635 research outputs found

    Stability of Control Systems with Multiple Sector-Bounded Nonlinearities for Inputs Having Bounded Magnitude and Bounded Slope

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    This paper considers the input-output stability of a control system that is composed of a linear time-invariant multivariable system interconnecting with multiple decoupled time-invariant memoryless nonlinearities. The objectives of the paper are twofold. First and foremost, we prove (under certain assumptions) that if the multivariable Popov criterion is satisfied, then the system outputs and the nonlinearity inputs are bounded for any exogeneous input having bounded magnitude and bounded slope, and for all the nonlinearities lying in given sector bounds. As a consequence of using the convolution algebra, the obtained result is valid for rational and nonrational transfer functions. Second, for the case in which the transfer functions associated with the Popov criterion are rational functions, we develop a useful inequality for stabilizing the system by numerical methods. This is achieved by means of the positive real lemma and known results on linear matrix inequalities. To illustrate the usefulness of the inequality, a numerical example is provided

    Prioritizing Land for Conservation in Northeast North Carolina

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    The northeastern coastal plain of North Carolina provides a number of irreplaceable values like habitat for wildlife, economic gain through tourism, and social value through recreation and aesthetics. New development in this region may alter existing undeveloped lands that are important to wildlife and the community. In order to preserve lands in the face of this threat, land trusts like the North Carolina Coastal Land Trust (NCCLT) work to protect lands from development in perpetuity. Due to limited funds and resources, land trusts must ensure projects they undertake are both within the mission of the organization and of high conservation value. Site prioritization schemes are a way to aid the decision making process when undergoing conservation projects. In coordination with the North Carolina Coastal Land Trust, this study uses a multi-criteria decision analysis and GIS site prioritization to identify parcels of high conservation value in 5 priority regions within North Carolina’s northeastern coastal plain. Parcel level prioritization analyses were performed in ArcGIS using a utility analysis and value-based framework to determine parcels of highest conservation significance. Criteria included in this framework were based on acreage, connectivity with other managed lands, biodiversity, threat of development, and riparian frontage. As part of this process, a GIS Land Prioritization tool was developed that (1) provides summary statistics of important conservation criteria for each parcel across any region of land; (2) allows for manipulation of the actual prioritization method, weighting of values, and point scheme so the land trust can prioritize certain criteria differently in future analyses; and (3) outputs a list of parcels and their associated conservation scores for each parcel depending on the point scheme and weights defined by the user. While the tool allows for any number of point schemes to be used, the analysis performed here uses an equal weighting method across criteria. Results indicate a range of conservation values for parcels in each priority region. The findings from this study and the GIS tool created can be used both proactively and reactively in conservation planning efforts and project decision making in North Carolina

    Design of Control Systems with Multiple Backlash Nonlinearities Subject to Inputs Restricted in Magnitude and Slope

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    This paper develops a computational method for designing a control system that is an interconnection of transfer functions and multiple decoupled backlash nonlinearities where each backlash is modelled as an uncertain band containing multi-valued functions. The design objective is to ensure that the system outputs and the nonlinearity inputs always stay within their prescribed bounds in the presence of all inputs whose magnitude and whose slope are bounded by respective numbers. By using a known technique, each backlash is decomposed as a linear gain and a bounded disturbance. Essentially, the original design problem is replaced by a surrogate design problem that is related to a linear system and thereby can readily be solved by tools available in previous work. Moreover, as a result of using the convolution algebra A, the method developed here is applicable to rational and nonrational transfer functions. To illustrate the usefulness of the method, linear decentralized controllers are designed for a binary distillation column where valve stiction characteristics are taken into account

    Korea under Japanese colonial administration

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    Thesis (M.A.)--Boston UniversityThe present paper is an analytical study in which an attempt is made to evaluate the Japanese administration on Korea through a comparison with the concept and philosophy of democratic administrative institutions which prevail in the United States and an assessment of the extent to which the Japanese administrative system did meet the needs of the Korean people, thereby determining what elements of the two administrative systems may prove most valuable in the future development of Korean public administration. One assumption must be made for the purpose, namely, that democratic institutions are best adapted to the needs of the Korean people at this time
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