Table of Contents Author Guidelines Submit a Manuscript
Mathematical Problems in Engineering
Volume 2013, Article ID 537249, 9 pages
http://dx.doi.org/10.1155/2013/537249
Research Article

Design of Filter for a Class of Switched Linear Neutral Systems

1School of Equipment Engineering, Shenyang Ligong University, Shenyang 110159, China
2College of Mathematics and Information Science, Shaanxi Normal University, Xi’an 710062, China

Received 15 July 2013; Revised 15 September 2013; Accepted 15 September 2013

Academic Editor: Hossein Jafari

Copyright © 2013 Caiyun Wu and Yue-E. Wang. 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. X. M. Sun and W. Wang, “Integral input-to-state stability for hybrid delayed systems with unstable continuous dynamics,” Automatica, vol. 48, no. 9, pp. 2359–2364, 2012. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  2. H. Jia, H. R. Karimi, and Z. Xiang, “Dynamic output feedback passive control of uncertain switched stochastic systems with time-varying delay,” Mathematical Problems in Engineering, vol. 2013, Article ID 281747, 10 pages, 2013. View at Publisher · View at Google Scholar · View at MathSciNet
  3. L. Vu and M. A. Kristi, “Stability of time-delay feedback switched linear systems,” IEEE Transactions on Automatic Control, vol. 55, no. 10, pp. 2385–2389, 2010. View at Google Scholar · View at MathSciNet
  4. J. Liu, X. Liu, and W. C. Xie, “Input-to-state stability of impulsive and switching hybrid systems with time-delay,” Automatica, vol. 47, no. 5, pp. 899–908, 2011. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  5. Y. E. Wang, X. M. Sun, and J. Zhao, “Asynchronous H control of switched delay systems with average dwell time,” Journal of the Franklin Institute, vol. 349, no. 10, pp. 3159–3169, 2012. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  6. J. Cheng, H. Zhu, S. M. Zhong, and Y. P. Zhang, “Robust stability of switched delay systems with average dwell time under asynchronous switching,” Journal of Applied Mathematics, vol. 2012, Article ID 956370, 17 pages, 2012. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  7. J. Cheng, H. Zhu, S. M. Zhong, and G. H. Li, “Novel delay-dependent robust stability criteria for neutral systems with mixed time-varying delays and nonlinear perturbations,” Applied Mathematics and Computation, vol. 219, no. 14, pp. 7741–7753, 2013. View at Publisher · View at Google Scholar · View at MathSciNet
  8. C. Y. Wu, C. S. Li, and J. Zhao, “Switching-based state tracking of modelreference adaptive control systems in the presence of intermittent failuresof all actuators,” International Journal of Adaptive Control and Signal Processing, 2013. View at Publisher · View at Google Scholar
  9. J. Lin and C. Fan, “Exponential admissibility and dynamic output feedback control of switched singular systems with interval time-varying delay,” Mathematical Problems in Engineering, vol. 2010, Article ID 680382, 21 pages, 2010. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  10. X. M. Sun, J. Fu, H. F. Sun, and J. Zhao, “Stability of linear switchedneutral delay systems,” Proceedings of the Chinese Society for Electrical Engineering, vol. 25, no. 23, pp. 42–46, 2005. View at Google Scholar
  11. B. Saldivar, S. Mondié, J. J. Loiseau, and V. Rasvan, “Exponential stability analysis of the drilling system described by a switched neutral type delay equation with nonlinear perturbations,” in Proceeding of the 50th IEEE Conference on Decision and Control and European Control Conference (CDC-ECC '11), Orlando, Fla, USA, December, 2011.
  12. T. F. Li, G. M. Dimirovski, Y. Y. Liu, and J. Zhao, “Improved stability of a class of switched neutral systems via Lyapunov-Krasovskii functionals and an average dwell-time scheme,” International Journal of Systems Science, vol. 44, no. 6, pp. 1076–1088, 2013. View at Publisher · View at Google Scholar · View at MathSciNet
  13. Y. E. Wang, J. Zhao, and B. Jiang, “Stabilization of a class of switchedlinear neutral systems under asynchronous switching,” IEEE Transactionson Automatic Control, vol. 58, no. 8, pp. 2114–2119, 2013. View at Publisher · View at Google Scholar
  14. D. Y. Liu, X. Z. Liu, and S. M. Zhong, “Delay-dependent robust stability and control synthesis for uncertain switched neutral systems with mixed delays,” Applied Mathematics and Computation, vol. 202, no. 2, pp. 828–839, 2008. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  15. C. H. Lien, K. W. Yu, Y. J. Chung, Y. F. Lin, L. Y. Chung, and J. D. Chen, “Exponential stability analysis for uncertain switched neutral systems with interval-time-varying state delay,” Nonlinear Analysis: Hybrid Systems, vol. 3, no. 3, pp. 334–342, 2009. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  16. Y. P. Zhang, X. Z. Liu, H. Zhu, and S. Zhong, “Stability analysis and control synthesis for a class of switched neutral systems,” Applied Mathematics and Computation, vol. 190, no. 2, pp. 1258–1266, 2007. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  17. J. C. Geromel and P. Colaneri, “Stability and stabilization of continuous-time switched linear systems,” SIAM Journal on Control and Optimization, vol. 45, no. 5, pp. 1915–1930, 2006. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  18. L. L. Xiong, S. M. Zhong, Y. Mao, and S. L. Wu, “New stability and stabilization for switched neutral control systems,” Chaos, Solitons & Fractals, vol. 42, no. 3, pp. 1800–1811, 2009. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  19. J. Cheng, H. Zhu, S. M. Zhong, Y. P. Zhang, and Y. Zeng, “Finite-timestabilization of H filtering for switched stochastic systems,” Circuits, Systems, and Signal Processing, vol. 32, no. 4, pp. 1595–1613, 2013. View at Publisher · View at Google Scholar
  20. J. Cheng, H. Zhu, S. M. Zhong, and Y. P. Zhang, “Finite-time boundness of H filtering for switching discrete-time systems,” International Journal of Control, Automation, and Systems, vol. 10, no. 6, pp. 1129–1135, 2012. View at Publisher · View at Google Scholar
  21. A. Alif, M. Darouach, and M. Boutayeb, “Design of robust H reduced-order unknown-input filter for a class of uncertain linear neutral systems,” IEEE Transactions on Automatic Control, vol. 55, no. 1, pp. 6–19, 2010. View at Publisher · View at Google Scholar · View at MathSciNet
  22. X. M. Zhang and Q. L. Han, “Stability analysis and H filtering for delay differential systems of neutral type,” IET Control Theory & Applications, vol. 1, no. 3, pp. 749–755, 2007. View at Publisher · View at Google Scholar · View at MathSciNet
  23. E. Fridman and U. Shaked, “An improved delay-dependent H filtering of linear neutral systems,” IEEE Transactions on Signal Processing, vol. 52, no. 3, pp. 668–673, 2004. View at Publisher · View at Google Scholar · View at MathSciNet
  24. H. Y. Li and C. W. Yang, “Robust H filtering for uncertain linearneutral delay systems,” in Proceedings of the American Control Conference, pp. 2252–2255, Minneapolis, Minn, USA, 2006. View at Publisher · View at Google Scholar
  25. X. M. Zhang, M. Wu, J. H. She, and Y. He, “Delay-dependent stabilization of linear systems with time-varying state and input delays,” Automatica, vol. 41, no. 8, pp. 1405–1412, 2005. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  26. D. Liberzon, Switching in Systems and Control, Systems & Control: Foundations & Applications, Birkhäuser, Boston, Mass, USA, 2003. View at Publisher · View at Google Scholar · View at MathSciNet
  27. K. Gu, “An integral inequality in the stability problem of time-delaysystems,” in Proceedings of the 39th IEEE Conference on Control and Decision, pp. 2805–2810, Sydney, Australia, December 2000.