ROBERT BAIER AND MATTHIAS GERDTS Intensive Course on Set-Valued Numerical Analysis and Optimal Control
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Approximation of Reachable Sets using Optimal Control Algorithms
We investigate and analyze a computational method for the approximation of reachable sets for nonlinear dynamic systems. The method uses grids to cover the region of interest and the distance function to the reachable set evaluated at grid points. A convergence analysis is provided and shows the convergence of three different types of discrete set approximations to the reachable set. The distan...
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We analyze the Euler discretization to a class of linear-quadratic optimal control problems. First we show convergence of order h for the optimal values, where h is the mesh size. Under the additional assumption that the optimal control has bang-bang structure we show that the discrete and the continuous controls coincide except on a set of measure O( √ h). Under a slightly stronger assumption ...
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Future systems based on post-CMOS technologies will be wildly heterogeneous, with properties largely unknown today. This paper presents our design of a new hardware/software stack to address the challenge of preparing software development for such systems. It combines well-understood technologies from different areas, e.g., network-on-chips, capability operating systems, flexible programming mo...
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تاریخ انتشار 2005