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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Journal of optimization theory and applications 37 (1982), S. 89-113 
    ISSN: 1573-2878
    Keywords: Max-min controllability ; pursuit games ; norm-bounded controls ; minimal time ; optimal norm
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract In this article, we consider max-min controllability in linear pursuit games with norm-bounded controls. Our approach is based on the separation theorem of disjoint compact convex sets in Euclidean space. Necessary and sufficient conditions for max-min controllability are given in terms of an explicit relative controllability expression which, in a sense, is a comparison between the control capabilities of the competing parties. Minimal time and optimal norm problems are investigated.
    Type of Medium: Electronic Resource
    Library Location Call Number Volume/Issue/Year Availability
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  • 2
    Electronic Resource
    Electronic Resource
    Chichester : Wiley-Blackwell
    International Journal for Numerical Methods in Fluids 23 (1996), S. 485-501 
    ISSN: 0271-2091
    Keywords: shallow recirculating flow ; multilayer model ; turbulence model ; Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: A quasi-three-dimensional multilayer k- ∊ model has been developed to simulate turbulent recirculating flows behind a sudden expansion in shallow waters. The model accounts for the vertical variation in the flow quantities and eliminates the problem of closure for the effective stresses resulting from the depth integration of the non-linear convective accelerations found in the widely used depth- integrated models. The governing equations are split into three parts in the finite difference solution: advection, dispersion and propagation. The advection part is solved using the four-node minimax-characteristics method. The dispersion and propagation parts are treated by the central difference method, the former being solved explicitly and the latter implicitly using the Gauss-Seidel iteration method. The relative effect of bed-generated turbulence and transverse shear-generated turbulence on the recirculating flow has been studied in detail. In comparison with the results computed by the depth-integrated k-∊ model, the results computed by the present model are found to be closer to the reported data.
    Additional Material: 12 Ill.
    Type of Medium: Electronic Resource
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