A computational algorithm for a class of non-smooth optimal control problems arising in aquaculture operations

This paper introduces a computational approach for solving non-linear optimal control problems in which the objective function is a discontinuous function of the state. We illustrate this approach using a dynamic model of shrimp farming in which shrimp are harvested at several intermediate times during the production cycle. The problem is to choose the optimal harvesting times and corresponding optimal harvesting fractions (the percentage of shrimp stock extracted) to maximize total revenue. The main difficulty with this problem is that the selling price of shrimp is modelled as a piecewise constant function of the average shrimp weight and thus the revenue function is discontinuous. By performing a time-scaling transformation and introducing a set of auxiliary binary variables, we convert the shrimp harvesting problem into an equivalent optimization problem that has a smooth objective function. We then use an exact penalty method to solve this equivalent problem. We conclude the paper with a numerical example

STRUCTURING OF ELECTRODE SURFACES WITH LIGAND-FREE NANOPARTICLES VIA ELECTROPHORETIC DEPOSITION- FUNDAMENTALS AND IN VIVO APPLICATIONS

Electrodes for neural stimulation and recording are highly relevant in modern medicine, e.g. for the treatment of movement disorders. As these electrodes have to be implanted directly into the patient´s brain, impaired biocompatibility as well as reduced performance due to increased impedance upon tissue contact are serious problems. Strategies to improve the efficiency of electrodes entail the implementation of defined nanoscopic structures to the electrode surface, which increase the surface area and improve the current flow by possible edge effects1. In this context electrophoretic deposition (EPD) of nanoparticles (NP) constitutes an efficient and feasible way for surface structuring as in contrast to e.g. ablative laser machining, electric field lines are naturally ordered perpendicular to the implant´s surface, so that electrophoretic deposition is well compatible to shaped implants and curved surfaces. In this work an EPD process for the structuring of Pt electrode surfaces with NP is systematically investigated. Reference NP from a modern synthesis route named pulsed laser ablation in liquids (PLAL)2 are utilized as they possess a high surface charge density in order to ease their movement in an electric field. The electrophoretic velocity of these NP was examined and found to be linearly-correlated with the electric field strength, while the slope is dictated by the NP´s surface charge density (zeta-potential).3, 4 On the other hand the PLAL-generated NP are, by design, completely free of organic ligand, which significantly affected their deposition in an EPD setup. It was found that the deposited mass linearly increased with process time, yielding a well scalable process, while on the other hand control experiments with ligands showed a saturation of the deposited mass due to electrochemical shielding of the surface by charged ligands.4 It was furthermore demonstrated that the EPD process with ligand-free NP could also be done in a continuous flow-through setup suitable for the parallel structuring of multiple electrodes.5 Interestingly, the deposition velocity was not size dependent as particle size distributions prior to and after EPD were identical.5 In consecutive experiments, the surface properties like coverage, oxidation, wettability6 and impedance of the electrode materials were evaluated and correlated with the EPD process parameters electric field strength, colloid concentration and deposition time. As a result a detailed map was obtained, which allows a defined tuning of Pt surface properties by Pt NP EPD. Finally, the impedance of electrodes coated with ligand-free Pt NP were evaluated in long term stimulation experiments with rats. The NP coating could stabilize the impedance of the electrodes in vivo, while it continuously increased in non-coated controls.7 Furthermore, the coated electrodes exhibited excellent biocompatibility similar to the controls7 while no significant NP desorption from the surface was found upon mechanical tear. 1. X. F. F. Wei and W. M. Grill, J. Neural Eng., 2005, 2, 139-147. 2. V. Amendola and M. Meneghetti, Phys. Chem. Chem. Phys., 2013, 15, 3027-3046. 3. A. Menendez-Manjon, J. Jakobi, K. Schwabe, J. K. Krauss and S. Barcikowski, J. Laser Micro Nanoeng., 2009, 4, 95-99. 4. C. Streich, S. Koenen, M. Lelle, K. Peneva and S. Barcikowski, Appl. Surf. Sci., 2015, 348, 92-99. 5. S. Koenen, R. Streubel, J. Jakobi, K. Schwabe, J. K. Krauss and S. Barcikowski, J. Electrochem. Soc., 2015, 162, D174-D179. 6. A. Heinemann, S. Koenen, K. Schwabe, C. Rehbock and S. Barcikowski, Key engineering materials, 2015, 654, 218-223. 7. S. D. Angelov, S. Koenen, J. Jakobi, H. E. Heissler, M. Alam, K. Schwabe, S. Barcikowski and J. K. Krauss, J. Nanobiotechnol., 2016, 14

The control parameterization method for nonlinear optimal control: A survey

The control parameterization method is a popular numerical technique for solving optimal control problems. The main idea of control parameterization is to discretize the control space by approximating the control function by a linear combination of basis functions. Under this approximation scheme, the optimal control problem is reduced to an approximate nonlinear optimization problem with a finite number of decision variables. This approximate problem can then be solved using nonlinear programming techniques. The aim of this paper is to introduce the fundamentals of the control parameterization method and survey its various applications to non-standard optimal control problems. Topics discussed include gradient computation, numerical convergence, variable switching times, and methods for handling state constraints. We conclude the paper with some suggestions for future research

The Sparrow Question: Social and Scientific Accord in Britain, 1850-1900.

During the latter-half of the nineteenth century, the utility of the house sparrow (Passer domesticus) to humankind was a contentious topic. In Britain, numerous actors from various backgrounds including natural history, acclimatisation, agriculture and economic ornithology converged on the bird, as contemporaries sought to calculate its economic cost and benefit to growers. Periodicals and newspapers provided an accessible and anonymous means of expression, through which the debate raged for over 50 years. By the end of the century, sparrows had been cast as detrimental to agriculture. Yet consensus was not achieved through new scientific methods, instruments, or changes in practice. This study instead argues that the rise and fall of scientific disciplines and movements paved the way for consensus on "the sparrow question." The decline of natural history and acclimatisation stifled a raging debate, while the rising science of economic ornithology sought to align itself with agricultural interests: the latter overwhelmingly hostile to sparrows

New Directions in Deterministic Metabolism Modeling of Sheep

© 2016 Elsevier Inc. All rights reserved.A deterministic whole-body sheep metabolism model relies on biochemical knowledge on how pools absorb nutrients from feed intake and interact with each other. We review previous work in the area with a focus on one of the more comprehensive sheep models published. We identify some less transparent limitations to this model and suggest ways to overcome them. We demonstrate the use of dynamic optimization techniques, particularly optimal parameter selection formulations, to improve the model, guided by the observed behavior or actual sheep metabolic processes.We implement the model consisting of differential equations governing transactions between pools in the MISER3.3 dynamic optimization software. This enables us to adjust model parameters and inputs to achieve more realistic outcomes and extend the model to adulthood. While a reliable, widely accepted model to replicate whole-body sheep growth remains a long-term goal, the work demonstrates that significant improvements can be achieved with appropriate mathematical tools

Linguistic Transfer: Studying Third Language Acquisition in University Context

While much past work in linguistics has focused on second language acquisition and the interlanguage that is developed within such an individual, this project would investigate the way that such an interlanguage influences a learner of a third language. Previous studies on third language acquisition (TLA) have largely focused on determining the initial state of L3 interlanguage. To contribute to the discussion on TLA, this study would be concerned specifically with students with experience in the formal classroom setting and gauge interference from an L1 or L2 on the acquisition of an L3. While various forms of interference can be identified (lexical, morphological, syntactic, etc.), it would be helpful to identify what sorts of interference occur with the greatest frequency. I propose to Identify general characteristics of language that students commonly struggle with in acquiring a third language and create speech tasks of varying formality to engage with these errors that individuals commit