Distributed synchronization in networks of agent systems with nonlinearities and random switchings

IEEE Transactions on Cybernetics

Volumn 43, Issue 1, 2013, Pages 358-370

  Tang, Yang ^a,b,c   Gao, Huijun ^a   Zou, Wei ^b,c,d   Kurths, Jürgen ^b,c,e  

^a HARBIN INSTITUTE OF TECHNOLOGY   (China)

^b HUMBOLDT UNIVERSITY   (Germany)

^c POTSDAM INSTITUTE FOR CLIMATE IMPACT RESEARCH   (Germany)

^d HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

^e UNIVERSITY OF ABERDEEN   (United Kingdom)

Author keywords

Bernoulli stochastic variables; Complex dynamical networks; Distributed synchronization; Multi agent systems; Multiple random nonlinearities; Multiple random updating laws

Indexed keywords

ADAPTIVE CONTROLLERS; COMPLEX DYNAMICAL NETWORKS; DISTRIBUTED ADAPTIVE CONTROLLERS; DISTRIBUTED SYNCHRONIZATION; MATHEMATICAL ANALYSIS; MULTIPLE RANDOM UPDATING LAWS; OCCURRENCE PROBABILITY; STOCHASTIC VARIABLE;

COMPLEX NETWORKS; CONTROL NONLINEARITIES; CONTROLLERS; LYAPUNOV FUNCTIONS; MULTI AGENT SYSTEMS; STOCHASTIC SYSTEMS; SYNCHRONIZATION;

ADAPTIVE CONTROL SYSTEMS;

EID: 84875550058     PISSN: 21682267     EISSN: None     Source Type: Journal    
DOI: 10.1109/TSMCB.2012.2207718     Document Type: Article

References (69)

1. W. Ren and Y. Cao, Distributed Coordination of Multi-Agent Networks, Communications and Control Engineering Series. London, U.K.: Springer-Verlag, 2011.
2. C. Wu and L. Chua, "Synchronization in an array of linearly coupled dynamical systems," IEEE Trans. Circuits Syst. I, Fundam. Theory Appl., vol. 42, no. 8, pp. 430-447, Aug. 1995.
3. A. Pikovsky, M. Rosenblum, and J. Kurths, Synchronization: A Universal Concept in Nonlinear Sciences. Cambridge, U.K.: Cambridge Univ. Press, 2001.
4. A. Arenas, A. Guilera, J. Kurths, Y. Moreno, and C. Zhou, "Synchronization in complex networks," Phys. Rep., vol. 469, no. 3, pp. 93-153, 2008.
5. H. R. Karimi and P. Maass, "Delay-range-dependent exponential image synchronization of a class of delayed neural networks," Chaos, Solitions Fractals, vol. 41, pp. 1125-1135, 2009.
6. Y. Tang, Z. D. Wang, W. Wong, J. Kurths, and J. Fang, "Multiobjective synchronization of coupled systems," Chaos, vol. 21, no. 2, p. 025 114, Jun. 2011.
7. J. Lu, D. W. C. Ho, J. Cao, and J. Kurths, "Exponential synchronization of linearly coupled neural networks with impulsive disturbances," IEEE Trans. Neural Netw., vol. 22, no. 2, pp. 329-336, Feb. 2011.
8. H. R. Karimi, "A sliding mode approach to H-infinity synchronization of master-slave time-delay systems with Markovian jumping parameters and nonlinear uncertainties," J. Franklin Inst., vol. 349, no. 4, pp. 1480-1496, May 2012.
9. 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. B, Cybern., vol. 38, no. 4, pp. 1073-1083, Aug. 2008.
10. Y. Liu, Z. Wang, J. Liang, and X. Liu, "Synchronization and state estimation for discrete-time complex networks with distributed delays," IEEE Trans. Syst., Man, Cybern. B, Cybern., vol. 38, no. 5, pp. 1314-1325, Oct. 2008.
11. J. Lu, D. Ho, and Z. Wang, "Pinning stabilization of linearly coupled stochastic neural networks via minimum number of controllers," IEEE Trans. Neural Netw., vol. 20, no. 10, pp. 1617-1629, Oct. 2009.
12. H. R. Karimi, M. Zapateiro, and N. Luo, "Adaptive synchronization of master-slave systems with mixed neutral and discrete time-delays and nonlinear perturbations," Asian J. Control, vol. 14, no. 1, pp. 251-257, Jan. 2012.
13. J. Zhou, J. Lu, and J. Lu, "Pinning adaptive synchronization of a general complex dynamical network," Automatica, vol. 44, no. 4, pp. 996-1003, Apr. 2008.
14. W. Yu, G. Chen, Z. Wang, and W. Yang, "Distributed consensus filtering in sensor networks," IEEE Trans. Syst., Man, Cybern. B, Cybern., vol. 39, no. 6, pp. 1568-1577, Dec. 2009.
15. ∞ synchronization for uncertain neural networks with mixed time delays," IEEE Trans. Syst., Man, Cybern. B, Cybern., vol. 40, no. 1, pp. 173-185, Feb. 2010.
16. A. Jadbabaie, J. Lin, and A. Morse, "Coordination of groups of mobile autonomous agents using nearest neighbor rules," IEEE Trans. Autom. Control, vol. 48, no. 6, pp. 988-1001, Jun. 2003.
17. R. Saber and R. Murray, "Consensus problems in networks of agents with switching topology and time-delays," IEEE Trans. Autom. Control, vol. 49, no. 9, pp. 1520-1533, Sep. 2004.
18. W. Ren and R. Beard, "Consensus seeking in multiagent systems under dynamically changing interaction topologies," IEEE Trans. Autom. Control, vol. 50, no. 5, pp. 655-661, May 2005.
19. R. Saber, J. Fax, and R. Murray, "Consensus and cooperation in networked multi-agent systems," Proc. IEEE, vol. 95, no. 1, pp. 215-233, Jan. 2007.
20. Z. Li, Z. Duan, and G. Chen, "Consensus of multiagent systems and synchronization of complex networks: A unified viewpoint," IEEE Trans. Circuits Syst. I, Reg. Papers, vol. 57, no. 1, pp. 213-224, Jan. 2010.
21. Y. Tang, H. Gao, J. Kurths, and J. Fang, "Evolutionary pinning control and its application in UAV coordination," IEEE Trans. Ind. Informat., 2012, to be published.
22. Y. Tang, Z. D. Wang, and J. Fang, "Pinning control of fractional-order weighted complex networks," Chaos, vol. 19, no. 1, p. 013 112, Mar. 2009.
23. J. Zhao, D. J. Hill, and T. Liu, "Stability of dynamical networks with non-identical nodes: A multiple V-Lyapunov function method," Automatica, vol. 47, no. 12, pp. 2615-2625, Dec. 2011.
24. W. Zhong, J. D. Stefanovski, G. M. Dimirovski, and J. Zhao, "Decentralized control and synchronization of time-varying complex dynamical network," Kybernetika, vol. 45, no. 1, pp. 151-167, 2009.
25. L. Wang, Y. Jing, Z. Kong, and G. M. Dimirovski, "Adaptive exponential synchronization of uncertain complex dynamical networks with delay coupling," NeuroQuantology - Int. J. Neurol. Quantum Phys., vol. 6, no. 4, pp. 397-404, 2008.
26. T. Liu, G. M. Dimirovski, and J. Zhao, "Exponential synchronization of complex delayed dynamical networks with general topology," Phys. A - Statist. Mech. Appl., vol. 387, no. 2/3, pp. 643-652, Jan. 2008.
27. W. Yu, P. Lellis, G. Chen, M. Bernardo, and J. Kurths, "Distributed adaptive control of synchronization in complex networks," IEEE Trans. Autom. Control, 2012, to be published.
28. A. Dimakis, S. Kar, J. Moura, M. Rabbat, and A. Scaglione, "Gossip algorithms for distributed signal processing," Proc. IEEE, vol. 98, no. 11, pp. 1847-1864, Nov. 2010.
29. W. Yu, G. Chen, M. Cao, and J. Kurths, "Second-order consensus for multi-agent systems with directed topologies and nonlinear dynamics," IEEE Trans. Syst., Man, Cybern. B, Cybern., vol. 40, no. 3, pp. 881-891, Jun. 2010.
30. P. Lellis, M. Bernardo, and G. Russo, "On QUAD, Lipschitz, and contracting vector fields for consensus and synchronization of networks," IEEE Trans. Circuits Syst. I, Reg. Papers, vol. 58, no. 3, pp. 576-583, Mar. 2011.
31. J. Hespanha, P. Naghshtabrizi, and Y. Xu, "A survey of recent results in networked control systems," Proc. IEEE, vol. 95, no. 1, pp. 138-162, Jan. 2007.
32. Z. Wang, Y. Wang, and Y. Liu, "Global synchronization for discrete-time stochastic complex networks with randomly occurred nonlinearities and mixed time-delays," IEEE Trans. Neural Netw., vol. 21, no. 1, pp. 11-25, Jan. 2010.
33. M. Porfiri and D. Stilwell, "Consensus seeking over random weighted directed graphs," IEEE Trans. Autom. Control, vol. 52, no. 9, pp. 1767-1773, Sep. 2007.
34. I. Belykh, V. Belykh, andM. Hasler, "Blinking model and synchronization in small-world networks with a time-varying coupling," Phys. D, vol. 195, no. 1/2, pp. 188-206, 2004.
35. B. Shen, Z.Wang, H. Shu, and G.Wei, "H- ∞ filtering for uncertain time-varying systems with multiple randomly occurred nonlinearities and successive packet dropouts," Int. J. Robust Nonlin. Control, vol. 21, no. 14, pp. 1693-1709, Sep. 2011.
36. Z. Wang, B. Shen, and X. Liu, "H- ∞ filtering with randomly occurring sensor saturations and missing measurements," Automatica, vol. 48, no. 3, pp. 556-562, Mar. 2012.
37. X. Sun, G. Liu, D. Rees, and W. Wang, "Stability of systems with controller failure and time-varying delay," IEEE Trans. Autom. Control, vol. 53, no. 10, pp. 2391-2396, Nov. 2008.
38. M. Żochowski, "Intermittent dynamical control," Phys. D, vol. 145, no. 3/4, pp. 181-190, Nov. 2000.
39. J. Zhao, D. J. Hill, and T. Liu, "Synchronization of complex dynamical networks with switching topology: A switched system point of view," Automatica, vol. 45, no. 11, pp. 2502-2511, Nov. 2009.
40. L. Wu, Z. Feng, and W. X. Zheng, "Exponential stability analysis for delayed neural networks with switching parameters: Average dwell time approach," IEEE Trans. Neural Netw., vol. 21, no. 9, pp. 1396-1407, Sep. 2010.
41. H. Li, B. Chen, Q. Zhou, and W. Qian, "Robust stability for uncertain delayed fuzzy hopfield neural networks with Markovian jumping parameters," IEEE Trans. Syst., Man, Cybern. B, Cybern., vol. 39, no. 1, pp. 94-102, Feb. 2009.
42. M. Huang, S. Dey, G. N. Nair, and J. H. Manton, "Stochastic consensus over noisy networks with Markovian and arbitrary switches," Automatica, vol. 46, no. 10, pp. 1571-1583, Oct. 2010.
43. Z.Wang, F. Yang, D. Ho, and X. Liu, "Robust H- ∞ control for networked systems with random packet losses," IEEE Trans. Syst., Man, Cybern. B, Cybern., vol. 37, no. 4, pp. 916-924, Aug. 2007.
44. 2 fault detection for Markovian jumping two-dimensional systems," Automatica, 2012, to be published.
45. H. Gao, X. Meng, and T. Chen, "Stabilization of networked control systems with a new delay characterization," IEEE Trans. Autom. Control, vol. 53, no. 9, pp. 2142-2148, Oct. 2008.
46. H. Gao, Y. Zhao, and T. Chen, "H- ∞ fuzzy control of nonlinear systems under unreliable communication links," IEEE Trans. Fuzzy Syst., vol. 17, no. 2, pp. 265-278, Apr. 2009.
47. L. Xiao, S. Boyd, and S. Kim, "Distributed average consensus with least-mean-square deviation," J. Parallel Distrib. Comput., vol. 67, no. 1, pp. 33-46, 2007.
48. W. Lu, "Adaptive dynamical networks via neighborhood information: Synchronization and pinning control," Chaos, vol. 17, no. 2, p. 023 122, Jun. 2007.
49. J. Lofberg, "YALMIP: A toolbox for modeling and optimization in MATLAB," in Proc. CACSD Conf., Taipei, Taiwan, 2004, pp. 284-289.
50. W. Yu, G. Chen, and M. Cao, "Consensus in directed networks of agents with nonlinear dynamics," IEEE Trans. Autom. Control, vol. 56, no. 6, pp. 1436-1441, Jun. 2011.
51. D. Yue, E. Tian, Z. Wang, and J. Lam, "Stabilization of systems with probabilistic interval input delays and its applications to networked control systems," IEEE Trans. Syst., Man, Cybern., A, Syst. Humans, vol. 39, no. 4, pp. 939-945, Jul. 2009.
52. G. Wei, Z. Wang, and H. Shu, "Robust filtering with stochastic nonlinearities and multiple missing measurements," Automatica, vol. 45, no. 3, pp. 836-841, Mar. 2009.
53. W. Lu and T. Chen, "New approach to synchronization analysis of linearly coupled ordinary differential systems," Phys. D, vol. 213, no. 2, pp. 214-230, Jan. 2006.
54. X. Mao and C. Yuan, Stochastic Differential Equations With Markovian Switching. London, U.K.: Imperial College Press, 2008.
55. X. Mao, "Exponential stability of stochastic delay interval systems with Markovian switching," IEEE Trans. Autom. Control, vol. 47, no. 10, pp. 1604-1612, Oct. 2002.
56. R. Horn and C. Johnson, Matrix Analysis. Cambridge, U.K.: Cambridge Univ. Press, 1990.
57. 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. 166-173, Mar. 1993.
58. A. Barabási and R. Albert, "Emergence of scaling in random networks," Science, vol. 286, no. 5439, pp. 509-512, Oct. 1999.
59. J. Qin, W. Zheng, and H. Gao, "Consensus of multiple second-order vehicles with a time-varying reference signal under directed topology," Automatica, vol. 47, no. 9, pp. 1983-1991, Sep. 2011.
60. W. Zou, J. Lu, Y. Tang, C. Zhang, and J. Kurths, "Control of delay-induced oscillation death by coupling phase in coupled oscillators," Phys. Rev. E, vol. 84, no. 6, p. 066 208, Dec. 2011.
61. ∞ control of uncertain Markovian jump systems with mixed neutral, discrete and distributed time-delays," IEEE Trans. Circuits Syst. I, Reg. Papers, vol. 58, no. 8, pp. 1910-1923, Aug. 2011.
62. H. Li, H. Gao, and P. Shi, "New passivity analysis for neural networks with discrete and distributed delays," IEEE Trans. Neural Netw., vol. 21, no. 11, pp. 1842-1847, Nov. 2010.
63. C. Li, W. Sun, and J. Kurths, "Synchronization between two coupled complex networks," Phys. Rev. E, vol. 76, no. 4, p. 046 204, Oct. 2007.
64. J. Donges, H. Schultz, N. Marwan, Y. Zou, and J. Kurths, "Investigating the topology of interacting networks: Theory application to coupled climate subnetworks," Eur. Phys. J. B, vol. 84, no. 4, pp. 635-651, 2011.
65. Y. Tang, W. Zou, J. Lu, and J. Kurths, "Stochastic resonance in an ensemble of bistable systems under stable distribution noises and heterogeneous coupling," Phys. Rev. E, vol. 85, no. 4, p. 046 207, Apr. 2012.
66. L. Cheng, Z. Hou, M. Tan, and X. Wang, "Necessary and sufficient conditions for consensus of double-integrator multi-agent systems with measurement noises," IEEE Trans. Autom. Control, vol. 56, no. 8, pp. 1958-1963, Aug. 2011.
67. Z. Hou, L. Cheng, and M. Tan, "Decentralized robust adaptive control for the multiagent system consensus problem using neural networks," IEEE Trans. Syst., Man, Cybern. B, Cybern., vol. 39, no. 3, pp. 636-647, Jun. 2009.
68. L. Cheng, Z. Hou, M. Tan, Y. Lin, and W. Zhang, "Neural-network- based adaptive leader-following control for multi-agent systems with uncertainties," IEEE Trans. Neural Netw., vol. 21, no. 8, pp. 1351-1358, Aug. 2010.
69. G. Chen and F. L. Lewis, "Distributed adaptive tracking control for synchronization of unknown networked Lagrangian systems," IEEE Trans. Syst., Man, Cybern. B, Cybern., vol. 41, no. 3, pp. 805-816, Jun. 2011.