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Abstract and Applied Analysis
Volume 2013 (2013), Article ID 524028, 9 pages
Passivity Analysis and Passive Control for T-S Fuzzy Systems with Leakage Delay and Mixed Time-Varying Delays
1Department of Mathematics, Chongqing Jiaotong University, Chongqing 400074, China
2School of Civil Engineering & Architecture, Chongqing Jiaotong University, Chongqing 400074, China
3Department of Mathematics, Huzhou Teachers College, Huzhou 313000, China
Received 17 July 2013; Accepted 24 August 2013
Academic Editor: Xinsong Yang
Copyright © 2013 Ting Lei 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.
- T. Takagi and M. Sugeno, “Fuzzy identification of systems and its applications to modeling and control,” IEEE Transactions on Systems, Man and Cybernetics, vol. 15, no. 1, pp. 116–132, 1985.
- S. Xu, B. Song, J. Lu, and J. Lam, “Robust stability of uncertain discrete-time singular fuzzy systems,” Fuzzy Sets and Systems, vol. 158, no. 20, pp. 2306–2316, 2007.
- C.-L. Chen, G. Feng, and X.-P. Guan, “Delay-dependent stability analysis and controller synthesis for discrete-time T-S fuzzy systems with time delays,” IEEE Transactions on Fuzzy Systems, vol. 13, no. 5, pp. 630–643, 2005.
- X. Liu and H. Zhang, “Delay-dependent robust stability of uncertain fuzzy large-scale systems with time-varying delays,” Automatica, vol. 44, no. 1, pp. 193–198, 2008.
- F. Liu, M. Wu, Y. He, and R. Yokoyama, “New delay-dependent stability criteria for T-S fuzzy systems with time-varying delay,” Fuzzy Sets and Systems, vol. 161, no. 15, pp. 2033–2042, 2010.
- C. Peng and M.-R. Fei, “An improved result on the stability of uncertain T-S fuzzy systems with interval time-varying delay,” Fuzzy Sets and Systems, vol. 212, pp. 97–109, 2013.
- S. Lakshmanan, R. Rakkiyappan, and P. Balasubramaniam, “Global robust stability criteria for T-S fuzzy systems with distributed delays and time delay in the leakage term,” Iranian Journal of Fuzzy Systems, vol. 9, no. 2, pp. 127–146, 2012.
- J. An and G. Wen, “Improved stability criteria for time-varying delayed T-S fuzzy systems via delay partitioning approach,” Fuzzy Sets and Systems, vol. 185, pp. 83–94, 2011.
- L. Wu, X. Su, P. Shi, and J. Qiu, “A new approach to stability analysis and stabilization of discrete-time T-S fuzzy time-varying delay systems,” IEEE Transactions on Systems, Man, and Cybernetics B, vol. 41, no. 1, pp. 273–286, 2011.
- J. Liu and D. Yue, “Asymptotic and robust stability of T-S fuzzy genetic regulatory networks with time-varying delays,” International Journal of Robust and Nonlinear Control, vol. 22, no. 8, pp. 827–840, 2012.
- O. M. Kwon, M. J. Park, S. M. Lee, and J. H. Park, “Augmented Lyapunov-Krasovskii functional approaches to robust stability criteria for uncertain Takagi-Sugeno fuzzy systems with time-varying delays,” Fuzzy Sets and Systems, vol. 201, pp. 1–19, 2012.
- L. Figueredo, J. Ishihara, G. Borges, and A. Bauchspiess, “Delay-dependent robust stability analysis for time-delay T-S fuzzy systems with nonlinear local models,” Journal of Control, Automation and Electrical Systems, vol. 24, no. 1-2, pp. 11–21, 2013.
- F. Ahmida and E. Tissir, “Exponential stability of uncertain T-S fuzzy switched systems with time delay,” International Journal of Automation and Computing, vol. 10, no. 1, pp. 32–38, 2013.
- S.-I. Niculescu and R. Lozano, “On the passivity of linear delay systems,” IEEE Transactions on Automatic Control, vol. 46, no. 3, pp. 460–464, 2001.
- E. Fridman and U. Shaked, “On delay-dependent passivity,” IEEE Transactions on Automatic Control, vol. 47, no. 4, pp. 664–669, 2002.
- M. S. Mahmoud and A. Ismail, “Passivity and passification of time-delay systems,” Journal of Mathematical Analysis and Applications, vol. 292, no. 1, pp. 247–258, 2004.
- C. Li and X. Liao, “Passivity analysis of neural networks with time delay,” IEEE Transactions on Circuits and Systems II, vol. 52, no. 8, pp. 471–475, 2005.
- J. H. Park, “Further results on passivity analysis of delayed cellular neural networks,” Chaos, Solitons and Fractals, vol. 34, no. 5, pp. 1546–1551, 2007.
- H. Gao, T. Chen, and T. Chai, “Passivity and passification for networked control systems,” SIAM Journal on Control and Optimization, vol. 46, no. 4, pp. 1299–1322, 2007.
- E. M. Navarro-López and E. Fossas-Colet, “Feedback passivity of nonlinear discrete-time systems with direct input-output link,” Automatica, vol. 40, no. 8, pp. 1423–1428, 2004.
- G. Calcev, R. Gorez, and M. De Neyer, “Passivity approach to fuzzy control systems,” Automatica, vol. 34, no. 3, pp. 339–344, 1998.
- Q. Song, Z. Wang, and J. Liang, “Analysis on passivity and passification of T-S fuzzy systems with time-varying delays,” Journal of Intelligent & Fuzzy Systems, vol. 24, no. 1, pp. 21–30, 2013.
- C. Li, H. Zhang, and X. Liao, “Passivity and passification of fuzzy systems with time delays,” Computers & Mathematics with Applications, vol. 52, no. 6-7, pp. 1067–1078, 2006.
- X. Liu, “Passivity and passification analysis of uncertain discrete-time fuzzy systems,” Kybernetes, vol. 38, no. 3-4, pp. 396–405, 2009.
- B. Zhang, W. X. Zheng, and S. Xu, “Passivity analysis and passive control of fuzzy systems with time-varying delays,” Fuzzy Sets and Systems, vol. 174, pp. 83–98, 2011.
- K. Gopalsamy, “Leakage delays in BAM,” Journal of Mathematical Analysis and Applications, vol. 325, no. 2, pp. 1117–1132, 2007.
- K. Gu, V. L. Kharitonov, and J. Chen, Stability of Time-Delay Systems, Birkhauser, Boston, Mass, USA, 2003.