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Mathematical Problems in Engineering
Volume 2012 (2012), Article ID 416358, 15 pages
http://dx.doi.org/10.1155/2012/416358
Review Article

A Review on Analysis and Synthesis of Nonlinear Stochastic Systems with Randomly Occurring Incomplete Information

1College of Electrical and Information Engineering, Northeast Petroleum University, Daqing 163318, China
2Institute for Automatic Control and Complex Systems, University of Duisburg-Essen 47057, Germany
3Department of Automation, Tsinghua University, Beijing 100084, China
4Department of Information Systems and Computing, Brunel University, Uxbridge, Middlesex, UB8 3PH, UK
5Department of Engineering Technology, Texas Southern University, 3100 Cleburne Street, Houston, TX 77004, USA
6Research Institute of Intelligent Control and Systems, Harbin Institute of Technology, Harbin 150001, China

Received 11 November 2012; Accepted 21 November 2012

Academic Editor: Bo Shen

Copyright © 2012 Hongli Dong et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. G. Chen, “Simple treatment for suboptimal Kalman filtering in case of measurement data missing,” IEEE Transactions on Aerospace and Electronic Systems, vol. 26, no. 2, pp. 413–415, 1990. View at Publisher · View at Google Scholar · View at Scopus
  2. F. O. Hounkpevi and E. E. Yaz, “Robust minimum variance linear state estimators for multiple sensors with different failure rates,” Automatica, vol. 43, no. 7, pp. 1274–1280, 2007. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  3. S. Nakamori, R. Caballero-Águila, A. Hermoso-Carazo, J. D. Jiménez-López, and J. Linares-Pérez, “Signal estimation with nonlinear uncertain observations using covariance information,” Journal of Statistical Computation and Simulation, vol. 79, no. 1-2, pp. 55–66, 2009. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  4. B. Shen, Z. Wang, H. Shu, and G. Wei, “On nonlinear H filtering for discrete-time stochastic systems with missing measurements,” IEEE Transactions on Automatic Control, vol. 53, no. 9, pp. 2170–2180, 2008. View at Publisher · View at Google Scholar
  5. 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,” International Journal of Robust and Nonlinear Control, vol. 21, no. 14, pp. 1693–1709, 2011. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  6. S. Sun, L. Xie, W. Xiao, and Y. C. Soh, “Optimal linear estimation for systems with multiple packet dropouts,” Automatica, vol. 44, no. 5, pp. 1333–1342, 2008. View at Publisher · View at Google Scholar
  7. Z. Wang, B. Shen, H. Shu, and G. Wei, “Quantized H control for nonlinear stochastic time-delay systems with missing measurements,” IEEE Transactions on Automatic Control, vol. 57, no. 6, pp. 1431–1444, 2012. View at Publisher · View at Google Scholar
  8. 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, 2012. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  9. Z. Wang, F. Yang, D. W. C. Ho, and X. Liu, “Robust H filtering for stochastic time-delay systems with missing measurements,” IEEE Transactions on Signal Processing, vol. 54, no. 7, pp. 2579–2587, 2006. View at Publisher · View at Google Scholar · View at Scopus
  10. Z. Wang, F. Yang, D. W. C. Ho, and X. Liu, “Robust H control for networked systems with random packet losses,” IEEE Transactions on Systems, Man, and Cybernetics B, vol. 37, no. 4, pp. 916–924, 2007. View at Publisher · View at Google Scholar · View at Scopus
  11. G. Wei, Z. Wang, and H. Shu, “Robust filtering with stochastic nonlinearities and multiple missing measurements,” Automatica, vol. 45, no. 3, pp. 836–841, 2009. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  12. H. Gao, Y. Zhao, J. Lam, and K. Chen, “H fuzzy filtering of nonlinear systems with intermittent measurements,” IEEE Transactions on Fuzzy Systems, vol. 17, no. 2, pp. 291–300, 2009. View at Publisher · View at Google Scholar · View at Scopus
  13. Z. Wang, D. W. C. Ho, Y. Liu, and X. Liu, “Robust H control for a class of nonlinear discrete time-delay stochastic systems with missing measurements,” Automatica, vol. 45, no. 3, pp. 684–691, 2009. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  14. Z. Shu, J. Lam, and J. Xiong, “Non-fragile exponential stability assignment of discrete-time linear systems with missing data in actuators,” IEEE Transactions on Automatic Control, vol. 54, no. 3, pp. 625–630, 2009. View at Publisher · View at Google Scholar
  15. M. Sahebsara, T. Chen, and S. L. Shah, “Optimal H2 filtering with random sensor delay, multiple packet dropout and uncertain observations,” International Journal of Control, vol. 80, no. 2, pp. 292–301, 2007. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  16. H. Dong, Z. Wang, D. W. C. Ho, and H. Gao, “Variance-constrained H filtering for a class of nonlinear time-varying systems with multiple missing measurements: the finite-horizon case,” IEEE Transactions on Signal Processing, vol. 58, no. 5, pp. 2534–2543, 2010. View at Publisher · View at Google Scholar
  17. W. Zhang, M. S. Branicky, and S. M. Phillips, “Stability of networked control systems,” IEEE Control Systems Magazine, vol. 21, no. 1, pp. 84–99, 2001. View at Scopus
  18. J. Nilsson, Real-time control systems with delays [Ph.D. dissertation], Lund Institute of Technology, Lund, Sweden, 1998.
  19. F. Gokas, Distributed control of systems over communication networks [Ph.D. dissertation], University of Pennsylvania, Philadelphia, Pa, USA, 2000.
  20. H. Gao and X. Li, “H filtering for discrete-time state-delayed systems with finite frequency specifications,” IEEE Transactions on Automatic Control, vol. 56, no. 12, pp. 2935–2941, 2011. View at Publisher · View at Google Scholar
  21. H. Gao, T. Chen, and J. Lam, “A new delay system approach to network-based control,” Automatica, vol. 44, no. 1, pp. 39–52, 2008. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  22. Z. Wang and D. W. C. Ho, “Filtering on nonlinear time-delay stochastic systems,” Automatica, vol. 39, no. 1, pp. 101–108, 2006. View at Zentralblatt MATH
  23. B. Chen and X. Liu, “Delay-dependent robust H control for T-S fuzzy systems with time delay,” IEEE Transactions on Fuzzy Systems, vol. 13, no. 4, pp. 544–556, 2005. View at Publisher · View at Google Scholar · View at Scopus
  24. M. Liu, D. W. C. Ho, and Y. Niu, “Stabilization of Markovian jump linear system over networks with random communication delay,” Automatica, vol. 45, no. 2, pp. 416–421, 2009. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  25. H. Zhang, M. Li, J. Yang, and D. Yang, “Fuzzy model-based robust networked control for a class of nonlinear systems,” IEEE Transactions on Systems, Man, and Cybernetics A, vol. 39, no. 2, pp. 437–447, 2009. View at Publisher · View at Google Scholar · View at Scopus
  26. F. Yang, Z. Wang, Y. S. Hung, and M. Gani, “H control for networked systems with random communication delays,” IEEE Transactions on Automatic Control, vol. 51, no. 3, pp. 511–518, 2006. View at Publisher · View at Google Scholar
  27. D. Yue, E. Tian, Y. Zhang, and C. Peng, “Delay-distribution-dependent stability and stabilization of T-S fuzzy systems with probabilistic interval delay,” IEEE Transactions on Systems, Man, and Cybernetics B, vol. 39, no. 2, pp. 503–516, 2009. View at Publisher · View at Google Scholar · View at Scopus
  28. D. V. Dimarogonas and K. H. Johansson, “Quantized agreement under time-varying communication topology,” in American Control Conference (ACC '08), pp. 4376–4381, Seattle, Wash, USA, June 2008. View at Scopus
  29. H. Gao and T. Chen, “A new approach to quantized feedback control systems,” Automatica, vol. 44, no. 2, pp. 534–542, 2008. View at Publisher · View at Google Scholar
  30. Z. Gao and S. X. Ding, “Actuator fault robust estimation and fault-tolerant control for a class of nonlinear descriptor systems,” Automatica, vol. 43, no. 5, pp. 912–920, 2007. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  31. H. R. Karimi, “Robust H filter design for uncertain linear systems over network with network-induced delays and output quantization,” Modeling, Identification and Control, vol. 30, no. 1, pp. 27–37, 2009. View at Publisher · View at Google Scholar · View at Scopus
  32. T. Nakamura, “Development of self-learning vision-based mobile robots for acquiring soccer robots behaviors,” in Proceedings of the IEEE International Conference on Robotics and Automation. Part 1 (of 4), pp. 2592–2598, Leuven, Belgium, May 1998. View at Scopus
  33. H. Sun, N. Hovakimyan, and T. Basar, “L1 adaptive controller for quantized systems,” in Proceedings of the American Control Conference, pp. 582–587, San Francisco, Calif, USA, 2011.
  34. C. Y. Tsai and K. T. Song, “Visual tracking control of a wheeled mobile robot with system model and velocity quantization robustness,” IEEE Transactions on Control Systems Technology, vol. 17, no. 3, pp. 520–527, 2009. View at Publisher · View at Google Scholar · View at Scopus
  35. N. Xiao, L. Xie, and M. Fu, “Stabilization of Markov jump linear systems using quantized state feedback,” Automatica, vol. 46, no. 10, pp. 1696–1702, 2010. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  36. R. W. Brockett and D. Liberzon, “Quantized feedback stabilization of linear systems,” IEEE Transactions on Automatic Control, vol. 45, no. 7, pp. 1279–1289, 2000. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  37. D. Liberzon, “On stabilization of linear systems with limited information,” IEEE Transactions on Automatic Control, vol. 48, no. 2, pp. 304–307, 2003. View at Publisher · View at Google Scholar
  38. H. Ishii and B. A. Francis, “Stabilizing a linear system by switching control with dwell time,” IEEE Transactions on Automatic Control, vol. 47, no. 12, pp. 1962–1973, 2002. View at Publisher · View at Google Scholar
  39. N. Elia and S. K. Mitter, “Stabilization of linear systems with limited information,” IEEE Transactions on Automatic Control, vol. 46, no. 9, pp. 1384–1400, 2001. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  40. M. Fu and L. Xie, “The sector bound approach to quantized feedback control,” IEEE Transactions on Automatic Control, vol. 50, no. 11, pp. 1698–1711, 2005. View at Publisher · View at Google Scholar
  41. H. Dong, Z. Wang, and H. Gao, “On design of quantized fault detection filters with randomly occurring nonlinearities and mixed time-delays,” Signal Processing, vol. 92, no. 4, pp. 1117–1125, 2012.
  42. M. Fu and C. E. de Souza, “State estimation for linear discrete-time systems using quantized measurements,” Automatica, vol. 45, no. 12, pp. 2937–2945, 2009. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  43. H. Fang, Z. Lin, and T. Hu, “Analysis of linear systems in the presence of actuator saturation and L2-disturbances,” Automatica, vol. 40, no. 7, pp. 1229–1238, 2004. View at Publisher · View at Google Scholar
  44. T. Hu and Z. Lin, Control Systems With Actuator Saturation: Analysis and Design, Birkäuser, Boston, Mass, USA, 2001.
  45. L. Lv and Z. Lin, “Analysis and design of singular linear systems under actuator saturation and L2/L disturbances,” Systems and Control Letters, vol. 57, no. 11, pp. 904–912, 2008. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  46. L. Wu and D. W. C. Ho, “Fuzzy filter design for Itô stochastic systems with application to sensor fault detection,” IEEE Transactions on Fuzzy Systems, vol. 17, no. 1, pp. 233–242, 2009. View at Publisher · View at Google Scholar · View at Scopus
  47. Y.-Y. Cao, Z. Lin, and B. M. Chen, “An output feedback H controller design for linear systems subject to sensor nonlinearities,” IEEE Transactions on Circuits and Systems I, vol. 50, no. 7, pp. 914–921, 2003. View at Publisher · View at Google Scholar
  48. Y. Xiao, Y.-Y. Cao, and Z. Lin, “Robust filtering for discrete-time systems with saturation and its application to transmultiplexers,” IEEE Transactions on Signal Processing, vol. 52, no. 5, pp. 1266–1277, 2004. View at Publisher · View at Google Scholar
  49. Z. Zuo, J. Wang, and L. Huang, “Output feedback H controller design for linear discrete-time systems with sensor nonlinearities,” IEE Proceedings, vol. 152, no. 1, pp. 19–26, 2005.
  50. G. Garcia, S. Tarbouriech, and J. M. G. da Silva Jr., “Dynamic output controller design for linear systems with actuator and sensor saturation,” in Proceedings of the American Control Conference (ACC '07), pp. 5834–5839, July 2007. View at Scopus
  51. J. Liang, Z. Wang, and X. Liu, “Distributed state estimation for discrete-time sensor networks with randomly varying nonlinearities and missing measurements,” IEEE Transactions on Neural Networks, vol. 22, no. 3, pp. 486–496, 2011. View at Publisher · View at Google Scholar · View at Scopus
  52. Z. Wang, Y. Wang, and Y. Liu, “Global synchronization for discrete-time stochastic complex networks with randomly occurred nonlinearities and mixed time delays,” IEEE Transactions on Neural Networks, vol. 21, no. 1, pp. 11–25, 2010. View at Publisher · View at Google Scholar · View at Scopus
  53. M. Liu, Network-based stability analysis and synthesis for stochastic system with Markovian switching [Ph.D. dissertation], City University of Hong Kong, Hong Kong, 2009.
  54. Z. Fei, H. Gao, and P. Shi, “New results on stabilization of Markovian jump systems with time delay,” Automatica, vol. 45, no. 10, pp. 2300–2306, 2009. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  55. H. Gao, Z. Fei, J. Lam, and B. Du, “Further results on exponential estimates of Markovian jump systems with mode-dependent time-varying delays,” IEEE Transactions on Automatic Control, vol. 56, no. 1, pp. 223–229, 2011. View at Publisher · View at Google Scholar
  56. J. Xiong, J. Lam, H. Gao, and D. W. C. Ho, “On robust stabilization of Markovian jump systems with uncertain switching probabilities,” Automatica, vol. 41, no. 5, pp. 897–903, 2005. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  57. H. Dong, Z. Wang, D. W. C. Ho, and H. Gao, “Robust H filtering for Markovian jump systems with randomly occurring nonlinearities and sensor saturation: the finite-horizon case,” IEEE Transactions on Signal Processing, vol. 59, no. 7, pp. 3048–3057, 2011. View at Publisher · View at Google Scholar
  58. H. Liu, F. Sun, K. He, and Z. Sun, “Design of reduced-order H filter for Markovian jumping systems with time delay,” IEEE Transactions on Circuits and Systems II, vol. 51, no. 11, pp. 1837–1837, 2004. View at Scopus
  59. L. Ma, F. Da, and K.-J. Zhang, “Exponential H filter design for discrete time-delay stochastic systems with Markovian jump parameters and missing measurements,” IEEE Transactions on Circuits and Systems I, vol. 58, no. 5, pp. 994–1007, 2011. View at Publisher · View at Google Scholar
  60. M. H. Terra, J. Y. Ishihara, and G. Jesus, “Information filtering and array algorithms for discrete-time Markovian jump linear systems,” IEEE Transactions on Automatic Control, vol. 54, no. 1, pp. 158–162, 2009. View at Publisher · View at Google Scholar · View at Scopus
  61. L. Wu, P. Shi, H. Gao, and C. Wang, “H filtering for 2D Markovian jump systems,” Automatica, vol. 44, no. 7, pp. 1849–1858, 2008. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  62. J. Xiong and J. Lam, “Fixed-order robust H filter design for Markovian jump systems with uncertain switching probabilities,” IEEE Transactions on Signal Processing, vol. 54, no. 4, pp. 1421–1430, 2006. View at Publisher · View at Google Scholar · View at Scopus
  63. L. Zhang, “H estimation for discrete-time piecewise homogeneous Markov jump linear systems,” Automatica, vol. 45, no. 11, pp. 2570–2576, 2009. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  64. X. Zhang and Y. Zheng, “Nonlinear H filtering for interconnected Markovian jump systems,” Journal of Systems Engineering and Electronics, vol. 17, no. 1, pp. 138–146, 2006. View at Publisher · View at Google Scholar · View at Scopus
  65. L. Wu, P. Shi, and H. Gao, “State estimation and sliding-mode control of Markovian jump singular systems,” IEEE Transactions on Automatic Control, vol. 55, no. 5, pp. 1213–1219, 2010. View at Publisher · View at Google Scholar
  66. J. Zhang, Y. Xia, and E. K. Boukas, “New approach to H control for Markovian jump singular systems,” IET Control Theory and Applications, vol. 4, no. 11, pp. 2273–2284, 2010. View at Publisher · View at Google Scholar
  67. X. He, Z. Wang, and D. H. Zhou, “Robust fault detection for networked systems with communication delay and data missing,” Automatica, vol. 45, no. 11, pp. 2634–2639, 2009. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  68. M. Zhong, H. Ye, P. Shi, and G. Wang, “Fault detection for Markovian jump systems,” IEE Proceedings, vol. 152, no. 4, pp. 397–402, 2005.
  69. L. Zhang, E.-K. Boukas, and J. Lam, “Analysis and synthesis of Markov jump linear systems with time-varying delays and partially known transition probabilities,” IEEE Transactions on Automatic Control, vol. 53, no. 10, pp. 2458–2464, 2008. View at Publisher · View at Google Scholar
  70. Y. Zhao, L. Zhang, S. Shen, and H. Gao, “Robust stability criterion for discrete-time uncertain markovian jumping neural networks with defective statistics of modes transitions,” IEEE Transactions on Neural Networks, vol. 22, no. 1, pp. 164–170, 2011. View at Publisher · View at Google Scholar · View at Scopus
  71. S. X. Ding, T. Jeinsch, P. M. Frank, and E. L. Ding, “A unified approach to the optimization of fault detection systems,” International Journal of Adaptive Control and Signal Processing, vol. 14, no. 7, pp. 725–745, 2000.
  72. Y. Zheng, H. Fang, and H. O. Wang, “Takagi-Sugeno fuzzy-model-based fault detection for networked control systems with Markov delays,” IEEE Transactions on Systems, Man, and Cybernetics B, vol. 36, no. 4, pp. 924–929, 2006. View at Publisher · View at Google Scholar · View at Scopus
  73. M. Zhong, S. X. Ding, and E. L. Ding, “Optimal fault detection for linear discrete time-varying systems,” Automatica, vol. 46, no. 8, pp. 1395–1400, 2010. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  74. Z. Wang, Y. Liu, and X. Liu, “H filtering for uncertain stochastic time-delay systems with sector-bounded nonlinearities,” Automatica, vol. 44, no. 5, pp. 1268–1277, 2008. View at Publisher · View at Google Scholar
  75. G. Wei, Z. Wang, H. Shu, and J. Fang, “A delay-dependent approach to H filtering for stochastic delayed jumping systems with sensor non-linearities,” International Journal of Control, vol. 80, no. 6, pp. 885–897, 2007. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  76. X. Jiang and Q. L. Han, “On designing fuzzy controllers for a class of nonlinear networked control systems,” IEEE Transactions on Fuzzy Systems, vol. 16, no. 4, pp. 1050–1058, 2008. View at Scopus
  77. Z. Wang, D. W. C. Ho, and X. Liu, “A note on the robust stability of uncertain stochastic fuzzy systems with time-delays,” IEEE Transactions on Systems, Man, and Cybernetics A, vol. 34, no. 4, pp. 570–576, 2004. View at Publisher · View at Google Scholar · View at Scopus
  78. W. Zhang, B.-S. Chen, and C.-S. Tseng, “Robust H filtering for nonlinear stochastic systems,” IEEE Transactions on Signal Processing, vol. 53, no. 2, pp. 589–598, 2005. View at Publisher · View at Google Scholar
  79. F. S. Cattivelli and A. H. Sayed, “Diffusion strategies for distributed Kalman filtering and smoothing,” IEEE Transactions on Automatic Control, vol. 55, no. 9, pp. 1520–1520, 2010.
  80. L. Chai, B. Hu, and P. Jiang, “Distributed state estimation based on quantized observations in a bandwidth constrained sensor network,” in Proceedings of the 7th World Congress on Intelligent Control and Automation (WCICA '08), pp. 2411–2415, June 2008. View at Scopus
  81. M. Farina, G. Ferrari-Trecate, and R. Scattolini, “Distributed moving horizon estimation for sensor networks,” in Proceedings of the 1st IFAC Workshop on Estimation and Control of Networked Systems (NecSys '09), pp. 126–131, Venice, Italy, September 2009. View at Scopus
  82. M. Kamgarpour and C. Tomlin, “Convergence properties of a decentralized Kalman filter,” in Proceedings of the 47th IEEE Conference on Decision and Control (CDC '08), pp. 3205–3210, Cancun, Mexico, December 2008. View at Publisher · View at Google Scholar · View at Scopus
  83. R. Olfati-Saber, “Kalman-consensus filter: optimality, stability, and performance,” in Proceedings of the 48th IEEE Conference on Decision and Control held Jointly with 28th Chinese Control Conference (CDC/CCC '09), pp. 7036–7042, New Orleans, La, USA, December 2009. View at Publisher · View at Google Scholar · View at Scopus
  84. R. Olfati-Saber, “Flocking for multi-agent dynamic systems: algorithms and theory,” IEEE Transactions on Automatic Control, vol. 51, no. 3, pp. 401–420, 2006. View at Publisher · View at Google Scholar
  85. B. Shen, Z. Wang, and X. Liu, “A stochastic sampled-data approach to distributed H filtering in sensor networks,” IEEE Transactions on Circuits and Systems I, vol. 58, no. 9, pp. 2237–2246, 2011. View at Publisher · View at Google Scholar
  86. B. Shen, Z. Wang, and Y. S. Hung, “Distributed consensus H filtering in sensor networks with multiple missing measurements: the finite-horizon case,” Automatica, vol. 46, no. 10, pp. 1682–1688, 2010. View at Publisher · View at Google Scholar
  87. B. Shen, Z. Wang, Y. S. Hung, and G. Chesi, “Distributed H filtering for polynomial nonlinear stochastic systems in sensor networks,” IEEE Transactions on Industrial Electronics, vol. 58, no. 5, pp. 1971–1979, 2011. View at Publisher · View at Google Scholar · View at Scopus
  88. W. Yu, G. Chen, Z. Wang, and W. Yang, “Distributed consensus filtering in sensor networks,” IEEE Transactions on Systems, Man, and Cybernetics B, vol. 39, no. 6, pp. 1568–1577, 2009. View at Publisher · View at Google Scholar · View at Scopus
  89. H. Zhang, G. Feng, G. Duan, and X. Lu, “H filtering for multiple-time-delay measurements,” IEEE Transactions on Signal Processing, vol. 54, no. 5, pp. 1681–1688, 2006. View at Publisher · View at Google Scholar · View at Scopus
  90. F. S. Cattivelli and A. H. Sayed, “Diffusion strategies for distributed Kalman filtering: formulation and performance analysis,” in Proceedings of the Cognitive Information Processing, pp. 36–41, Santorini, Greece, 2008.
  91. R. Carli, A. Chiuso, L. Schenato, and S. Zampieri, “Distributed Kalman filtering based on consensus strategies,” IEEE Journal on Selected Areas in Communications, vol. 26, no. 4, pp. 622–633, 2008. View at Publisher · View at Google Scholar · View at Scopus
  92. R. Olfati-Saber, “Distributed Kalman filtering for sensor networks,” in Proceedings of the 46th IEEE Conference on Decision and Control (CDC '07), pp. 5492–5498, New Orleans, La, USA, December 2007. View at Publisher · View at Google Scholar · View at Scopus
  93. R. Olfati-Saber and J. S. Shamma, “Consensus filters for sensor networks and distributed sensor fusion,” in Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference (CDC-ECC '05), pp. 6698–6703, Seville, Spain, December 2005. View at Publisher · View at Google Scholar · View at Scopus
  94. V. A. Ugrinovskii, “Distributed robust filtering with H consensus of estimates,” in Proceedings of the American Control Conference (ACC '10), pp. 1374–1379, July 2010. View at Scopus
  95. H. Dong, Z. Wang, and H. Gao, “H filtering for systems with repeated scalar nonlinearities under unreliable communication links,” Signal Processing, vol. 89, no. 8, pp. 1567–1575, 2009. View at Publisher · View at Google Scholar · View at Scopus
  96. H. Dong, Z. Wang, and H. Gao, “Observer-based H control for systems with repeated scalar nonlinearities and multiple packet losses,” International Journal of Robust and Nonlinear Control, vol. 20, no. 12, pp. 1363–1378, 2010. View at Zentralblatt MATH
  97. H. Dong, Z. Wang, and H. Gao, “Robust H filtering for a class of nonlinear networked systems with multiple stochastic communication delays and packet dropouts,” IEEE Transactions on Signal Processing, vol. 58, no. 4, pp. 1957–1966, 2010. View at Publisher · View at Google Scholar
  98. H. Dong, Z. Wang, D. W. C. Ho, and H. Gao, “Robust H fuzzy output-feedback control with multiple probabilistic delays and multiple missing measurements,” IEEE Transactions on Fuzzy Systems, vol. 18, no. 4, pp. 712–725, 2010. View at Publisher · View at Google Scholar · View at Scopus
  99. Z. Wang, D. W. C. Ho, H. Dong, and H. Gao, “Robust H finite-horizon control for a class of stochastic nonlinear time-varying systems subject to sensor and actuator saturations,” IEEE Transactions on Automatic Control, vol. 55, no. 7, pp. 1716–1722, 2010. View at Publisher · View at Google Scholar
  100. H. Dong, Z. Wang, and H. Gao, “Fault detection for Markovian jump systems with sensor saturations and randomly varying nonlinearities,” IEEE Transactions on Circuits and Systems I, vol. 59, no. 10, pp. 2354–2362, 2012.
  101. H. Dong, Z. Wang, J. Lam, and H. Gao, “Fuzzy-model-based robust fault detection with stochastic mixed time-delays and successive packet dropouts,” IEEE Transactions on Systems, Man, and Cybernetics B, vol. 42, no. 2, pp. 365–376, 2012.
  102. H. Dong, J. Lam, and H. Gao, “Distributed H filtering for repeated scalar nonlinear systems with random packet losses in sensor networks,” International Journal of Systems Science, vol. 42, no. 9, pp. 1507–1519, 2011. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  103. H. Dong, Z. Wang, and H. Gao, “Distributed filtering for a class of time-varying systems over sensor networks with quantization errors and successive packet dropouts,” IEEE Transactions on Signal Processing, vol. 60, no. 6, pp. 3164–3173, 2012. View at Publisher · View at Google Scholar
  104. H. Dong, Z. Wang, and H. Gao, “Distributed H filtering for a class of Markovian jump nonlinear time-delay systems over lossy sensor networks,” IEEE Transactions on Industrial Electronics. In press.
  105. D. Ding, Z. Wang, H. Dong, and H. Shu, “State estimation with stochastic parameters and nonlinearities through sensor networks: the finite-horizon case,” Automatica, vol. 48, no. 8, pp. 1575–1585, 2012.