distributed hypothesis testing in sensor networks, in Network Embedded Sensing and Control (ed. by P. Antsaklis and P. Tabuada), Springer-Verlag, New York, 2006, 169-182.
10. J. Cortés, Analysis and design of distributed algorithms for χ-consensus, Proc. of IEEE Conference on Decision & Control, San Diego, USA, 2006, 3363-3368.
11. S. Bhat and D. Bernstein, Finite-time stability of continuous autonomous systems, SIAM J. Control and Optimization, 2000, 38(3): 751-766.
12. Y. Hong, Finite-time stabilization and stability of a class of controllable systems, Systems & Control Letters, 2002, 46(2): 231-236.
13. Y. Hong and Z. P. Jiang, Finite-time stabilization of nonlinear systems with parametric and dynamic uncertainties, IEEE Trans. Automatic Control, 2006, 51(12): 1950-1956.
14. X. Wang and Y. Hong, Finite-time consensus for multi-agent networks with second-order agent dynamics, IFAC World Congress, Korea, 2008, 15185-15190.
15. C. Godsil and G. Royle, Algebraic Graph Theory, Springer-Verlag, New York, 2001.
16. N. Rouche, P. Habets, and M. Laloy, Stability Theory by Liapunov's Direct Method, Springer-Verlag, New York, 1977.
17. A. Filippov, Differential Equations with Discontinuous Right Hand Side, Kluwer, Dordrecht, 1988.
18. N. A. Lynch, Distributed Algorithms, Morgan Kaufmann, San Mateo, 1997. 219-231.