Synchronization in networks of linear agents with output feedbacks

Automation and Remote Control

Volumn 72, Issue 8, 2011, Pages 1615-1626

  Dzhunusov, I A ^a   Fradkov, A L ^b  

^a ST PETERSBURG STATE UNIVERSITY   (Russian Federation)

^b INSTITUTE OF PROBLEMS OF MECHANICAL ENGINEERING   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

LINEAR NETWORKS; SYNCHRONIZATION; TOPOLOGY; TREES (MATHEMATICS);

ASYMPTOTIC SYNCHRONIZATION; FIXED TOPOLOGIES; IN NETWORKS; INFORMATION TRANSMISSION; OUTPUT FEEDBACK; PASSIFICATION; PASSIFICATION THEOREM; SPANNING TREE;

FEEDBACK;

EID: 80052568953     PISSN: 00051179     EISSN: None     Source Type: Journal    
DOI: 10.1134/S0005117911080029     Document Type: Article

References (32)

1. R. Olfati-Saber J.A. Fax R.M. Murray 2007 Consensus and Cooperation in Networked Multi-agent Systems Proc. IEEE 95 215 233 10.1109/JPROC.2006.887293
2. W. Ren R.W. Beard E.M. Atkins 2007 Information Consensus in Multivehicle Cooperative Control IEEE Control Syst. Mag. 27 71 82 10.1109/MCS.2007.338264 (Pubitemid 46562979)
3. Wu, C.W., Synchronization in Complex Networks of Nonlinear Dynamical Systems, Singapore: World Scientific, 2007.
4. Ren, W. and Beard, R.W., Distributed Consensus in Multi-vehicle Cooperative Control. Theory and Applications, London: Springer, 2008.
5. Bullo, F., Cortez, J., and Martinez, S., Distributed Control of Robotic Networks, Princeton: Princeton Univ. Press, 2009.
6. IEEE Trans. Autom. Control, Special Issue on Networked Control Systems, September 2004.
7. IEEE Control Syst. Mag., Special Section "Complex Networked Control Systems," August 2007.
8. Proc. IEEE, Special Issue on Networked Control Systems Technology, January 2007.
9. Proc. 1st IFAC Workshop on Estimation and Control of Networked Systems, September 24-26, 2009, Venice, http://www.ifac-papersonline.net/.
10. Proc. 2nd IFAC Workshop on Estimation and Control of Networked Systems, September 13-14, 2010, Grenoble, http://www.ifac-papersonline.net/.
11. Chebotarev, P.Yu. and Agaev, R.P., Coordination in Multiagent Systems and Laplacian Spectra of Digraphs, Autom. Remote Control, 2009, no. 3, pp. 469-483.
12. Z. Li Z. Duan G. Chen L. Huang 2010 Consensus of Multiagent Systems and Synchronization of Complex Networks: A Unified Viewpoint IEEE Trans. Circuit. Syst. I 57 1 213 224 2729823 10.1109/TCSI.2009.2023937
13. Mohar, B., Some Applications of Laplace Eigenvalues of Graphs: Graph Symmetry: Algebraic Methods and Applications, NATO ASI Ser. C 497, 1997, pp. 225-275.
14. Agaev, R.P. and Chebotarev, P.Yu., Laplace Spectra of Orgraphs and Their Applications, Autom. Remote Control, 2005, no. 5, pp. 719-733. (Pubitemid 40683647)
15. A. Jadbabaie J. Lin A.S. Morse 2003 Coordination of Groups of Mobile Autonomous Agents Using Nearest Neighbor Rule IEEE Trans. Autom. Control 48 6 988 1001 1986266 10.1109/TAC.2003.812781
16. W. Ren R.W. Beard 2005 Consensus Seeking in Multiagent Systems Under Dynamically Changing Interaction Topologies IEEE Trans. Autom. Control 50 655 661 2141568 10.1109/TAC.2005.846556 (Pubitemid 40784437)
17. W. Yu G. Chen M. Cao 2010 Some Necessary and Sufficient Conditions for Second-Order Consensus in Multiagent Dynamical Systems Automatica 46 6 1089 1095 1192.93019 10.1016/j.automatica.2010.03.006
18. J.R. Fax R.M. Murray 2004 Information Flow and Cooperative Control of Vehicle Formations IEEE Trans. Autom. Control 49 1465 1476 2086912 10.1109/TAC.2004.834433
19. Yoshioka, C. and Namerikawa, T., Observer-Based Consensus Control Strategy for Multiagent System with Communication Time Delay, Proc. IEEE MSC-2008, San-Antonio, 2008, pp. 1037-1042.
20. R. Olfati-Saber R.M. Murray 2004 Consensus Problems in Networks of Agents with Switching Topology and Time-delays IEEE Trans. Autom. Control 49 9 1520 1533 2086916 10.1109/TAC.2004.834113
21. Agaev, R.P. and Chebotarev, P.Yu., The Matrix of Maximum Out Forests of a Digraph and Its Applications, Autom. Remote Control, 2000, no. 9, pp. 1424-1450.
22. Agaev, R.P. and Chebotarev, P.Yu., Spanning Forests of a Digraph and Their Applications, Autom. Remote Control, 2001, no. 3, pp. 443-466.
23. Fradkov, A.L., Quadratic Lyapunov Functions in the Problem of Adaptive Stabilization of a Linear Dynamic Object, Sib. Mat. Zh., 1976, no. 2, pp. 436-446.
24. Fradkov, A.L., Passification of Nonsquare Linear Systems and Feedback Yakubovich-Kalman-Popov Lemma, Eur. J. Control, 2003, no. 6, pp. 573-582.
25. J.C. Willems 1972 Dissipative Dynamical Systems. Part I: General Theory; Part II: Linear Systems with Quadratic Supply Rates Arch. Rationale Mech. Anal. 45 321 393 527462 0252.93002 10.1007/BF00276493
26. Polyshin, I.G., Fradkov, A.L., and Hill, D.J., Passivity and Passification of Nonlinear Systems, Autom. Remote Control, 2000, no. 3, pp. 355-388.
27. V.A. Yakubovich A.L. Fradkov D.J. Hill A.V. Proskurnikov 2007 Dissipativity of T-Periodic Linear Systems IEEE Trans. Autom. Control 52 6 1039 1047 2329894 10.1109/TAC.2007.899013 (Pubitemid 47034030)
28. Andrievskii, B.R. and Fradkov, A.L., Method of Passification in Adaptive Control, Estimation, and Synchronization, Autom. Remote Control, 2006, no. 11, pp. 1699-1731. (Pubitemid 44836906)
29. Fradkov, A.L., Kiberneticheskaya fizika: printsipy i primery (Cybernetic Physics: Principle and Examples), St. Petersburg: Nauka, 2003.
30. L. Scardovi R. Sepulchre 2009 Synchronization in Networks of Identical Linear Systems Automatica 45 11 2557 2562 1183.93054 10.1016/j.automatica.2009. 07.006
31. Bellman, R., Introduction to Matrix Analysis, New York: McGraw-Hill, 1960. Translated under the title Vvedenie v teoriyu matrits, Moscow: Nauka, 1969.
32. Marcus, M. and Minc, H., A Servey of Matrix Theory and Matrix Inequalities, Boston: Allyn and Bacon, 1964. Translated under the title Obzor po teorii matrits i matrichnykh neravenstv, Moscow: Nauka, 1972.