Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 20 of 22 for “"sums of squares"”.
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Nonnegative Polynomials, Sums of Squares and the Cayley-Bacharach Theorem
… is non-negative is to express it as a sum of squares, however not all non-negative polynomials can be written as a sum of squares. The fundamental reason that there exist non-negative polynomials that cannot be written as sums of squares is that these polynomials satisfy linear inequalities …
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Semidefinite programming approaches to multi-contact feedback control
… without prespecifying the timing or the number of occurrence of the contacts. We examine several different models of such systems and the roles of semidefinite programming and sums-of-squares programming in designing and verifying stabilizing controllers. First the system is modelled as a …
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Combined intra- and inter-block analysis for factorials in incomplete block designs
The work of Kramer and Bradley on the use of factorials in incomplete block designs bas been extended to permit both the intra-block and combined intra- and inter-block analyses of factorials in balanced and partially balanced incomplete block designs. In particular, we have obtained a combined …
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Assessment and Comparison of Techniques for Transforming Parameters to a Common Metric in Item Response Theory
… different techniques for transforming two sets of parameters to a common metric in item response theory were evaluated. These techniques include three techniques that estimate the transformation by equating the first two moments of the distributions of estimated difficulty parameters. Another …
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Applications of analysis of variance in wool marketing
Analysis of variance could be described as a statistical technique for analysing measurements depending on several kinds of effects operating simultaneously so as to decide which kinds of effects are important and to estimate the effects. Although probably not susceptible of a very precise …
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Control of a nonlinear underactuated system with adaptation, numerical stability verification, and the use of the LQR Trees algorithm
… though surrounded by an established body of work, has certain limitations when nonlinear adaptive control principles are applied. This thesis applies a nonlinear adaptative controller that avoids many of these limitations using alterations inspired by the control of a similar underactuated …
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An analysis of repeated measurements on experimental units in a two-way classification
… may be correlated. Therefore, the assumption of independent observations cannot be made in general. This thesis considers the experimental design with treatments in a two-way classification with a disproportionate number of subjects allocated to each treatment combination and repeated …
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Polynomial Optimization and the Moment Problem
There are a wide variety of mathematical problems in different areas which are classified under the title of Moment Problem. We are interested in the moment problem with polynomial data and its relation to real algebra and real algebraic geometry. In this direction, we consider two different …
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Computational Tradeoffs and Symmetry in Polynomial Nonnegativity
… intractable, there has been a surge of recent work giving sufficient conditions for nonnegativity to address its many practical applications. A major trend in this direction has been the use of convex optimization to characterize polynomials that are sums of squares (SOS); …
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Four Problems in Probability and Optimization
… as well as several topics in the application of sums of squares to combinatorial optimization. In the chapter on percolation, we bound the critical probability for bootstrap percolation on the Hamming torus, as well as the critical probability for $i$-dimensional subgraphs to percolate. In the …
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Barley Yellow Dwarf of Winter Wheat: Effects on Germplasm, and Inheritance, Combining Ability, and Reciprocal Effect for Tolerance to the Barley Yellow Dwarf Virus
Investigation of the effects of the barley yellow dwarf virus (BYDV) on winter wheat germplasm showed fall infection to be more devastating than spring infection, reducing grain yield an average of 61% vs. 38% for spring infection. BYDV also decreased winter survival, plant height, number of heads, …
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Robust online motion planning with reachable sets
In this thesis we consider the problem of generating motion plans for a nonlinear dynamical system that are guaranteed to succeed despite uncertainty in the environment, parametric model uncertainty, disturbances, and/or errors in state estimation. Furthermore, we consider the case where these …
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Combining ability for yeild of imidazolinone resistant maize inbred lines under artificial and natural striga infestation
… yields, thereby compounding the food insecurity of thousands of households in sub-Saharan Africa region. In Tanzania, maize is grown on about 2 million hectares but the yield obtained is very low. It is estimated at 1.3 tons ha-1. Various control measures against striga that have been used so far …
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Inference for High-Dimensional Doubly Multivariate Data under General Conditions
… and theoretical advancements, the amount of data being generated for analysis is growing rapidly. In many cases, the number of subjects may be small, but the number of measurements taken on each subject may be very large. Consider, for example, two groups of patients. The subjects in one …
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Inference for High-Dimensional Doubly Multivariate Data under General Conditions
… and theoretical advancements, the amount of data being generated for analysis is growing rapidly. In many cases, the number of subjects may be small, but the number of measurements taken on each subject may be very large. Consider, for example, two groups of patients. The subjects in one …
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Funnel libraries for real-time robust feedback motion planning
We consider the problem of generating motion plans for a robot that are guaranteed to succeed despite uncertainty in the environment, parametric model uncertainty, and disturbances. Furthermore, we consider scenarios where these plans must be generated in real-time, because constraints such as …
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Optimization for control and planning of multi-contact dynamic motion
The fundamental promise of robotics centers on the ability to productively interact with a complex and changing world. Yet, current robots are largely limited to basic tasks in structured environments and act slowly and cautiously, afraid of incidental contact. In this thesis, we consider a class …
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Power and limitations of convex formulations via linear and semidefinite programming lifts
… and have been applied successfully in many areas of science and engineering. At the heart of such methods lies the question of obtaining a tractable description of the convex hull of a set. In this thesis we focus on the question of finding tractable representations of convex sets via the method …
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Methods of estimating repeatability and most probable producing ability in beef cattle
The purpose of this study was to determine the most accurate method of calculating the most probable producing ability (MPPA) of beef cows based on one, two or three records. A preliminary analysis of preweaning records on 9,515 calves from 4 Angus herds enrolled in the Virginia Beef Cattle …
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