Consensus for multi-agent systems - Synchronization and regulation for complex networks

Proceedings of the American Control Conference

Volumn , Issue , 2011, Pages 5312-5317

  Yang, Tao ^a   Stoorvogel, Anton A ^b   Saberi, Ali ^a  

^a Washington State University   (United States)

^b UNIVERSITY OF TWENTE   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

COMPLEX NETWORKS; CONSENSUS PROBLEMS; LAPLACIANS; LINEAR TIME-INVARIANT; MULTI INPUT AND MULTI OUTPUTS; NETWORK TOPOLOGY; THREE PROBLEMS; TIME INVARIANTS;

ELECTRIC NETWORK TOPOLOGY; INTELLIGENT AGENTS; LINEAR CONTROL SYSTEMS; MULTI AGENT SYSTEMS; TOPOLOGY;

PROBLEM SOLVING;

EID: 80053135833     PISSN: 07431619     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (25)

1. V.D. BLONDEL, J.M. HENDRICKX, A. OLSHEVSKY, AND J.N. TSITSIKLIS, "Convergence in multiagent coordination, consensus, and flocking", in Proc. Joint 44th CDC and ECC, Sevilla, Spain, 2005, pp. 2996-3000.
2. M.E. FISHER AND A.T. FULLER, "On the stabilization of matrices and the convergence of linear iterative processes", Proceedings of the Cambridge Philosophical Society, 54, 1958, pp. 417-425.
3. D. HERSHKOWITZ, "Recent Directions in Matrix Stability", Linear Algebra and its Application, 171, 1 July 1992, pp. 161-186.
4. Z. LI, Z. DUAN, G. CHEN, AND L. HUANG, "Consensus of multiagent systems and synchronization of complex networks: A unified viewpoint", IEEE Trans. Circ. & Syst.-I Regular papers, 57(1), 2010, pp. 213-224.
5. N.A. LYNCH, Distributed algorithms, Morgan Kaufmann, San Mateo, CA, 1996.
6. R. OLFATI-SABER, J.A. FAX, AND R.M. MURRAY, "Consensus and cooperation in networked multi-agent systems", Proc. of the IEEE, 95(1), 2007, pp. 215-233.
7. R. OLFATI-SABER AND R.M. MURRAY, "Agreement problems in networks with direct graphs and switching topology", in Proc. 42nd CDC, Maui, Hawaii, 2003, pp. 4126-4132.
8. R. OLFATI-SABER AND R.M. MURRAY, "Consensus problems in networks of agents with switching topology and time-delays", IEEE Trans. Aut. Contr., 49(9), 2004, pp. 1520-1533.
9. A.Y. POGROMSKY AND H. NIJMEIJER, "Cooperative oscillatory behavior of mutually coupled dynamical systems", IEEE Trans. Circ. & Syst.-I Fundamental theory and applications, 48(2), 2001, pp. 152-162.
10. A.Y. POGROMSKY, G. SANTOBONI, AND H. NIJMEIJER, "Partial synchronization: from symmetry towards stability", Physica D, 172(1-4), 2002, pp. 65-87.
11. W. REN, "On consensus algorithms for double-integrator dynamics", IEEE Trans. Aut. Contr., 53(6), 2008, pp. 1503-1509.
12. W. REN AND E. ATKINS, "Distributed multi-vehicle coordinate control via local information", Int. J. Robust & Nonlinear Control, 17(10-11), 2007, pp. 1002-1033.
13. W. REN, R. BEARD, AND E. ATKINS, "Information consensus in multivehicle cooperative control", IEEE Control Systems Magazine, 27(2), 2007, pp. 71-82.
14. W. REN, K. L. MOORE, AND Y. CHEN, "High-order and model reference consensus algorithms in cooperative control of multi-vehicle systems", Journal of Dynamic Systems, Measurement, and Control, 129(5), 2007, pp. 678-688.
15. S. ROY, J. MINTEER, AND A. SABERI, "Some new results on stabilization by scaling", in American Control Conference, Minneapolis, MN, 2006, pp. 5077-5082.
16. S. ROY, A. SABERI, AND K. HERLUGSON, "Formation and alignment of distributed sensing agents with double-integrator dynamics", in Sensor Network Operations, S. Phoha, T.F. La Porta, and C. Griffin, eds., Wiley-IEEE Press, 2006.
17. S. ROY, A. SABERI, AND K. HERLUGSON, "A control-theoretic perspective on the design of distributed agreement protocols", Int. J. Robust & Nonlinear Control, 17(10-11), 2007, pp. 1034-1066.
18. A. SABERI, A.A. STOORVOGEL, AND P. SANNUTI, Control of linear systems with regulation and input constraints, Communication and Control Engineering Series, Springer Verlag, Berlin, 2000.
19. J.N. TSITSIKLIS, Problems in decentralized decision making and computation, PhD thesis, MIT, Cambridge, MA, 1984.
20. S.E. TUNA, "LQR-based coupling gain for synchronization of linear systems", Available: arXiv:0801.3390v1, 2008.
21. S.E. TUNA, "Synchronizing linear systems via partial-state coupling", Automatica, 44(8), 2008, pp. 2179-2184.
22. S.E. TUNA, "Conditions for synchronizability in arrays of coupled linear systems", IEEE Trans. Aut. Contr., 55(10), 2009, pp. 2416-2420.
23. C.W. WU AND L.O. CHUA, "Application of graph theory to the synchronization in an array of coupled nonlinear oscillators", IEEE Trans. Circ. & Syst.-I Fundamental theory and applications, 42(8), 1995, pp. 494-497.
24. C.W. WU AND L.O. CHUA, "Application of Kronecker products to the analysis of systems with uniform linear coupling", IEEE Trans. Circ. & Syst.-I Fundamental theory and applications, 42(10), 1995, pp. 775-778.
25. T. YANG, S. ROY, Y. WAN, AND A. SABERI, "Constructing consensus controllers for networks with identical general linear agents", Int. J. Robust & Nonlinear Control, 21(published online), 2011.