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  • Articles  (2)
  • American Institute of Physics (AIP)  (1)
  • Hindawi  (1)
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  • Articles  (2)
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  • 1
    Publication Date: 2018-03-05
    Description: Some sufficient conditions, which are valid for stability check of fractional-order nonlinear systems, are given in this paper. Based on these results, the synchronization of two fractional-order chaotic systems is investigated. A novel fractional-order sliding surface, which is composed of a synchronization error and its fractional-order integral, is introduced. The asymptotical stability of the synchronization error dynamical system can be guaranteed by the proposed fractional-order sliding mode controller. Finally, two numerical examples are given to show the feasibility of the proposed methods.
    Print ISSN: 1687-9120
    Electronic ISSN: 1687-9139
    Topics: Mathematics , Physics
    Published by Hindawi
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  • 2
    Electronic Resource
    Electronic Resource
    [S.l.] : American Institute of Physics (AIP)
    Journal of Applied Physics 90 (2001), S. 4452-4455 
    ISSN: 1089-7550
    Source: AIP Digital Archive
    Topics: Physics
    Notes: One of the most notorious problems with ferroelectric liquid crystal is obtaining zigzag free bistable devices. By investigating the balance between surface azimuthal anchoring energy and bulk elastic energy within the confined chevron layer geometry of C1 and C2, we propose that it is possible to get a zigzag free C1 state by low azimuthal anchoring alignment at a low pretilt angle. The critical azimuthal anchoring coefficient for the defect free C1 state is calculated. Its relationships with elastic constant, chevron angle, as well as surface topography effect are also discussed. © 2001 American Institute of Physics.
    Type of Medium: Electronic Resource
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