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Mathematical Problems in Engineering
Volume 2013, Article ID 517258, 8 pages
http://dx.doi.org/10.1155/2013/517258
Research Article

Stability Bound Analysis and Synthesis for Singularly Perturbed Systems with Time-Varying Delay

1Institute of Systems Science, Northeastern University, Shenyang 110819, China
2School of Information and Electrical Engineering, China University of Mining and Technology, Xuzhou 221116, China
3Mathematics Department, Jilin Normal University, Siping 136000, China

Received 22 September 2012; Revised 25 December 2012; Accepted 29 December 2012

Academic Editor: Baocang Ding

Copyright © 2013 Fengqi Sun 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.

Citations to this Article [4 citations]

The following is the list of published articles that have cited the current article.

  • R. Abdeljawad, N. Bahri, and M. Ltaief, “Stability bound analysis of slow sampling discrete-time singularly perturbed systems with time-delay,” 2017 18th International Conference on Sciences and Techniques of Automatic Control and Computer Engineering (STA), pp. 1–5, . View at Publisher · View at Google Scholar
  • Linna Zhou, and Chunyu Yang, “Passive Control and ε-Bound Estimation of Singularly Perturbed Systems with Nonlinear Nonlinearities,” Mathematical Problems in Engineering, vol. 2013, pp. 1–9, 2013. View at Publisher · View at Google Scholar
  • Chenxiao Cai, Yan Zhang, and D. Subbaram Naidu, “Stability analysis and control of Lur'e singularly perturbed uncertain systems,” Chinese Control Conference, CCC, pp. 6090–6094, 2014. View at Publisher · View at Google Scholar
  • Valery Y. Glizer, Emilia Fridman, and Yuri Feigin, “A Novel Approach to Exact Slow-Fast Decomposition of Linear Singularly Perturbed Systems with Small Delays,” SIAM Journal on Control and Optimization, vol. 55, no. 1, pp. 236–274, 2017. View at Publisher · View at Google Scholar