Consensus seeking in multi-agent systems with multiplicative measurement noises

Systems and Control Letters

Volumn 62, Issue 5, 2013, Pages 430-437

  Ni, Yuan Hua ^a   Li, Xun ^b  

^a TIANJIN POLYTECHNIC UNIVERSITY   (China)

^b HONG KONG POLYTECHNIC UNIVERSITY   (Hong Kong)

Author keywords

Multi agent system Consensus problem Multiplicative noise Singular stochastic differential equation

Indexed keywords

CONSENSUS PROBLEMS; DISTRIBUTED PROTOCOLS; INTEGRATOR SYSTEMS; MEAN SQUARE CONVERGENCES; MULTI AGENT SYSTEM (MAS); NOISY MEASUREMENTS; STOCHASTIC DIFFERENTIAL EQUATIONS; THEORETICAL RESULT;

DIFFERENTIAL EQUATIONS; ELECTRIC NETWORK TOPOLOGY; MULTI AGENT SYSTEMS;

SPURIOUS SIGNAL NOISE;

EID: 84875532031     PISSN: 01676911     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.sysconle.2013.01.011     Document Type: Article

References (38)

1. J.N. Tsitsiklis, and M. Athans Convergence and asymptotic agreement in distributed decision problems IEEE Transactions Automatic Control 29 1 1984 42 50 (Pubitemid 14529258)
2. T. Vicsek, A. Czirok, E.B. Jacob, I. Cohen, and O. Schochet Novel type of phase transitions in a system of self-driven particles Physical Review Letters 75 6 1995 1226 1229
3. A. Jadbabaie, J. Lin, and S.M. Morse Coordination of groups of mobile autonomous agents using nearest neighbor rules IEEE Transactions on Automatic Control 48 6 2003 988 1001
4. F. Cucker, and S. Smale Emergent behavior in flocks IEEE Transaction on Automatic Control 52 5 2007 852 862 (Pubitemid 46796070)
5. T.C. Aysal, M.J. Coates, M.G. Rabbat, Distributed average consensus using probabilistic quantization. IEEE Statistical Signal Processing Workshop. Madison, Wisconsin, 2007, August, 640-644.
6. L. Moreau, Stability of continuous-time distributed consensus algorithms, in: 43rd IEEE Conf. Decision and Control, Maui, HI, 2004, December, 14-17, Atlantis, Paradise Island, Bahamas.
7. W. Ni, and D. Cheng Leader-following consensus of multi-agent systems under fixed and switching topologies System & Control Letters 59 2 2010 09 217
8. R. Olfati-Saber, and R.M. Murray Consensus problems in networks of agents with switching topology and time-delays IEEE Transactions on Automatic Control 49 9 2004 1520 1533
9. W. Ren, R.W. Beard, D.B. Kingston, Multi-agent Kalman consensus with relative uncertainty, in: Proc. American Control Conf, Portland, OR, 2005, June, 1865-1870.
10. W. Ren, and R.W. Beard Consensus seeking in multiagent systems under dynamically changing interaction topologies IEEE Transactions on Automatic control 50 5 2005 655 661 (Pubitemid 40784437)
11. F. Xiao, and L. Wang Asynchronous consensus in continuous-time multi-agent systems with switching topology and time-varying delays IEEE Transactions on Automatic control 53 8 2008 1804 1816
12. R. Olfati-Saber, J.A. Fax, and R.M. Murray Consensus and cooperation in networked multi-agent systems Proceedings of the IEEE 95 1 2007 215 233
13. W. Ren, R.W. Beard, E.M. Atkins, A survey of consensus problems in multi-agent coordination, in: Proc. American Control Conference, Portland, OR, 2005, June, 1859-1864.
14. T. Vicsek, A. Zafiris, Collective motion, arXiv:1010.5017, 2010. http://arxiv.org/abs/1010.5017.
15. M. Huang, and J.H. Manton Coordination and consensus of networked agents with noise measurements: stochastic algorithms and asymptotic behavior SIAM Journal of Control and Optimization 48 1 2009 134 161
16. M. Huang, and J.H. Manton Stochastic consensus seeking with noisy and directed inter-agent communication: fixed and randomly varying topologies IEEE Transactions on Automatic Control 55 1 2010 235-241
17. M. Huang, G.N. Dey Nair, and J.N. Manton Stochastic consensus over noisy networks with Markovian and arbitrary switches Automatica 46 10 2010 1571 1583
18. T. Li, and J.F. Zhang Mean square average-consensus under measurement noises and fixed topologies: necessary and sufficient conditions Automatica 45 8 2009 1929 1936
19. T. Li, and J.F. Zhang Consensus conditions of multi-agent systems with time-varying topologies and stochastic communication noises IEEE Transactions on Automatic Control 55 9 2010 2043 2057
20. C.Q. Ma, T. Li, and J.F. Zhang Consensus control for leader-following multi-agent systems with measurement noises Journal of Systems Science and Complexity 23 1 2010 35 49
21. J.A. Carrillo, M. Fornasier, J. Rosado, and G. Toscani Asymptotic flocking dynamics for the kinetic Cucker-Smale model SIAM Journal on Mathematical Analysis 42 1 2010 218 236
22. F. Cucker, and J.G. Dong Avoiding collisions in flocks IEEE Transaction on Automatic Control 55 5 2010 1238 1243
23. S.Y. Ha, K. Lee, and D. Levy Emergence of time-asymptotic flocking in a stochastic Cucker-Smale system Communications in Mathematical Sciences 7 2009 453 469
24. A. Dogandzic, and A. Nehorai Space-time fading channel estimation and symbol detection in unknown spatially correlated noise IEEE Transactions on Signal Processing 50 3 2002 457 474 (Pubitemid 34295089)
25. J.R. Jerry, and C.G. Somshwar A discrete receiver structure for bit detection without synchronization for signals corrupted by additive and multiplicative noise IEEE Transaction on Communications 22 10 1974 1702 1705
26. Y. Rong, Y. Hua, A. Swami, and A.L. Swindlehurst Space-time power schedule for distributed MIMO links without instantaneous channel state information at the transmitting nodes IEEE Transactions on Signal Processing 56 2 2008 686 701 (Pubitemid 351285064)
27. Z. Wang, and S.S. Abeysekera Performance of correlation-based frequency estimation methods in the presence of multiplicative noise IEEE Transactions on Vehicular Technology 55 4 2006 1281 1290 (Pubitemid 44111423)
28. M. Ait Rami, and X.Y. Zhou Linear matrix inequalities, Riccati equations, and indefinite stochastic linear quadratic control IEEE Transactions on Automatic Control 45 6 2000 1131 1142
29. T. Damm Rational matrix equations in stochastic control Lecture Notes in Control and Information Sciences vol. 297 2004 Springer Berlin-Heidelberg
30. W.H. Zhang, H.S. Zhang, and B.S. Chen Generalized Lyapunov equation approach to state-dependent stochastic stabilization/detectability criterion IEEE Transactions on Automatic Control 53 7 2008 1630 1642
31. W.H. Zhang, and B.S. Chen On stabilizability and exact observability of stochastic systems with their applications Automatica 40 1 2006 87 94
32. R.S. Liptser, and A.N. Shiryaev Statistics of Random Processes I 1977 Springer New York
33. A.N. Kolmogorov, and S.V. Fomin Elements of the Theory of Functions and Functional Analysis 1957 Graylock Press Kochester, N.Y
34. D.H Xia, Z.R Wu, S.Z Yan, and W.C. Shu Real Functions and Functional Analysis 1981 Higher Education Press (in Chinese)
35. R.S. Liptser, and A.N. Shiryaev Theory of Martingales 1989 Kluwer Academic Dordrecht, The Netherlands
36. W.W. Yu, G.R. Chen, and M. Cao Consensus in directed network of agents with nonlinear dynamics IEEE Transactions on Automatic Control 56 6 2011 1436 1441
37. A. Tahbaz-Salehi, A. Jadbabaie, On consensus in random networks, in: Proceedings of the 44th Annual Allerton Conference on Communication, Control and Computing, Monticello, IL, 2006, 1315C1321.
38. I.D. Schizas, A. Ribeiro, and G.B. Giannakis Consensus in ad hoc WSNs with noisy links-part I: distributed estimation of deterministic signals IEEE Transactions on Signal Processing 56 1 2008 350 364