IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v42y2009i2p751-759.html
   My bibliography  Save this article

Stabilization analysis of the switched discrete-time systems using Lyapunov stability theorem and genetic algorithm

Author

Listed:
  • Chiou, Juing-Shian
  • Cheng, Chun-Ming

Abstract

This paper attempts to investigate the stabilization and switching law design for the switched discrete-time systems. A theoretical study of the stabilization and switching law design has been performed using the Lyapunov stability theorem and genetic algorithm. The present results demonstrated that can be applied to cases when all individual subsystems are unstable. Finally, some examples are exploited to illustrate the proposed schemes.

Suggested Citation

  • Chiou, Juing-Shian & Cheng, Chun-Ming, 2009. "Stabilization analysis of the switched discrete-time systems using Lyapunov stability theorem and genetic algorithm," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 751-759.
    • Handle: RePEc:eee:chsofr:v:42:y:2009:i:2:p:751-759
    DOI: 10.1016/j.chaos.2009.02.003
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077909000484
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2009.02.003?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. Letellier, Christophe & Bennoud, Mounia & Martel, Gilles, 2007. "Intermittency and period-doubling cascade on tori in a bimode laser model," Chaos, Solitons & Fractals, Elsevier, vol. 33(3), pages 782-794.
    2. 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.
    3. Guo, Jiajie & Xie, Guangming & Wang, Long, 2009. "Chaotic attractor generation and critical value analysis via switching approach," Chaos, Solitons & Fractals, Elsevier, vol. 40(5), pages 2160-2169.
    4. Wu, Ming-Sheng & Teng, Wei-Chih & Jeng, Jyh-Horng & Hsieh, Jer-Guang, 2006. "Spatial correlation genetic algorithm for fractal image compression," Chaos, Solitons & Fractals, Elsevier, vol. 28(2), pages 497-510.
    5. 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.
    6. Naschie, M.S. El, 2006. "Holographic correspondence and quantum gravity in E-infinity spacetime," Chaos, Solitons & Fractals, Elsevier, vol. 29(4), pages 871-875.
    7. Naschie, M.S. El, 2006. "Fractal black holes and information," Chaos, Solitons & Fractals, Elsevier, vol. 29(1), pages 23-35.
    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. Chun-Tang Chao & Ding-Horng Chen & Juing-Shian Chiou, 2021. "Stabilization and the Design of Switching Laws of a Class of Switched Singularly Perturbed Systems via the Composite Control," Mathematics, MDPI, vol. 9(14), pages 1-11, July.

    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. El Naschie, M.S., 2006. "Elementary prerequisites for E-infinity," Chaos, Solitons & Fractals, Elsevier, vol. 30(3), pages 579-605.
    2. Mishra, Shalabh Kumar & Upadhyay, Dharmendra Kumar & Gupta, Maneesha, 2018. "An approach to improve the performance of fractional-order sinusoidal oscillators," Chaos, Solitons & Fractals, Elsevier, vol. 116(C), pages 126-135.
    3. El Naschie, M.S., 2006. "On two new fuzzy Kähler manifolds, Klein modular space and ’t Hooft holographic principles," Chaos, Solitons & Fractals, Elsevier, vol. 29(4), pages 876-881.
    4. Yin, Xin-An & Yang, Xiao-Hua & Yang, Zhi-Feng, 2009. "Using the R/S method to determine the periodicity of time series," Chaos, Solitons & Fractals, Elsevier, vol. 39(2), pages 731-745.
    5. Chen, Ning & Hao, Ding & Tang, Ming, 2009. "Automatic generation of symmetric IFSs contracted in the hyperbolic plane," Chaos, Solitons & Fractals, Elsevier, vol. 41(2), pages 829-842.
    6. Chen, Qing-Jiang & Qu, Xiao-Gang, 2009. "Characteristics of a class of vector-valued non-separable higher-dimensional wavelet packet bases," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 1676-1683.
    7. Guo, Yingjia, 2017. "Stochastic regime switching SIR model driven by Lévy noise," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 479(C), pages 1-11.
    8. Li, Zengshan & Chen, Diyi & Ma, Mengmeng & Zhang, Xinguang & Wu, Yonghong, 2017. "Feigenbaum's constants in reverse bifurcation of fractional-order Rössler system," Chaos, Solitons & Fractals, Elsevier, vol. 99(C), pages 116-123.
    9. Altun, Ishak & Sahin, Hakan & Aslantas, Mustafa, 2021. "A new approach to fractals via best proximity point," Chaos, Solitons & Fractals, Elsevier, vol. 146(C).
    10. El Naschie, M.S., 2007. "The Fibonacci code behind super strings and P-Branes. An answer to M. Kaku’s fundamental question," Chaos, Solitons & Fractals, Elsevier, vol. 31(3), pages 537-547.
    11. 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.
    12. El Naschie, M.S., 2007. "Estimating the experimental value of the electromagnetic fine structure constant α¯0=1/137.036 using the Leech lattice in conjunction with the monster group and Spher’s kissing number in 24 dimensions," Chaos, Solitons & Fractals, Elsevier, vol. 32(2), pages 383-387.
    13. Palanivel, J. & Suresh, K. & Sabarathinam, S. & Thamilmaran, K., 2017. "Chaos in a low dimensional fractional order nonautonomous nonlinear oscillator," Chaos, Solitons & Fractals, Elsevier, vol. 95(C), pages 33-41.
    14. Chapeau-Blondeau, François & Chauveau, Julien & Rousseau, David & Richard, Paul, 2009. "Fractal structure in the color distribution of natural images," Chaos, Solitons & Fractals, Elsevier, vol. 42(1), pages 472-482.
    15. Zhou, Yi-Ming & Zhang, Chao & Zhang, Zeng-Ke, 2009. "An efficient fractal image coding algorithm using unified feature and DCT," Chaos, Solitons & Fractals, Elsevier, vol. 39(4), pages 1823-1830.
    16. Liu, Xinzhi & Stechlinski, Peter, 2016. "Hybrid stabilization and synchronization of nonlinear systems with unbounded delays," Applied Mathematics and Computation, Elsevier, vol. 280(C), pages 140-161.
    17. Zhang, Yongping & Sun, Weihua & Liu, Shutang, 2009. "Control of generalized Julia sets," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1738-1744.
    18. 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.
    19. Singh, S.L. & Prasad, Bhagwati & Kumar, Ashish, 2009. "Fractals via iterated functions and multifunctions," Chaos, Solitons & Fractals, Elsevier, vol. 39(3), pages 1224-1231.
    20. Lu, Jian & Ye, Zhongxing & Zou, Yuru & Ye, Ruisong, 2008. "An enhanced fractal image denoising algorithm," Chaos, Solitons & Fractals, Elsevier, vol. 38(4), pages 1054-1064.

    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:2:p:751-759. 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.