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 29 for “"invertibility"”.
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Quantitative invertibility of random matrices : a combinatorial perspective
In this thesis, we develop a novel framework for investigating the lower tail behavior of the least singular value of random matrices - a subject which has been intensely studied in the past two decades. Our focus is on obtaining high probability bounds, rather than on estimating the least singular …
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Invertibility and observability of switched systems with inputs and outputs
… In this thesis, we analyze the properties of invertibility and observability for switched systems and study their related applications in system design. The common facet to both these problems involves the extraction of unknown variables from the knowledge of the output. It is well known that, …
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Feedback linearization, invertibility of map, zero dynamics, and nonlinear control of the space station
Based on feedback linearization and ultimate boundedness theory, a new approach to attitude control of the space station using control moment gyros (CMG's) is presented. A linearizing transformation is derived to obtain a simple linear representation of the nonlinear pitch axis dynamics. A feedback …
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Invertibility and Input -to -State Stability of Switched Systems and Applications in Adaptive Control
As control applications of switched systems, we apply our stability, results for switched systems to the problem of adaptively controlling uncertain nonlinear plants and linear time-varying plants. For uncertain nonlinear plants with hounded noise and disturbances, we show that using supervisory …
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LONG TIME BEHAVIOR OF LINEAR AND NONLINEAR WAVES:LARGE LARGE AMPLITUDE TRAVELING QUASI-PERIODIC SOLUTIONS IN FLUID MECHANICS AND DYNAMICS OF LINEAR WAVE EQUATIONS
… The key point in this strategy is to study the invertibility of the linearized operator at a quasi-periodic approximate solution, giving ``good'' tame estimates. In both cases the linearized operator are unbounded diagonal operators plus a large amplitude perturbation and therefore for the …
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Algorithms for Reconstruction of hidden 3D shapes using diffused reflections
… feasibility, uniqueness(in solution domain) and invertibility of this problem. We also aim at formulating the forward and inverse theory of secondary and tertiary diffuse scattering using ideas from tomography. We aim at developing tomography based approaches and sparsity based methods to recover …
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English music theory c.1590-c.1690 : the modal systems, changing concepts, and the development of new classification systems
… This leads to the theoretical recognition of the invertibility of intervals. In England, in particular the growing circle of natural philosophers and the Royal Society of London seem to play an important role by asking inquisitive questions. Seeing the octave as a circle (and hence also the …
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Some results on symmetric signings
… eigenvalues. We exhibit a stark contrast between invertibility and the above-mentioned spectral properties by presenting a combinatorial characterization of matrices with invertible symmetric signings and an efficient algorithm using this characterization to verify whether a given matrix has an …
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Jordan homomorphisms and derivations on algebras of measurable operators
… raised the question whether unital linear invertibility preserving maps between unital algebras are Jordan homomorphisms. This question is still unanswered, and the progress that has been made has mainly been in the context of Banach algebras, including C*-algebras and von Neumann algebras. …
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Fréchet Sensitivity Analysis and Parameter Estimation in Groundwater Flow Models
… of the parameter to solution map. This includes invertibility (known as identifiability) and differentiability properties of the map. For differentiability, we expand existing results on Fréchet sensitivity analysis to convection diffusion equations and groundwater flow equations. This is …
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A Linear Immersed Finite Element Space Defined by Actual Interface Curve on Triangular Meshes
… of the IFE shape functions is proven by the invertibility of the well-known Sherman-Morrison system. Furthermore we derive a group of fundamental identities about the IFE shape functions, which show that the two polynomial components in an IFE shape function are highly related. Finally we …
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Critical perturbations of elliptic operators by lower order terms
… has good properties (as far as boundedness and invertibility of certain associated solution operators), then the same is true for L₁, whenever the coefficients of these two operators are close in certain L[superscript p] spaces. Our approach is through the theory of layer potentials, though the …
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Design for an invertible water bottle to facilitate cleaning and promote sustainable water bottle usage
… of the pouch and the water bottle top to aid invertibility was the most feasible solution. The final water bottle design, created as a CAD model, consists of three components: a top, a bottom, and an invertible pouch made of a soft plastic. The invertible pouch is held in place and made …
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Signed coded exposure sequences for velocity and shape estimation from a single photo
… I analyze the space of such codes with invertibility analysis and a cross-correlation metric. Motion estimation is important to a number of computer vision problems such as tracking, segmentation and recognition. New emerging hardware, in the commercial and research domains, provides …
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Diagnostic Checking, Time Series and Regression
… in nite variances, testing for stationarity and invertibility, and estimating parameters from stable distributions. Many illustrative applications are given. In this thesis, it has been shown that the classical ordinary least squares regression may produce smaller p-values than it should due to …
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Probabilistic Topologies with Applications in Security and Resilience of Multi-Robot Systems
… for the topological properties of system left-invertibility and (r, s)-robustness that respectively characterize the security and resilience of an MRS. In our modeling, we use binary decision diagrams, convolutional neural networks, matroid theory and more to tackle the problems related to …
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Multicomponent seismic data analysis in the tau-p domain
… variant of slant stacking, in the time domain. Invertibility of the transform is secured by iteration over the residual energy. A better focused version of the velocity profile is achieved. I extend conventional slant stacking of single component data to multicomponent data by performing a …
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Nonlinear, conditionally stable, singularly perturbed boundary-relation problems
… boundary relations L and R subject to the invertibility of a certain linear operator. The proof makes use of the local invariant manifolds of the boundary layer equation along solutions of the reduced differential equation. The vectors x and y may belong to arbitrary Banach spaces.
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On two utility maximization problems
… initial wealth vector is provided in terms of invertibility of a map from ℝᴺ to ℝᴺ. As a consequence of the general theorem, we derive existence and uniqueness of Nash equilibria for an arbitrary initial wealth vector, as well as their convergence, in two special cases. The second part studies …
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Complexes with invert points
… isomorphic to a subgroup of H<sub>p-1</sub>(L). Invertibility properties of the i-skeleton of an n-complex are discussed, for i < n. Also, a method is described by which an n-complex which is invertible at certain points may be expressed as the union of subcomplexes, ca.ch of which is invertible …
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