IDEAS home Printed from https://ideas.repec.org/a/spr/joptap/v157y2013i3d10.1007_s10957-012-0187-2.html
   My bibliography  Save this article

Controlling Transport and Synchronization in Non-identical Inertial Ratchets

Author

Listed:
  • Pingli Lu

    (Beijing Institute of Technology)

  • Qinghe Wu

    (Beijing Institute of Technology)

  • Ying Yang

    (Peking University)

Abstract

In this paper, transport control and synchronization are investigated between two periodically driven non-identical, inertial ratchets that are able to exhibit directed transport. One of the two ratchets is acting as a drive system, while the other one represents the response system. Based on the Lyapunov stability theorem, the essential conditions, under which the error nonlinear system is transformed into an equivalent passive system and globally asymptotically stabilized at equilibrium points, are established. With these results, synchronization, not only between two non-identical ratchets with known parameters but also between two different uncertain ratchets, are realized via adaptive passive controllers and parameter update algorithm. The direction of transporting particles can be dominated along expected one and it is useful to control the motion of tiny particles, ratchetlike devices in nanoscience.

Suggested Citation

  • Pingli Lu & Qinghe Wu & Ying Yang, 2013. "Controlling Transport and Synchronization in Non-identical Inertial Ratchets," Journal of Optimization Theory and Applications, Springer, vol. 157(3), pages 888-899, June.
    • Handle: RePEc:spr:joptap:v:157:y:2013:i:3:d:10.1007_s10957-012-0187-2
    DOI: 10.1007/s10957-012-0187-2
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10957-012-0187-2
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s10957-012-0187-2?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. Larrondo, H.A. & Arizmendi, C.M. & Family, Fereydoon, 2003. "Current basins of attraction in inertia ratchets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 320(C), pages 119-127.
    2. Mateos, José L, 2003. "Current reversals in chaotic ratchets: the battle of the attractors," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 325(1), pages 92-100.
    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. Vincent, U.E. & Njah, A.N. & Akinlade, O. & Solarin, A.R.T., 2006. "Phase synchronization in bi-directionally coupled chaotic ratchets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 360(2), pages 186-196.

    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:spr:joptap:v:157:y:2013:i:3:d:10.1007_s10957-012-0187-2. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.