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Abstract and Applied Analysis
Volume 2015, Article ID 471362, 8 pages
http://dx.doi.org/10.1155/2015/471362
Research Article

Analysis of the Structured Perturbation for the BCSCB Linear System

1Department of Mathematics, Linyi University, Linyi, Shandong 276000, China
2Department of Mathematics, Shandong Normal University, Jinan, Shandong 250014, China

Received 22 July 2014; Accepted 10 September 2014

Academic Editor: Zidong Wang

Copyright © 2015 Xia Tang and Zhaolin Jiang. 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. T. N. Khokhlova and M. M. Kipnis, “The breaking of a delayed ring neural network contributes to stability: the rule and exceptions,” Neural Networks, vol. 48, pp. 148–152, 2013. View at Publisher · View at Google Scholar · View at Scopus
  2. M. Bašić, “Characterization of quantum circulant networks having perfect state transfer,” Quantum Information Processing, vol. 12, no. 1, pp. 345–364, 2013. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  3. P. Frasca, R. Carli, F. Fagnani, and S. Zampieri, “Average consensus on networks with quantized communication,” International Journal of Robust and Nonlinear Control, vol. 19, no. 16, pp. 1787–1816, 2009. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  4. V. Puttagunta and K. Kalpakis, “Accuracy vs. lifetime: linear sketches for aggregate queries in sensor networks,” Algorithmica, vol. 49, no. 4, pp. 357–385, 2007. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  5. R. Happel, R. Hecht, and P. F. Stadler, “Autocatalytic networks with translation,” Bulletin of Mathematical Biology, vol. 58, no. 5, pp. 877–905, 1996. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  6. D. Gómez, J. Gutierrez, and Á. Ibeas, “Optimal routing in double loop networks,” Theoretical Computer Science, vol. 381, no. 1–3, pp. 68–85, 2007. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  7. J. L. Rigal and J. Gaches, “On the compatibility of a given solution with the data of a linear system,” Journal of the Association for Computing Machinery, vol. 14, pp. 543–548, 1967. View at Publisher · View at Google Scholar · View at MathSciNet
  8. J. Li, Z. Jiang, N. Shen, and J. Zhou, “On optimal backward perturbation analysis for the linear system with skew circulant coefficient matrix,” Computational and Mathematical Methods in Medicine, vol. 2013, Article ID 707381, 7 pages, 2013. View at Publisher · View at Google Scholar · View at MathSciNet
  9. X. Liu and X. Guo, “On optimal backward perturbation analysis for the linear system with block cyclic coefficient matrix,” Numerical Mathematics, vol. 12, no. 2, pp. 162–172, 2003. View at Google Scholar · View at MathSciNet
  10. J.-G. Sun and Z. Sun, “Optimal backward perturbation bounds for underdetermined systems,” SIAM Journal on Matrix Analysis and Applications, vol. 18, no. 2, pp. 393–402, 1997. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  11. Z. Jiang, J. Li, and J. Zhou, “Optimal backward perturbation analysis for the block skew circulant linear systems with skew circulant blocks,” Abstract and Applied Analysis, vol. 2014, Article ID 523102, 8 pages, 2014. View at Publisher · View at Google Scholar · View at MathSciNet
  12. Z. L. Jiang and Z. X. Zhou, Circulant Matrix, Chengdu Technology University, Chengdu, China, 1999.
  13. Z. L. Jiang and Z. X. Zhou, “Nonsingularity on level-2(r1, r2)-circulant matrices of type (m,n),” Chinese Quarterly Journal of Mathematics, vol. 11, no. 2, pp. 106–110, 1996. View at Google Scholar
  14. R. A. Horn and C. R. Johnson, Matrix Analysis, Posts and Telecom Press, 2005.
  15. 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, vol. 60, no. 10, pp. 4665–4672, 2013. View at Publisher · View at Google Scholar · View at Scopus
  16. Z. Wang, H. Dong, B. Shen, and H. Gao, “Finite-horizon H\sb filtering with missing measurements and quantization effects,” IEEE Transactions on Automatic Control, vol. 58, no. 7, pp. 1707–1718, 2013. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  17. D. Ding, Z. Wang, J. Hu, and H. Shu, “Dissipative control for state-saturated discrete time-varying systems with randomly occurring nonlinearities and missing measurements,” International Journal of Control, vol. 86, no. 4, pp. 674–688, 2013. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus