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Analysis of neural networks in terms of domain functions

Despite their success-story, artificial neural networks have one major disadvantage compared to other techniques: the inability to explain comprehensively how a trained neural network reaches its output; neural networks are not only (incorrectly) seen as a “magic tool” but possibly even more as a mysterious “black box.” Although much research has already been done to “open the box,” there is a not

Control of convex-monotone systems

We define the notion of convex-monotone system and prove that for such systems the state trajectory x(⋅) is a convex function of the initial state x(0) and the input trajectory u(⋅). This observation gives a useful class of nonlinear dynamical systems for which control design can be performed by convex optimization. Applications to evolutionary dynamics of diseases and voltage stability in power n

Separation of biomolecules using Open-Loop Non-Isocratic Simulated moving bed (SMB) technology

Popular Abstract in English In biotechnological industries, downstream processing is a bottleneck in the complete production process. There is a wish to reduce the costs and therefore one tries to operate separation technology in continuous mode. Conventional SMB is a continuous countercurrent separation process, which is based on mathematical modeling and simulation studies for separation of binIn biotechnological industries, downstream processing is a bottleneck in the complete production process. There is a wish to reduce the costs and therefore one tries to operate separation technology in continuous mode. Conventional SMB is a continuous countercurrent separation process, which is based on mathematical modeling and simulation studies for separation of binary mixtures of components.