IDEAS home Printed from https://ideas.repec.org/a/eee/matcom/v59y2002i5p401-412.html
   My bibliography  Save this article

Stability criterion for neutral differential systems with mixed multiple time-varying delay arguments

Author

Listed:
  • Park, Ju H.

Abstract

In this paper, asymptotic stability for neutral delay–differential systems with mixed multiple time-varying delay arguments is investigated. Based on the Lyapunov method, two new stability criteria in terms of linear matrix inequalities (LMIs) are presented to guarantee the stability for the systems. The LMIs can be easily solved by various convex optimization algorithms. Three numerical examples are given to illustrate the proposed methods.

Suggested Citation

  • 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.
  • Handle: RePEc:eee:matcom:v:59:y:2002:i:5:p:401-412
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378475401004207
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    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. H. Park & S. Won, 1999. "Asymptotic Stability of Neutral Systems with Multiple Delays," Journal of Optimization Theory and Applications, Springer, vol. 103(1), pages 183-200, October.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. 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.
    2. Liu, Xin-Ge & Wu, Min & Martin, Ralph & Tang, Mei-Lan, 2007. "Delay-dependent stability analysis for uncertain neutral systems with time-varying delays," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 75(1), pages 15-27.
    3. 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.
    4. Liu, Duyu & Zhong, Shouming & Liu, Xinzhi & Huang, Yuanqing, 2009. "Stability analysis for uncertain switched neutral systems with discrete time-varying delay: A delay-dependent method," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 80(2), pages 436-448.
    5. 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.
    6. 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.

    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. Park, Ju H., 2009. "Synchronization of cellular neural networks of neutral type via dynamic feedback controller," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1299-1304.
    2. J. H. Park & S. M. Lee & H. Y. Jung, 2009. "LMI Optimization Approach to Synchronization of Stochastic Delayed Discrete-Time Complex Networks," Journal of Optimization Theory and Applications, Springer, vol. 143(2), pages 357-367, November.
    3. K.K. Fan & C.H. Lien & J.G. Hsieh, 2002. "Asymptotic Stability for a Class of Neutral Systems with Discrete and Distributed Time Delays," Journal of Optimization Theory and Applications, Springer, vol. 114(3), pages 705-716, September.
    4. D. H. Ji & Ju H. Park & S. M. Lee & J. H. Koo & S. C. Won, 2010. "Synchronization Criterion for Lur’e Systems via Delayed PD Controller," Journal of Optimization Theory and Applications, Springer, vol. 147(2), pages 298-317, November.
    5. O. M. Kwon & J. H. Park & S. M. Lee, 2008. "Exponential Stability for Uncertain Dynamic Systems with Time-Varying Delays: LMI Optimization Approach," Journal of Optimization Theory and Applications, Springer, vol. 137(3), pages 521-532, June.
    6. Lien, Chang-Hua, 2007. "Delay-dependent and delay-independent guaranteed cost control for uncertain neutral systems with time-varying delays via LMI approach," Chaos, Solitons & Fractals, Elsevier, vol. 33(3), pages 1017-1027.
    7. Liu, Xin-Ge & Wu, Min & Martin, Ralph & Tang, Mei-Lan, 2007. "Delay-dependent stability analysis for uncertain neutral systems with time-varying delays," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 75(1), pages 15-27.
    8. O. M. Kwon & J. H. Park & S. M. Lee, 2010. "An Improved Delay-Dependent Criterion for Asymptotic Stability of Uncertain Dynamic Systems with Time-Varying Delays," Journal of Optimization Theory and Applications, Springer, vol. 145(2), pages 343-353, May.
    9. He, Shuping & Liu, Fei, 2013. "L2–L∞ fuzzy control for Markov jump systems with neutral time-delays," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 92(C), pages 1-13.
    10. Xiong, Wenjun & Liang, Jinling, 2007. "Novel stability criteria for neutral systems with multiple time delays," Chaos, Solitons & Fractals, Elsevier, vol. 32(5), pages 1735-1741.
    11. J. H. Park, 2005. "Delay-Dependent Criterion for Guaranteed Cost Control of Neutral Delay Systems," Journal of Optimization Theory and Applications, Springer, vol. 124(2), pages 491-502, February.
    12. O. M. Kwon & J. H. Park, 2008. "Exponential Stability for Time-Delay Systems with Interval Time-Varying Delays and Nonlinear Perturbations," Journal of Optimization Theory and Applications, Springer, vol. 139(2), pages 277-293, November.

    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:matcom:v:59:y:2002:i:5:p:401-412. 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: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/mathematics-and-computers-in-simulation/ .

    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.