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  • 1
    Electronic Resource
    Electronic Resource
    Approximate Solutions to the Time-Invariant Hamilton–Jacobi–Bellman Equation (1998)
    Springer
    Journal of optimization theory and applications 96 (1998), S. 589-626 
    Details
    ISSN: 1573-2878
    Keywords: Nonlinear control ; optimal control ; Hamilton–Jacobi–Bellman equation ; feedback synthesis ; successive approximation ; Galerkin approximation
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract In this paper, we develop a new method to approximate the solution to the Hamilton–Jacobi–Bellman (HJB) equation which arises in optimal control when the plant is modeled by nonlinear dynamics. The approximation is comprised of two steps. First, successive approximation is used to reduce the HJB equation to a sequence of linear partial differential equations. These equations are then approximated via the Galerkin spectral method. The resulting algorithm has several important advantages over previously reported methods. Namely, the resulting control is in feedback form and its associated region of attraction is well defined. In addition, all computations are performed off-line and the control can be made arbitrarily close to optimal. Accordingly, this paper presents a new tool for designing nonlinear control systems that adhere to a prescribed integral performance criterion.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1022664528457
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    Paper (German National Licenses)
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    Periodically Changing Morphology of the Growth Interface in Si, Ge, and GaP Nanowires (2011)
    American Physical Society (APS)
    Details
    Publication Date: 2011-07-07
    Description: Author(s): C.-Y. Wen, J. Tersoff, K. Hillerich, M. C. Reuter, J. H. Park, S. Kodambaka, E. A. Stach, and F. M. Ross Nanowire growth in the standard ⟨111⟩ direction is assumed to occur at a planar catalyst-nanowire interface, but recent reports contradict this picture. Here we show that a nonplanar growth interface is, in fact, a general phenomenon. Both III–V and group IV nanowires show a distinct region at the t... [Phys. Rev. Lett. 107, 025503] Published Wed Jul 06, 2011
    Keywords: Condensed Matter: Structure, etc.
    Print ISSN: 0031-9007
    Electronic ISSN: 1079-7114
    Topics: Physics
    Published by American Physical Society (APS)
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