Introduction

  • Yuanqing Wu
  • Renquan Lu
  • Hongye Su
  • Peng Shi
  • Zheng-Guang Wu
Chapter
Part of the Studies in Systems, Decision and Control book series (SSDC, volume 76)

Abstract

LSNSs include a group of interconnected nodes and have attracted increasing attention from researchers due to its widespread applications in sensor networks, surveillance systems, intelligent transportation management systems, etc. The nodes in LSNSs exchange information through a communication graph, which is a time-varying graph or a time-invariant graph. Based on the communication topology, nodes in LSNSs are coupled, which give rise to a variety of collective complexities in the overall dynamical properties of LSNSs.

Keywords

Heterogeneous Network Network Control System Communication Graph Consensus Problem Exogenous Disturbance 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

  1. 1.
    Meng, Z., Li, Z., Vasilakos, A. V., & Chen, S. (2013). Delay-induced synchronization of identical linear multiagent systems. IEEE Transactions on Cybernetics, 43(2), 476–489.CrossRefGoogle Scholar
  2. 2.
    Wang, X., Li, S., & Shi, P. (2014). Distributed finite-time containment control for double-integrator multiagent systems. IEEE Transactions on Cybernetics, 44(9), 1518–1528.CrossRefGoogle Scholar
  3. 3.
    Song, Q., Liu, F., Cao, J., & Yu, W. (2013). \(M\)-matrix strategies for pinning-controlled leader-following consensus in multiagent systems with nonlinear dynamics. IEEE Transactions on Cybernetics, 43(6), 1688–1697.CrossRefGoogle Scholar
  4. 4.
    Shen, Q., Jiang, B., Shi, P., & Zhao, J. (2014). Cooperative adaptive fuzzy tracking control for networked unknown nonlinear multiagent systems with time-varying actuator faults. IEEE Transactions on Fuzzy Systems, 22(3), 494–504.CrossRefGoogle Scholar
  5. 5.
    Du, H., Li, S., & Shi, P. (2012). Robust consensus algorithm for second-order multi-agent systems with external disturbances. International Journal of Control, 85(12), 1913–1928.MathSciNetCrossRefMATHGoogle Scholar
  6. 6.
    Meng, X., & Chen, T. (2013). Event based agreement protocols for multi-agent networks. Automatica, 49(7), 2125–2132.MathSciNetCrossRefGoogle Scholar
  7. 7.
    Wen, G., Hu, G., Yu, W., Cao, J., & Chen, G. (2013). Consensus tracking for higher-order multi-agent systems with switching directed topologies and occasionally missing control inputs. Systems & Control Letters, 62(12), 1151–1158.MathSciNetCrossRefMATHGoogle Scholar
  8. 8.
    Liu, S., Li, T., & Xie, L. (2011). Distributed consensus for multiagent systems with communication delays and limited data rate. SIAM Journal on Control and Optimization, 49(6), 2239–2262.MathSciNetCrossRefMATHGoogle Scholar
  9. 9.
    Zhu, L., & Chen, Z. (2014). Robust homogenization and consensus of nonlinear multi-agent systems. Systems & Control Letters, 65, 50–55.MathSciNetCrossRefMATHGoogle Scholar
  10. 10.
    Fan, M., Chen, Z., & Zhang, H. (2014). Semi-global consensus of nonlinear second-order multi-agent systems with measurement output feedback. IEEE Transactions on Automatic Control, 59(8), 2222–2227.MathSciNetCrossRefGoogle Scholar
  11. 11.
    Wu, Y., Wu, Z., & Su, H. (2015). Robust output synchronisation of non-identical linear agents via internal model principle. IET Control Theory & Applications, 9(12), 1755–1765.MathSciNetCrossRefGoogle Scholar
  12. 12.
    Xu, X., & Yang, Z. (2013). A new bounded potential fundtion for flocking of multi-agents. ICIC Express Letters. Part B, Applications: An International Journal of Research and Surveys, 4(5), 1183–1188.Google Scholar
  13. 13.
    Ren, W., & Beard, R. (2005). Consensus seeking in multiagent systems under dynamically changing interaction topologies. IEEE Transactions on Automatic Control, 50(5), 655–661.MathSciNetCrossRefGoogle Scholar
  14. 14.
    Hong, Y., Gao, L., Cheng, D., & Hu, J. (2007). Lyapunov-based approach to multiagent systems with switching jointly connected interconnection. IEEE Transactions on Automatic Control, 52(5), 943–948.MathSciNetCrossRefGoogle Scholar
  15. 15.
    Yu, W., Chen, G., Cao, M., & Kurths, J. (2010). Second-order consensus for multiagent systems with directed topologies and nonlinear dynamics. IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics, 40(3), 881–891.CrossRefGoogle Scholar
  16. 16.
    Meng, D., & Moore, K. L. (2014). Studies on resilient control through multiagent consensus networks subject to disturbances. IEEE Transactions on Cybernetics, 44(11), 2050–2064.CrossRefGoogle Scholar
  17. 17.
    Li, S., Feng, G., Luo, X., & Guan, X. Output consensus of heterogeneous linear discrete-time multiagent systems with structural uncertainties. IEEE Transactions on Cybernetics. doi: 10.1109/TCYB.2015.2388538.
  18. 18.
    Zhang, H., Feng, T., Yang, G.-H., & Liang, H. Distributed cooperative optimal control for multiagent systems on directed graphs: An inverse optimal approach. IEEE Transactions on Cybernetics. doi: 10.1109/TCYB.2014.2350511.
  19. 19.
    Hu, Y., Gao, Y., & An, B. (2015). Multiagent reinforcement learning with unshared value functions. IEEE Transactions on Cybernetics, 45(4), 647–662.CrossRefGoogle Scholar
  20. 20.
    Yu, C., Zhang, M., Ren, F., & Tan, G. Multiagent learning of coordination in loosely coupled multiagent systems. IEEE Transactions on Cybernetics. doi: 10.1109/TCYB.2014.2387277.
  21. 21.
    Lin, P., Jia, Y., & Li, L. (2008). Distributed robust \(H_{\infty }\) consensus control in directed networks of agents with time-delay. Systems & Control Letters, 57(8), 643–653.MathSciNetCrossRefMATHGoogle Scholar
  22. 22.
    Li, Z., Duan, Z., & Chen, G. (2011). Dynamic consensus of linear multi-agent systems. IET Control Theory & Applications, 5(1), 19–28.MathSciNetCrossRefGoogle Scholar
  23. 23.
    Xiong, W., Ho, D. W., & Cao, J. (2012). Impulsive consensus of multi-agent directed networks with nonlinear perturbations. International Journal of Robust and Nonlinear Control, 22(14), 1571–1582.MathSciNetCrossRefMATHGoogle Scholar
  24. 24.
    Zhao, J., Hill, D. J., & Liu, T. (2009). Synchronization of complex dynamical networks with switching topology: A switched system point of view. Automatica, 45(11), 2502–2511.MathSciNetCrossRefMATHGoogle Scholar
  25. 25.
    Li, C., Chen, M., Lam, J., & Mao, X. (2012). On exponential almost sure stability of random jump systems. IEEE Transactions on Automatic Control, 57(12), 3064–3077.MathSciNetCrossRefGoogle Scholar
  26. 26.
    Lu, J. Q., Ho, D. W., & Cao, J. (2010). A unified synchronization criterion for impulsive dynamical networks. Automatica, 46(7), 1215–1221.MathSciNetCrossRefMATHGoogle Scholar
  27. 27.
    Lu, J. Q., Ho, D. W., Cao, J., & Kurths, J. (2013). Single impulsive controller for globally exponential synchronization of dynamical networks. Nonlinear Analysis: Real World Applications, 14(1), 581–593.MathSciNetCrossRefMATHGoogle Scholar
  28. 28.
    Lu, J. Q., Kurths, J., Cao, J., Mahdavi, N., & Huang, C. (2012). Synchronization control for nonlinear stochastic dynamical networks: Pinning impulsive strategy. IEEE Transactions on Neural Networks and Learning Systems, 23(2), 285–292.CrossRefGoogle Scholar
  29. 29.
    Li, L. L., Ho, D. W. C., & Lu, J. Q. (2013). A unified approach to practical consensus with quantized data and time delay. IEEE Transactions on Circuits and Systems I: Regular Papers, 60(10), 2668–2678.MathSciNetCrossRefGoogle Scholar
  30. 30.
    Su, H., Rong, Z., Chen, M. Z. Q., Wang, X., Chen, G., & Wang, H. (2013). Decentralized adaptive pinning control for cluster synchronization of complex dynamical networks. IEEE Transactions on Cybernetics, 43(1), 394–399.CrossRefGoogle Scholar
  31. 31.
    Su, H., Zhang, N., Chen, M. Z., Wang, H., & Wang, X. (2013). Adaptive flocking with a virtual leader of multiple agents governed by locally lipschitz nonlinearity. Nonlinear Analysis: Real World Applications, 14(1), 798–806.MathSciNetCrossRefMATHGoogle Scholar
  32. 32.
    Zhang, W. A., Feng, G., & Yu, L. (2012). Multi-rate distributed fusion estimation for sensor networks with packet losses. Automatica, 48(9), 2016–2028.MathSciNetCrossRefMATHGoogle Scholar
  33. 33.
    Zhang, W. A., Liu, S., & Yu, L. (2014). Fusion estimation for sensor networks with nonuniform estimation rates. IEEE Transactions on Circuits and Systems I: Regular Papers, 61(5), 1485–1498.MathSciNetCrossRefGoogle Scholar
  34. 34.
    He, W., Qian, F., & Han, Q. (2012). Leader-follower synchronization for complex dynamical networks via sampled-data control. In 2012 31st Chinese, Control Conference (CCC) (pp. 6099–6104). IEEE.Google Scholar
  35. 35.
    Hu, L., Shi, P., & Frank, P. (2006). Robust sampled-data control for markovian jump linear systems. Automatica, 42, 2025–2030.MathSciNetCrossRefMATHGoogle Scholar
  36. 36.
    Nguang, S. K., & Shi, P. (2003). Fuzzy \({H}_\infty \) output feedback control of nonlinear systems under sampled measurements. Automatica, 39, 2169–2174.MathSciNetCrossRefMATHGoogle Scholar
  37. 37.
    Liu, M., Zhang, S., Fan, Z., & Qiu, M. (2012). \({H}_{\infty }\) state estimation for discrete-time chaotic systems based on a unified model. IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics, 42, 1053–1063.Google Scholar
  38. 38.
    Zhang, W., Branicky, M., & Phillips, S. (2001). Stability of networked control systems. IEEE Control System Magazine, 21, 84–99.CrossRefGoogle Scholar
  39. 39.
    Hu, L., Lam, J., Cao, Y., & Shao, H. (2003). A LMI approach to robust \({H}_2\) sampled-data control for linear uncertain systems. IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics, 33, 149–155.Google Scholar
  40. 40.
    Fridman, E., Seuret, A., & Richard, J. P. (2004). Robust sampled-data stabilization of linear systems: An input delay approach. Automatica, 40, 1441–1446.MathSciNetCrossRefMATHGoogle Scholar
  41. 41.
    Shen, B., Wang, Z., & Liu, X. (2011). A stochastic sampled-data approach to distributed \({H}_{\infty }\) filtering in sensor networks. IEEE Transactions on Circuits and Systems I: Regular Papers, 58, 2237–2246.MathSciNetCrossRefGoogle Scholar
  42. 42.
    Shen, B., Wang, Z., & Liu, X. Sampled-data synchronization control of complex dynamical networks with stochastic sampling. IEEE Transactions on Automatic Control, Accepted.Google Scholar
  43. 43.
    Fridman, E. (2010). A refined input delay approach to sampled-data control. Automatica, 46(2), 421–427.MathSciNetCrossRefMATHGoogle Scholar
  44. 44.
    Zhu, X., Chen, B., Yue, D., & Wang, Y. (2012). An improved input delay approach to stabilization of fuzzy systems under variable sampling. IEEE Transactions on Fuzzy Systems, 20, 330–341.CrossRefGoogle Scholar
  45. 45.
    Scardovi, L., & Sepulchre, R. (2009). Synchronization in networks of identical linear systems. Automatica, 45(11), 2557–2562.MathSciNetCrossRefMATHGoogle Scholar
  46. 46.
    Isidori, A., Marconi, L., & Casadei, G. (2014). Robust output synchronization of a network of heterogeneous nonlinear agents via nonlinear regulation theory. IEEE Transactions on Automatic Control, 59(10), 2680–2691.MathSciNetCrossRefGoogle Scholar
  47. 47.
    Wieland, P., Sepulchre, R., & Allgöwer, F. (2011). An internal model principle is necessary and sufficient for linear output synchronization. Automatica, 47(5), 1068–1074.MathSciNetCrossRefMATHGoogle Scholar
  48. 48.
    Yu, W., Chen, G., & Lu, J. (2009). On pinning synchronization of complex dynamical networks. Automatica, 45(2), 429–435.MathSciNetCrossRefMATHGoogle Scholar
  49. 49.
    Tang, Y., Gao, H., Kurths, J., & Fang, J.-A. (2012). Evolutionary pinning control and its application in UAV coordination. IEEE Transactions on Industrial Informatics, 8(4), 828–838.CrossRefGoogle Scholar
  50. 50.
    Zhang, X., Liu, L., & Feng, G. (2015). Leader-follower consensus of time-varying nonlinear multi-agent systems. Automatica, 52, 8–14.MathSciNetCrossRefMATHGoogle Scholar
  51. 51.
    Wu, W., Zhou, W., & Chen, T. (2009). Cluster synchronization of linearly coupled complex networks under pinning control. IEEE Transactions on Circuits and Systems I: Regular Papers, 56(4), 829–839.MathSciNetCrossRefGoogle Scholar
  52. 52.
    DeLellis, P., & Garofalo, F. (2009). Novel decentralized adaptive strategies for the synchronization of complex networks. Automatica, 45(5), 1312–1318.MathSciNetCrossRefMATHGoogle Scholar
  53. 53.
    Zhang, H., Chen, M. Z., & Stan, G. B. (2011). Fast consensus via predictive pinning control. IEEE Transactions on Circuits and Systems I: Regular Papers, 58(9), 2247–2258.MathSciNetCrossRefGoogle Scholar
  54. 54.
    Li, Z., Duan, Z., & Lin, H. (2008). Disturbance rejection and \(H_\infty \) pinning control of networked multi-agent systems. In Control conference, 2008. CCC 2008. 27th Chinese (pp. 514–518). IEEE.Google Scholar
  55. 55.
    Liu, Y., & Jia, Y. (2012). \(H_\infty \) consensus control for multi-agent systems with linear coupling dynamics and communication delays. International Journal of Systems Science, 43(1), 50–62.MathSciNetCrossRefMATHGoogle Scholar
  56. 56.
    Liu, Y., & Jia, Y. (2010). \(H_\infty \) consensus control of multi-agent systems with switching topology: A dynamic output feedback protocol. International Journal of Control, 83(3), 527–537.MathSciNetCrossRefMATHGoogle Scholar
  57. 57.
    He, Y., & Wang, Q. G. (2006). An improved ilmi method for static output feedback control with application to multivariable pid control. IEEE Transactions on Automatic Control, 51(10), 1678–1683.MathSciNetCrossRefGoogle Scholar
  58. 58.
    Shu, Z., Lam, J., & Xiong, J. (2010). Static output-feedback stabilization of discrete-time markovian jump linear systems: A system augmentation approach. Automatica, 46(4), 687–694.Google Scholar
  59. 59.
    Feng, Z., Lam, J., & Shu, Z. (2013). Dissipative control for linear systems by static output feedback. International Journal of Systems Science, 44(8), 1566–1576.MathSciNetCrossRefMATHGoogle Scholar
  60. 60.
    Wen, G., Hu, G., Yu, W., & Chen, G. (2014). Distributed consensus of higher order multiagent systems with switching topologies. IEEE Transactions on Circuits and Systems II: Express Briefs, 61(5), 359–363.CrossRefGoogle Scholar
  61. 61.
    Wen, G., Yu, W., Chen, M. Z., Yu, X., & Chen, G. (2014). \(H_\infty \) pinning synchronization of directed networks with aperiodic sampled-data communications. IEEE Transactions on Circuits and Systems I: Regular Papers, 61(11), 3245–3255.MathSciNetCrossRefGoogle Scholar
  62. 62.
    Qin, J., Yu, C., & Gao, H. (2014). Coordination for linear multiagent systems with dynamic interaction topology in the leader-following framework. IEEE Transactions on Industrial Electronics, 61(5), 2412–2422.CrossRefGoogle Scholar
  63. 63.
    Olfati, R., & Murray, R. M. (2004). Consensus problems in networks of agents with switching topology and time-delays. IEEE Transactions on Automatic Control, 49(9), 1520–1533.MathSciNetCrossRefGoogle Scholar
  64. 64.
    Dimarogonas, D. V., & Johansson, K. H. (2010). Stability analysis for multi-agent systems using the incidence matrix: Quantized communication and formation control. Automatica, 46(4), 695–700.MathSciNetCrossRefMATHGoogle Scholar
  65. 65.
    Godsil, C., & Royle, G. F. (2013). Algebraic graph theory (Vol. 207). Berlin: Springer.MATHGoogle Scholar
  66. 66.
    Wang, W., Wen, C., Li, Z., & Huang, J. (2013). Hierarchical decomposition based distributed adaptive control for output consensus tracking of uncertain nonlinear systems. In American Control Conference (ACC), 2013 (pp. 4921–4926). IEEE.Google Scholar
  67. 67.
    Xie, L. (1996). Output feedback \(h_{\infty }\) control of systems with parameter uncertainty. International Journal of Control, 63(4), 741–750.MathSciNetCrossRefMATHGoogle Scholar
  68. 68.
    Shu, Z., Lam, J., & Xiong, J. (2009). Non-fragile exponential stability assignment of discrete-time linear systems with missing data in actuators. IEEE Transactions on Automatic Control, 54(3), 625–630.MathSciNetCrossRefGoogle Scholar
  69. 69.
    Wang, Y., Xie, L., & de Souza, C. E. (1992). Robust control of a class of uncertain nonlinear systems. Systems & Control Letters, 19(2), 139–149.MathSciNetCrossRefMATHGoogle Scholar
  70. 70.
    Ma, Q., Lu, J., & Xu, H. (2014). Consensus for nonlinear multi-agent systems with sampled data. Transactions of the Institute of Measurement and Control, 36(5), 618–626.CrossRefGoogle Scholar
  71. 71.
    Lu, J., & Ho, D. W. (2010). Globally exponential synchronization and synchronizability for general dynamical networks. IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics, 40(2), 350–361.CrossRefGoogle Scholar
  72. 72.
    Liu, K., & Fridman, E. (2012). Wirtingers inequality and Lyapunov-based sampled-data stabilization. Automatica, 48(1), 102–108.MathSciNetCrossRefMATHGoogle Scholar
  73. 73.
    Park, P., Ko, J. W., & Jeong, C. (2011). Reciprocally convex approach to stability of systems with time-varying delays. Automatica, 47, 235–238.MathSciNetCrossRefMATHGoogle Scholar
  74. 74.
    Isidori, A. (1999). Nonlinear Control Systems (Vol. 2). Great Britain: Springer.Google Scholar

Copyright information

© Springer International Publishing Switzerland 2017

Authors and Affiliations

  • Yuanqing Wu
    • 1
  • Renquan Lu
    • 1
  • Hongye Su
    • 2
  • Peng Shi
    • 3
  • Zheng-Guang Wu
    • 2
  1. 1.Intelligent Information Processing LabGuangdong University of TechnologyGuangzhouChina
  2. 2.Institute of Cyber-Systems and ControlZhejiang UniversityHangzhouChina
  3. 3.School of Electrical and Electronic EngineeringUniversity of AdelaideAdelaideAustralia

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