Table of Contents Author Guidelines Submit a Manuscript
Complexity
Volume 2017, Article ID 6581308, 22 pages
https://doi.org/10.1155/2017/6581308
Research Article

Nonfragile Finite-Time Extended Dissipative Control for a Class of Uncertain Switched Neutral Systems

1School of Mathematics Science, Liaocheng University, Liaocheng 252000, China
2College of Information Science and Engineering, Shandong University of Science and Technology, Qingdao 266590, China
3School of Mechanical and Automotive Engineering, Liaocheng University, Liaocheng 252000, China

Correspondence should be addressed to Jianwei Xia; moc.621@wjxtsujn

Received 5 April 2017; Accepted 16 September 2017; Published 14 November 2017

Academic Editor: Sigurdur F. Hafstein

Copyright © 2017 Hui Gao 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. S. Wang, T. Shi, L. Zhang, A. Jasra, and M. Zeng, “Extended finite-time control for uncertain switched linear neutral systems with time-varying delays,” Neurocomputing, vol. 152, pp. 377–387, 2015. View at Publisher · View at Google Scholar · View at Scopus
  2. X. Zhao, Y. Yin, and X. Zheng, “State-dependent switching control of switched positive fractional-order systems,” ISA Transactions, pp. 103–108, 2016. View at Publisher · View at Google Scholar · View at Scopus
  3. X. Zhao, P. Shi, and L. Zhang, “Asynchronously switched control of a class of slowly switched linear systems,” Systems & Control Letters, vol. 61, no. 12, pp. 1151–1156, 2012. View at Publisher · View at Google Scholar · View at MathSciNet
  4. L. Zhang, S. Zhuang, and R. D. Braatz, “Switched model predictive control of switched linear systems: feasibility, stability and robustness,” Automatica, vol. 67, pp. 8–21, 2016. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  5. X. Zhao, X. Liu, S. Yin, and H. Li, “Improved results on stability of continuous-time switched positive linear systems,” Automatica, vol. 50, no. 2, pp. 614–621, 2014. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  6. J. Xia, J. H. Park, and H. Zeng, “Improved delay-dependent robust stability analysis for neutral-type uncertain neural networks with Markovian jumping parameters and time-varying delays,” Neurocomputing, vol. 149, pp. 1198–1205, 2015. View at Publisher · View at Google Scholar
  7. J. Xia, J. H. Park, H. Zeng, and H. Shen, “Delay-difference-dependent robust exponential stability for uncertain stochastic neural networks with multiple delays,” Neurocomputing, vol. 140, pp. 210–218, 2014. View at Publisher · View at Google Scholar · View at Scopus
  8. Z. Wang, X. Huang, and J. Zhou, “A numerical method for delayed fractional-order differential equations: based on G-L definition,” Applied Mathematics & Information Sciences, vol. 7, no. 2L, pp. 525–529, 2013. View at Publisher · View at Google Scholar · View at MathSciNet
  9. Z. Wang, X. Huang, and G. Shi, “Analysis of nonlinear dynamics and chaos in a fractional order financial system with time delay,” Computers & Mathematics with Applications, vol. 62, no. 3, pp. 1531–1539, 2011. View at Publisher · View at Google Scholar · View at MathSciNet
  10. Y. Zhang, X. 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 MathSciNet · View at Scopus
  11. D. Zhang and L. Yu, “Exponential stability analysis for neutral switched systems with interval time-varying mixed delays and nonlinear perturbations,” Nonlinear Analysis: Hybrid Systems, vol. 6, no. 2, pp. 775–786, 2012. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  12. 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 MathSciNet · View at Scopus
  13. Y. Zhang, H. Zhu, X. Liu, and S. Zhong, “Reliable control for a class of switched neutral systems,” Complex System and Applications: Modeling, Control and Simulations, vol. 14, supplement 2, pp. 1724–1729, 2007. View at Google Scholar
  14. Y.-E. Wang, J. Zhao, and B. Jiang, “Stabilization of a class of switched linear neutral systems under asynchronous switching,” Institute of Electrical and Electronics Engineers Transactions on Automatic Control, vol. 58, no. 8, pp. 2114–2119, 2013. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  15. Z. Zhang, Z. Zhang, and H. Zhang, “Finite-time stability analysis and stabilization for uncertain continuous-time system with time-varying delay,” Journal of The Franklin Institute, vol. 352, no. 3, pp. 1296–1317, 2015. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  16. H. Liu and X. Zhao, “Finite-time control of switched systems with mode-dependent average dwell time,” Journal of The Franklin Institute, vol. 351, no. 3, pp. 1301–1315, 2014. View at Publisher · View at Google Scholar · View at MathSciNet
  17. X. Lin, H. Du, and S. Li, “Finite-time boundedness and -gain analysis for switched delay systems with norm-bounded disturbance,” Applied Mathematics and Computation, vol. 217, no. 12, pp. 5982–5993, 2011. View at Publisher · View at Google Scholar · View at MathSciNet
  18. S. He and F. Liu, “Stochastic finite-time boundedness of Markovian jumping neural network with uncertain transition probabilities,” Applied Mathematical Modelling, vol. 35, no. 6, pp. 2631–2638, 2011. View at Publisher · View at Google Scholar · View at MathSciNet
  19. H. Liu, Y. Shen, and X. Zhao, “Finite-time stabilization and boundedness of switched linear system under state-dependent switching,” Journal of The Franklin Institute, vol. 350, no. 3, pp. 541–555, 2013. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  20. Z. Xiang, Y.-N. Sun, and M. S. Mahmoud, “Robust finite-time control for a class of uncertain switched neutral systems,” Communications in Nonlinear Science and Numerical Simulation, vol. 17, no. 4, pp. 1766–1778, 2012. View at Publisher · View at Google Scholar · View at MathSciNet
  21. K. Mathiyalagan, J. H. Park, H. Y. Jung, and R. Sakthivel, “Non-fragile observer-based control for discrete-time systems using passivity theory,” Circuits, Systems and Signal Processing, vol. 34, no. 8, pp. 2499–2516, 2015. View at Publisher · View at Google Scholar · View at MathSciNet
  22. Y.-Q. Wu, H. Su, R. Lu, Z.-G. Wu, and Z. Shu, “Passivity-based non-fragile control for Markovian jump systems with aperiodic sampling,” Systems & Control Letters, vol. 84, pp. 35–43, 2015. View at Publisher · View at Google Scholar · View at MathSciNet
  23. D. Yue and J. Lam, “Non-fragile guaranteed cost control for uncertain descriptor systems with time-varying state and input delays,” Optimal Control Applications and Methods, vol. 26, no. 2, pp. 85–105, 2005. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  24. G.-H. Yang and J. L. Wang, “Non-fragile control for linear systems with multiplicative controller gain variations,” Automatica, vol. 37, no. 5, pp. 727–737, 2001. View at Publisher · View at Google Scholar · View at Scopus
  25. B. Zhang, W. X. Zheng, and S. Xu, “Filtering of Markovian jump delay systems based on a new performance index,” IEEE Transactions on Circuits and Systems I: Regular Papers, vol. 60, no. 5, pp. 1250–1263, 2013. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  26. J. Xiao, Y. Li, S. Zhong, and F. Xu, “Extended dissipative state estimation for memristive neural networks with time-varying delay,” ISA Transactions, vol. 64, pp. 113–128, 2016. View at Publisher · View at Google Scholar · View at Scopus
  27. H. Yang, L. Shu, S. Zhong, and X. Wang, “Extended dissipative exponential synchronization of complex dynamical systems with coupling delay and sampled-data control,” Journal of The Franklin Institute, vol. 353, no. 8, pp. 1829–1847, 2016. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  28. H. Wei, R. Li, C. Chen, and Z. Tu, “Extended dissipative analysis for memristive neural networks with two additive time-varying delay components,” Neurocomputing, vol. 216, pp. 429–438, 2016. View at Publisher · View at Google Scholar · View at Scopus
  29. H. Shen, Y. Zhu, L. Zhang, and J. H. Park, “Extended dissipative state estimation for Markov jump neural networks with unreliable links,” IEEE Transactions on Neural Networks and Learning Systems, vol. 28, no. 2, pp. 346–358, 2017. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  30. T. H. Lee, M.-J. Park, J. H. Park, O.-M. Kwon, and S.-M. Lee, “Extended dissipative analysis for neural networks with time-varying delays,” IEEE Transactions on Neural Networks and Learning Systems, vol. 25, no. 10, pp. 1936–1941, 2014. View at Publisher · View at Google Scholar · View at Scopus
  31. S. Lakshmanan, J. H. Park, H. Y. Jung, O. M. Kwon, and R. Rakkiyappan, “A delay partitioning approach to delay-dependent stability analysis for neutral type neural networks with discrete and distributed delays,” Neurocomputing, vol. 111, pp. 81–89, 2013. View at Publisher · View at Google Scholar · View at Scopus
  32. L. Xie, “Output feedback control of systems with parameter uncertainty,” International Journal of Control, vol. 63, no. 4, pp. 741–750, 1996. View at Publisher · View at Google Scholar · View at MathSciNet
  33. Y. Y. Wang, L. Xie, and C. E. de Souza, “Robust control of a class of uncertain nonlinear systems,” Systems & Control Letters, vol. 19, no. 2, pp. 139–149, 1992. View at Publisher · View at Google Scholar · View at MathSciNet
  34. J. Cheng, J. H. Park, Y. Liu, Z. Liu, and L. Tang, “Finite-time fuzzy control of nonlinear Markovian jump delayed systems with partly uncertain transition descriptions,” Fuzzy Sets and Systems, vol. 314, pp. 99–115, 2017. View at Publisher · View at Google Scholar · View at MathSciNet
  35. J. Cheng, J. H. Park, L. Zhang, and Y. Zhu, “An Asynchronous Operation Approach to Event-triggered Control for Fuzzy Markovian Jump Systems with General Switching Policies,” IEEE Transactions on Fuzzy Systems, pp. 1–1. View at Publisher · View at Google Scholar
  36. B. Wang, J. Cheng, A. Al-Barakati, and H. M. Fardoun, “A mismatched membership function approach to sampled-data stabilization for T-S fuzzy systems with time-varying delayed signals,” Signal Processing, vol. 140, pp. 161–170, 2017. View at Publisher · View at Google Scholar
  37. B. Wang, J. Cheng, and J. Zhan, “A sojourn probability approach to fuzzy-model-based reliable control for switched systems with mode-dependent time-varying delays,” Nonlinear Analysis: Hybrid Systems, vol. 26, pp. 239–253, 2017. View at Publisher · View at Google Scholar · View at MathSciNet