IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v42y2009i3p1800-1811.html
   My bibliography  Save this article

New stability and stabilization for switched neutral control systems

Author

Listed:
  • Xiong, Lianglin
  • Zhong, Shouming
  • Ye, Mao
  • Wu, Shiliang

Abstract

This paper concerns stability and stabilization issues for switched neutral systems and presents new classes of piecewise Lyapunov functionals and multiple Lyapunov functionals, based on which, two new switching rules are introduced to stabilize the neutral systems. One switching rule is designed from the solution of the so-called Lyapunov–Metzler linear matrix inequalities. The other is based on the determination of average dwell time computed from a new class of linear matrix inequalities (LMIs). And then, state-feedback control is derived for the switched neutral control system mainly based on the state switching rules. Finally, three examples are given to demonstrate the effectiveness of the proposed method.

Suggested Citation

  • Xiong, Lianglin & Zhong, Shouming & Ye, Mao & Wu, Shiliang, 2009. "New stability and stabilization for switched neutral control systems," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1800-1811.
    • Handle: RePEc:eee:chsofr:v:42:y:2009:i:3:p:1800-1811
    DOI: 10.1016/j.chaos.2009.03.093
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077909002136
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2009.03.093?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. J. D. Chen, 2007. "Robust H ∞ Output Dynamic Observer-Based Control Design of Uncertain Neutral Systems," Journal of Optimization Theory and Applications, Springer, vol. 132(1), pages 193-211, January.
    2. Cervantes, I. & Femat, R. & Leyva-Ramos, J., 2007. "Study of a class of hybrid-time systems," Chaos, Solitons & Fractals, Elsevier, vol. 32(3), pages 1081-1095.
    3. Park, Ju H. & Kwon, O., 2005. "Controlling uncertain neutral dynamic systems with delay in control input," Chaos, Solitons & Fractals, Elsevier, vol. 26(3), pages 805-812.
    4. Chen, Jenq-Der, 2007. "Robust output observer-based control of neutral uncertain systems with discrete and distributed time delays: LMI optimization approach," Chaos, Solitons & Fractals, Elsevier, vol. 34(4), pages 1254-1264.
    5. Chen, Jenq-Der, 2007. "Delay-dependent robust H∞ control of uncertain neutral systems with state and input delays: LMI optimization approach," Chaos, Solitons & Fractals, Elsevier, vol. 33(2), pages 595-606.
    6. Tian, Junkang & Xiong, Lianglin & Liu, Jianxing & Xie, Xiangjun, 2009. "Novel delay-dependent robust stability criteria for uncertain neutral systems with time-varying delay," Chaos, Solitons & Fractals, Elsevier, vol. 40(4), pages 1858-1866.
    7. Xiong, Lianglin & Zhong, Shouming & Tian, Junkang, 2009. "New robust stability condition for uncertain neutral systems with discrete and distributed delays," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 1073-1079.
    8. Chen, Jenq-Der, 2007. "Robust H∞ output dynamic observer-based control of uncertain time-delay systems," Chaos, Solitons & Fractals, Elsevier, vol. 31(2), pages 391-403.
    9. Lien, Chang-Hua, 2007. "Non-fragile guaranteed cost control for uncertain neutral dynamic systems with time-varying delays in state and control input," Chaos, Solitons & Fractals, Elsevier, vol. 31(4), pages 889-899.
    10. Xiong, Lianglin & Zhong, Shouming & Tian, Junkang, 2009. "Novel robust stability criteria of uncertain neutral systems with discrete and distributed delays," Chaos, Solitons & Fractals, Elsevier, vol. 40(2), pages 771-777.
    11. Guan, Zhi-Hong & Zhang, Hao, 2008. "Stabilization of complex network with hybrid impulsive and switching control," Chaos, Solitons & Fractals, Elsevier, vol. 37(5), pages 1372-1382.
    12. Park, Ju H., 2002. "Stability criterion for neutral differential systems with mixed multiple time-varying delay arguments," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 59(5), pages 401-412.
    13. Liu, Xinzhi & Teo, Kok-Lay & Zhang, Hongtao & Chen, Guanrong, 2006. "Switching control of linear systems for generating chaos," Chaos, Solitons & Fractals, Elsevier, vol. 30(3), pages 725-733.
    14. Yu, Ker-Wei & Lien, Chang-Hua, 2008. "Stability criteria for uncertain neutral systems with interval time-varying delays," Chaos, Solitons & Fractals, Elsevier, vol. 38(3), pages 650-657.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Karimi, Hamid Reza & Zapateiro, Mauricio & Luo, Ningsu, 2009. "Stability analysis and control synthesis of neutral systems with time-varying delays and nonlinear uncertainties," Chaos, Solitons & Fractals, Elsevier, vol. 42(1), pages 595-603.
    2. Qiu, Fang & Cui, Baotong & Ji, Yan, 2009. "Novel robust stability analysis for uncertain neutral system with mixed delays," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1820-1828.
    3. Tsai, Shun-Hung & Li, Tzuu-Hseng S., 2009. "Robust fuzzy control of a class of fuzzy bilinear systems with time-delay," Chaos, Solitons & Fractals, Elsevier, vol. 39(5), pages 2028-2040.
    4. Xiong, Lianglin & Zhong, Shouming & Tian, Junkang, 2009. "New robust stability condition for uncertain neutral systems with discrete and distributed delays," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 1073-1079.
    5. Zhang, Jinhui & Shi, Peng & Yang, Hongjiu, 2009. "Non-fragile robust stabilization and H∞ control for uncertain stochastic nonlinear time-delay systems," Chaos, Solitons & Fractals, Elsevier, vol. 42(5), pages 3187-3196.
    6. Park, Ju H. & Kwon, O.M., 2009. "Global stability for neural networks of neutral-type with interval time-varying delays," Chaos, Solitons & Fractals, Elsevier, vol. 41(3), pages 1174-1181.
    7. Hu, Dandan & Tan, Jieqing & Shi, Kaibo & Ding, Kui, 2022. "Switching synchronization of reaction-diffusion neural networks with time-varying delays," Chaos, Solitons & Fractals, Elsevier, vol. 155(C).
    8. Rajavel, S. & Samidurai, R. & Cao, Jinde & Alsaedi, Ahmed & Ahmad, Bashir, 2017. "Finite-time non-fragile passivity control for neural networks with time-varying delay," Applied Mathematics and Computation, Elsevier, vol. 297(C), pages 145-158.
    9. Li, Ping & Zhong, Shou-ming & Cui, Jin-zhong, 2009. "Delay-dependent robust BIBO stabilization of uncertain system via LMI approach," Chaos, Solitons & Fractals, Elsevier, vol. 40(2), pages 1021-1028.
    10. Huiyuan Shi & Ping Li & Chengli Su & Jingxian Yu, 2019. "Fuzzy Predictive Fault-Tolerant Control for Time-Delay Nonlinear Systems with Partial Actuator Failures," Complexity, Hindawi, vol. 2019, pages 1-20, August.
    11. Zhu, Wenli & Yi, Zhang, 2007. "Integral input-to-state stability of nonlinear control systems with delays," Chaos, Solitons & Fractals, Elsevier, vol. 34(2), pages 420-427.
    12. Sun, Fengyun & Zhao, Yi & Zhou, Tianshou, 2007. "Identify fully uncertain parameters and design controllers based on synchronization," Chaos, Solitons & Fractals, Elsevier, vol. 34(5), pages 1677-1682.
    13. Lien, Chang-Hua, 2007. "Non-fragile guaranteed cost control for uncertain neutral dynamic systems with time-varying delays in state and control input," Chaos, Solitons & Fractals, Elsevier, vol. 31(4), pages 889-899.
    14. Gluskin, Emanuel, 2009. "On one interesting case of switching nonlinearity," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 1870-1872.
    15. Zhao, Yi & Xie, Lingli & Yiu, K.F. Cedric, 2009. "An improvement on Marotto’s theorem and its applications to chaotification of switching systems," Chaos, Solitons & Fractals, Elsevier, vol. 39(5), pages 2225-2232.
    16. Qian, Wei & Liu, Juan & Sun, Youxian & Fei, Shumin, 2010. "A less conservative robust stability criteria for uncertain neutral systems with mixed delays," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 80(5), pages 1007-1017.
    17. Shen, Yi & Pei, Wenjiang & Wang, Kai & Li, Tao & Wang, Shaoping, 2008. "Recursive filtration method for detecting community structure in networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(26), pages 6663-6670.
    18. Li, Ping & Zhong, Shou-Ming & Cui, Jin-Zhong, 2009. "Stability analysis of linear switching systems with time delays," Chaos, Solitons & Fractals, Elsevier, vol. 40(1), pages 474-480.
    19. Shen, Chang-Chun & Zhong, Shou-Ming, 2009. "New delay-dependent robust stability criterion for uncertain neutral systems with time-varying delay and nonlinear uncertainties," Chaos, Solitons & Fractals, Elsevier, vol. 40(5), pages 2277-2285.
    20. Wenyong Duan & Baozhu Du & Jing You & Yun Zou, 2015. "Improved robust stability criteria for a class of Lur'e systems with interval time-varying delays and sector-bounded nonlinearity," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(5), pages 944-954, April.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:chsofr:v:42:y:2009:i:3:p:1800-1811. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.