IDEAS home Printed from https://ideas.repec.org/a/taf/tsysxx/v45y2014i11p2366-2375.html
   My bibliography  Save this article

Admissibility analysis of linear singular systems via a delta operator method

Author

Listed:
  • Xin-zhuang Dong

Abstract

In this paper, the problem of admissibility analysis is investigated for linear singular systems through a delta operator method. The delta operator model of a linear singular continuous system is set up first for a special case and then generalised to the common case. It is shown that when the sampling period tends to zero, the delta operator model tends to the corresponding singular continuous system. In order to obtain the above delta operator model, we adopt a linear singular discrete model which contains the sampling period instead of the standard discrete one which contains no sampling period in the modeling process. The relation between the admissibility of the two singular discrete models is analysed and it is proved that the admissibility of one singular discrete model is equivalent to that of the other discrete model. Moreover, based on the relation between the discrete and delta operator models, some admissibility conditions are derived for linear singular delta operator systems. A numerical example is also provided to demonstrate the theoretical results in this paper.

Suggested Citation

  • Xin-zhuang Dong, 2014. "Admissibility analysis of linear singular systems via a delta operator method," International Journal of Systems Science, Taylor & Francis Journals, vol. 45(11), pages 2366-2375, November.
  • Handle: RePEc:taf:tsysxx:v:45:y:2014:i:11:p:2366-2375
    DOI: 10.1080/00207721.2013.769646
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1080/00207721.2013.769646
    Download Restriction: Access to full text is restricted to subscribers.

    File URL: https://libkey.io/10.1080/00207721.2013.769646?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. Chih-Peng Huang, 2013. "Stability analysis and controller synthesis for fuzzy descriptor systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 44(1), pages 23-33.
    2. Junchao Ren & Qingling Zhang, 2013. "Positive real control for descriptor systems with uncertainties in the derivative matrix via a proportional plus derivative feedback," International Journal of Systems Science, Taylor & Francis Journals, vol. 44(3), pages 450-460.
    3. Zheng-Guang Wu & Peng Shi & Hongye Su & Jian Chu, 2012. "Delay-dependent stability analysis for discrete-time singular Markovian jump systems with time-varying delay," International Journal of Systems Science, Taylor & Francis Journals, vol. 43(11), pages 2095-2106.
    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. Houssem Jerbi & Mourad Kchaou & Attia Boudjemline & Mohamed Amin Regaieg & Sondes Ben Aoun & Ahmed Lakhdar Kouzou, 2021. "H ∞ and Passive Fuzzy Control for Non-Linear Descriptor Systems with Time-Varying Delay and Sensor Faults," Mathematics, MDPI, vol. 9(18), pages 1-25, September.
    2. Chen Zheng & Jinde Cao & Manfeng Hu & Xiaozheng Fan, 2017. "Finite-time stabilisation for discrete-time T–S fuzzy model system with channel fading and two types of parametric uncertainty," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(1), pages 34-42, January.
    3. Y. Y. Wang & P. F. Zhou & Q. B. Wang & D. P. Duan, 2014. "State Estimation and Reliable Control of Singular Markovian Systems with Distributed State Delays and Input Delays," Journal of Optimization Theory and Applications, Springer, vol. 162(1), pages 313-328, July.
    4. Xin-Rong Yang & Guo-Ping Liu, 2016. "Admissible consensus for heterogeneous descriptor multi-agent systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(12), pages 2869-2877, September.
    5. Taha H. S. Abdelaziz, 2017. "Pole assignment of multivariable systems using proportional-derivative state feedback," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(13), pages 2871-2886, October.
    6. Ping Chen & Jing Yang & Linyuan Li, 2015. "Synthetic detection of change point and outliers in bilinear time series models," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(2), pages 284-293, January.
    7. Mu, Yunfei & Zhang, Huaguang & Su, Hanguang & Wang, Yingchun, 2021. "Robust normalization and H∞ stabilization for uncertain Takagi-Sugeno fuzzy singular systems with time-delays," Applied Mathematics and Computation, Elsevier, vol. 388(C).
    8. Jian Li & Qingling Zhang & Junchao Ren & Yanhao Zhang, 2017. "Robust decentralised stabilisation of uncertain large-scale interconnected nonlinear descriptor systems via proportional plus derivative feedback," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(14), pages 2997-3006, October.
    9. Yongming Li & Shaocheng Tong, 2016. "Adaptive fuzzy switched control design for uncertain nonholonomic systems with input nonsmooth constraint," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(14), pages 3436-3446, October.
    10. Wei Guan & Lei Fu & Yuechao Ma, 2019. "Finite-Time Filtering for Discrete-Time Singular Markovian Jump Systems with Time Delay and Input Saturation," Complexity, Hindawi, vol. 2019, pages 1-22, 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:taf:tsysxx:v:45:y:2014:i:11:p:2366-2375. 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: Chris Longhurst (email available below). General contact details of provider: http://www.tandfonline.com/TSYS20 .

    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.