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In this paper Modelica and Optimica are used to solve two different optimal control problems for a system consisting of a pendulum and a cart. These optimizations will demonstrate that Optimica is easy to use and powerful when optimizing systems with highly non-linear dynamics. The optimal control trajectories are applied to a real pendulum and cart system, in open loop as well as in closed loop w

Abstract Fatty acids mobilized from triacylglycerol stores are a major energy source in humans. Mobilization occurs through the consecutive action of three lipases: adipose triglyceride lipase (ATGL), hormone-sensitive lipase (HSL) and monoglyceride lipase (MGL). Whereas ATGL and MGL only hydrolyse tri- and monoacylglycerols, respectively, HSL has a broad substrate range and hydrolyses cholesterol

Previously the authors presented a novel duplex method for very high bit-rate digital subscriber lines (VDSL) called Zipper. With this method all VDSL-modems on different wires in the same bindergroup have to be time-synchronized to avoid near-end cross-talk (NEXT). We describe a method which enables Zipper to run in a time-asynchronous mode. By introducing pulse-shaping in the transmitter and win

All higher functions of the cell are dependent on cell signaling. It is the way of the cell to obtain information about the world surrounding it. By getting information on e.g. temperature, glucose concentrations, or the density of neighboring cells, the cell can make decisions on how to optimally act given the supplied information. Even though cells are very different, some of the basic mechanism

Extreme value theory is about the distributions of very large or very small values in a time series or stochastic process. This has numerous applications connected with environmental science, civil engineering, materials science and insurance. A rather recent approach for modelling extreme events is the so called peak over threshold (POT) method. The generalised Pareto distribution (GPD) is

Propagation of transient electric and magnetic (TEM) pulses in nonstationary, linear, homogeneous, and isotropic dielectric and magnetic materials is investigated using an exact wave splitting. Key intrinsic properties are the index of refraction and the relative admittance, which are both temporal integral operators with kernels that depend on two time variables. In addition, the Sommerfeld forer

Model Predictive Control (MPC) is applied to a pendulum system consisting of a pendulum and a cart. The objective of the MPC-controller is to steer the system towards precalculated trajectories that move the system from one operating point to another. The sample time of the controller sets hard limitations on the execution time of the optimization routine in the MPC-controller. The optimization pr