Distributed robust synchronization of dynamical networks with stochastic coupling

IEEE Transactions on Circuits and Systems I: Regular Papers

Volumn 61, Issue 5, 2014, Pages 1508-1519

  Tang, Yang ^a,b   Gao, Huijun ^c,d   Kurths, Jurgen ^a,e  

^a HUMBOLDT UNIVERSITY   (Germany)

^b POTSDAM INSTITUTE FOR CLIMATE IMPACT RESEARCH   (Germany)

^c HARBIN INSTITUTE OF TECHNOLOGY   (China)

^d KING ABDULAZIZ UNIVERSITY   (Saudi Arabia)

^e UNIVERSITY OF ABERDEEN   (United Kingdom)

Author keywords

Complex dynamical networks; evolutionary algorithms; stochastic coupling; synchronization consensus

Indexed keywords

COMPLEX NETWORKS; CONSTRAINED OPTIMIZATION; CONVEX OPTIMIZATION; LYAPUNOV FUNCTIONS; STOCHASTIC SYSTEMS; SYNCHRONIZATION;

COMPLEX DYNAMICAL NETWORKS; CONSTRAINT OPTIMIZATIONS; CONVEX OPTIMIZATION METHODS; DISTRIBUTED SYNCHRONIZATION; LYAPUNOV FUNCTION METHOD; PINNING SYNCHRONIZATIONS; STOCHASTIC COUPLING; SYNCHRONIZATION PERFORMANCE;

EVOLUTIONARY ALGORITHMS;

EID: 84900008901     PISSN: 15498328     EISSN: None     Source Type: Journal    
DOI: 10.1109/TCSI.2013.2285699     Document Type: Article

References (40)

1. Y. Zhang and Q. Han, Network-based synchronization of delayed neural networks, IEEE Trans. Circuits Syst. I, Reg. Papers, vol. 60, no. 3, pp. 676689, Mar. 2013.
2. A. Barabási and R. Albert, Emergence of scaling in random networks, Science, vol. 286, pp. 509512, Oct. 1999.
3. X. Lu, R. Lu, S. Chen, and J. L, Finite-time distributed tracking control formulti-agent systems with a virtual leader, IEEE Trans. Circuits Syst. I, Reg. Papers, vol. 60, no. 2, pp. 352362, Feb. 2013.
4. Y. Liu and J. Zhao, Generalized output synchronization of dynamical networks using output quasi-passivity, IEEE Trans. Circuits Syst. I, Reg. Papers, vol. 59, no. 6, pp. 12901298, Jun. 2012.
5. X. Yang, J. Cao, and J. Lu, Synchronization of randomly coupled neural networks with Markovian jumping and time-delay, IEEE Trans. Circuits Syst. I, Reg. Papers, vol. 60, no. 2, pp. 363376, Feb. 2013.
6. W. K.Wong, W. Zhang, Y. Tang, and X.Wu, Stochastic synchronization of complex networks with mixed impulses, IEEE Trans. Circuits and Systems I: Reg. Papers, vol. 60, no. 10, pp. 26572667, Oct. 2013.
7. Q. Song and J. Cao, On pinning synchronization of directed and undirected complex dynamical networks, IEEE Trans. Circuits Syst. I: Reg. Papers, vol. 57, no. 3, pp. 672680, Mar. 2010.
8. A. Pikovsky, M. Rosenblum, and J. Kurths, Synchronization: A Universal Concept in Nonlinear Sciences. Cambridge, U.K.: Cambridge Univ. Press, 2001.
9. Y.Wang, H.Wang, J. Xiao, and Z. Guan, Synchronization of complex dynamical networks under recoverable attacks, Automatica, vol. 46, no. 1, pp. 197203, Jan. 2010.
10. Y. Tang, H. Gao, W. Zou, and J. Kurths, Distributed synchronization in networks of agent systems with nonlinearities and random switchings, IEEE Trans. Cybern., vol. 43, no. 1, pp. 358370, Feb. 2013.
11. Y.Wang, J. Xiao, and H. Wang, Global synchronization of complex dynamical networks with network failures, Int. J. Robust Nonlinear Control, vol. 20, no. 15, pp. 16671677, Oct. 2010.
12. W. Zhang, Y. Tang, Q. Miao, and W. Du, Exponential synchronization of coupled switched neural networks with mode-dependent impulsive effects, IEEE Trans. Neural Netw. Learning Syst., vol. 24, no. 8, pp. 13161326, Aug. 2013.
13. Y. Wang, J. Xiao, C. Wen, and Z. Guan, Synchronization of continuous dynamical networks with discrete-time communications, IEEE Trans. Neural Netw., vol. 22, no. 12, pp. 19791986, Dec. 2011.
14. R. Saber, J. Fax, and R. Murray, Consensus and cooperation in networked multi-agent systems, Proc. IEEE, vol. 95, no. 1, pp. 215233, Jan. 2007.
15. Y. Tang, H. Gao, and J. Kurths, Multiobjective identification of controlling areas in neuronal networks, IEEE/ACM Trans. Comput. Biol. Bioinf., vol. 10, no. 3, pp. 708720, May-Jun. 2013.
16. J. Zhou, Q. Wu, and L. Xiang, Pinning complex delayed dynamical networks by a single impulsive controller, IEEE Trans. Circuits Syst. I, Reg. Papers, vol. 58, no. 12, pp. 28822893, Dec. 2011.
17. Y. Tang, H. Gao, W. Zou, and J. Kurths, Pinning noise-induced stochastic resonance, Phys. Rev. E, vol. 87, no. 6, p. 062920, Jun. 2013.
18. M. de agistris, M. di Bernardo, D. E. Tucci, and S. Manfredi, Synchronization of networks of non-identical chuas circuits: Analysis and experiments, IEEE Trans. Circuits Syst. I: Reg. Papers, vol. 59, no. 5, pp. 10291041, May 2012.
19. Y. Tang, H. Gao, J. Lu, and J. Kurths, Pinning distributed synchronization of stochastic dynamical networks: A mixed optimization approach, , submitted for publication.
20. Y. Liu J. Slotine, and A. Barabási, Controllability of complex networks, Nature, vol. 473, no. 7346, pp. 167173, May 2011.
21. X. Wang, X. Li, and J. Lü, "Control and flocking of networking systems via pinning," IEEE Circuits Syst. Mag., vol. 10, no. 3, pp. 8391, 2010.
22. W. Lu, Adaptive dynamical networks via neighborhood information: Synchronization and pinning control, Chaos, vol. 17, no. 2, p. 023122, Jun. 2007.
23. W. Yu, G. Chen, and J. L, On pinning synchronization of complex dynamical networks, Automatica, vol. 45, no. 2, pp. 429435, Feb. 2009.
24. Y. Tang and W. K. Wong, Distributed synchronization of coupled neural networks via randomly occurring control, IEEE Trans. Neural Netw. Learning Syst., vol. 24, no. 3, pp. 435447, Mar. 2013.
25. J. Liang, Z.Wang, Y. Liu, and X. Liu, Global synchronization control of general delayed discrete-time networks with stochastic coupling and disturbances, IEEE Trans. Syst., Man, Cybern. Part B: Cybern., vol. 38, no. 4, pp. 10731083, Aug. 2008.
26. J. Liang, Z. Wang, X. Liu, and P. Louvieris, Robust synchronization for 2-D discrete-time coupled dynamical networks, IEEE Trans. Neural Netw. Learning Syst., vol. 23, no. 6, pp. 942953, Jun. 2012.
27. Y. Tang, H. Gao, J. Kurths, and J. Fang, Evolutionary pinning control and its application in UAV coordination, IEEE Trans. Indust. Inf., vol. 8, no. 4, pp. 828838, Nov. 2012.
28. Y. Tang, Z. Wang, H. Gao, S. Swift, and J. Kurths, A constrained evolutionary computation method for detecting controlling regions of cortical networks, IEEE/ACM Trans. Comput. Biol. Bioinf., vol. 9, no. 6, pp. 15691581, Nov.Dec. 2012.
29. Z. Jiang and L. Praly, Design of robust adaptive controllers for nonlinear systems with dynamic uncertainties, Automatica, vol. 34, no. 7, pp. 825840, Jul. 1998.
30. R. Horn and C. Johnson, Matrix Analysis. Cambridge, U.K.: Cambridge Univ. Press, 1990.
31. H. Karimi and H. Gao, New delay-dependent exponential synchronization for uncertain neural networks with mixed time delays, IEEE Trans. Syst., Man, Cybern., Part B: Cybern., vol. 40, no. 1, pp. 173185, Feb. 2010.
32. Z. Wang, Y. Wang, and Y. Liu, Global synchronization for discretetime stochastic complex networks with randomly occurred nonlinearities and mixed time-delays, IEEE Trans. Neural Netw., vol. 21, no. 1, pp. 1125, Jan. 2010.
33. J. Lu, J. Kurths, J. Cao, N. Mahdavi, and C. Huang, Synchronization control for nonlinear stochastic dynamical networks: Pinning impulsive strategy, IEEE Trans. Neural Netw. Learning Syst., vol. 23, no. 2, pp. 285292, Feb. 2012.
34. X. Zhao, The Laplacian Eigenvalues of Graphs: A Survey arXiv:1111. 2897, 2011.
35. J. Löfberg, Yalmip: A toolbox for modeling and optimization in Matlab, in Proc. CACSD Conf., Taipei, Taiwan, 2004, pp. 284289.
36. F. Zou and J. Nossek, Bifurcation and chaos in cellular neural networks, IEEE Trans. Circuits Syst., I: Fundam. Theory Appl., vol. 40, no. 3, pp. 166173, Mar. 1993.
37. W. Lu and T. Chen, New approach to synchronization analysis of linearly coupled ordinary differential systems, Physica D, vol. 213, no. 2, pp. 214230, Jan. 2006.
38. K. Zhou, J. Doyle, and K. Glover, Robust and Optimal Control. Englewood Cliffs, NJ, USA: Prentice-Hall, 1996.
39. X. Mao, Stochastic Differential Equations and Applications, 1st ed. Chichester, U.K.: Horwood, 1997.
40. L. E. Ghaoui, State-feedback control of systems with multiplicative noise via linear matrix inequalities, Syst. Control Lett., vol. 24, no. 3, pp. 223228, Feb. 1995.