Bright and dark spatial gap solitons are demonstrated in waveguide arrays. These gap solitons travel across the array at zero transverse velocity, in complete analogy with stationary (immobile) temporal gap solitons. ...
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Bright and dark spatial gap solitons are demonstrated in waveguide arrays. These gap solitons travel across the array at zero transverse velocity, in complete analogy with stationary (immobile) temporal gap solitons. Furthermore, the launching configuration for observing these stationary gap solitons is shown to be the analog of an “ideal experiment” for observing stationary temporal gap solitons, never observed so far. A clear distinction is established between the family of Floquet-Bloch solitons in general and discrete solitons in particular, and the limiting case of gap solitons.
Virtual Reality(VR)/Three-dimensional computer graphics(3-D CG)is a technology that creates a virtual three-dimensional space in a computer to visually reproduce the texture and movement of objects. Due to the signifi...
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Virtual Reality(VR)/Three-dimensional computer graphics(3-D CG)is a technology that creates a virtual three-dimensional space in a computer to visually reproduce the texture and movement of objects. Due to the significant improvement of the performance of computers and price reduction of software and various peripheral equipments in recent years, VR/3-D CG is rapidly becoming widespread and used for various purposes including scientific simulation and entertainment. It is also widely used in civil engineering for such purposes as aesthetic evaluation during planning and design nhases, and analvtical simulations.
In this paper, we demonstrate through a chemistry experiment that conformational addressing can be achieved using the hairpin structure of a DNA molecule. The hairpin structure made by single-strand DNA (ssDNA) self-h...
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The theory of self-concordant barriers was introduced by Nesterov and Nemirovskii (1994) in the context of interior-point methods for convex optimisation. Their development is general, elegant and enjoys widespread im...
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The theory of self-concordant barriers was introduced by Nesterov and Nemirovskii (1994) in the context of interior-point methods for convex optimisation. Their development is general, elegant and enjoys widespread implementation in state-of-the-art algorithms. In this paper we exploit the theory of self-concordant functions with application to nonlinear MPC. In particular we construct an invariant terminal constraint set via properties of self-concordant functions. We also extend earlier results on recent red barrier function MPC to nonlinear MPC (model predictive control) with state constraints. We show nominal closed-loop stability for a wide class of nonlinear systems under full state feedback.
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