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 32 for “"equality constraints"”.
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An augmented Lagrangian algorithm for optimization with equality constraints in Hilbert spaces
… dimensional optimization problem subject to equality constraints is as follows: First one proves convergence for a basic algorithm in the Hilbert space setting. Then one discretizes the given spaces and operators in order to make numerical computations possible. Finally, one constructs a …
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Um algorítmo de otimização para projeto de estruturas de grande porte
… is described. The basic algorithm for non equality constraints is developed by introducing slack variables in a previously derived algorithm for strict equality constraints. The method generates a sequence of feasible designs and it is shown that if the sequence does converge, it will …
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Structural Optimization Using Geometric Programming and the Integrated Formulation
… and compatibility, are treated as explicit equality constraints and the problem solved as a large scale nonlinear mathematical programming problem. In contrast to current methods of optimization where analysis and design are separated into two distinct phases, the integrated approach does …
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Nonlinear contraction tools for constrained optimization
… speed of the system on the tangent space of the constraints, we derive generalizations of Lagrange parameters. After presenting some initial examples that show the relations between contraction and optimization, we derive a contraction theorem for nonlinear systems with equality constraints. The …
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Four-Craft Virtual Coulomb Structure Analysis for 1 to 3 dimensional Geometries
… a four spacecraft formation has additional constraints that need to be satisfied for the individual charges on the spacecraft to be unique and real. A spacecraft must not only satisfy the previously developed inequality constraints to yield a real charge solution, but it must also satisfy …
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Motion Planning along Manifolds with Geodesic Convexity and Analytic Inverse Kinematics
… spaces that arise when planning with task-space constraints. In this thesis, we treat the problem of motion planning along Riemannian manifolds, a broader class of spaces that encompasses many of the problems of interest. In the first chapter, we present a generalization of the graph of convex …
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Optimal maneuver guidance with sensor line of sight constraint
… as performance goals and in combination as state equality constraints for design tradeoff analysis. In conjunction with vehicle flight constraints, a sensor line-of -sight (LOS) angle limit is imposed as a control variable inequality constraint to provide a sensor field of regard influence on the …
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Efficient Numerical Methods for Initial Value Control Problems for Diffeomorphic Image Registration
… differential equations enter the formulation as equality constraints. We consider hyperbolic transport equations as well as Euler Poincaré equations associated with the group of diffeomorphisms. The contributions of this thesis are three-fold: (i) We study the performance of the graphics …
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Accelerated algorithms for constrained optimization and control
Nonlinear optimization with equality and inequality constraints is a ubiquitous problem in several optimization and control problems in large-scale systems. Ensuring feasibility along with reasonable convergence to optimal solution remains an open and pressing problem in this area. A class of …
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Simultaneous Modeling and Optimization of a Cascade of Electrochemical Reactors
… of nonlinear equations becomes part of the equality constraints in a nonlinear program in optimization. A successive quadratic programming method as implemented in the program SQPHP was used to solve the optimization model. Sensitivity of the variables at the optimum was determined through …
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Simultaneous sensor calibration and path estimation
… subsequently the measurements can be treated as equality constraints in the optimization.
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Multivariable isoperformance methodology for precision opto-mechanical systems
… The performance outputs are then treated as equality constraints and the non-uniqueness of the design space is exploited by trading key disturbance, plant, optics and controls parameters with respect to each other. Three algorithms (branch-and-bound, tangential front following and vector …
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Nonlinear mixed finite element analysis for contact problems by a penalty constraint technique
… An algorithm based on the penalty technique for equality constraints has been developed to handle the interface boundary conditions arising in a contact problem. The algorithm automatically tracks potential contact nodes, detects overlap during any load step and iteratively restores geometric …
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Foundations of the Geometric Mechanics Udwadia-Kalaba Framework for Rigid Body Constrained Motion Analysis
… has been historically applied to systems with equality constraints. However, it has not been formulated for usage with inequality constraints. Here, the implementation of slack and excess variables to treat this class of constraints is presented for usage within the UK formulation for the point …
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New approaches to idea generation and consumer input in the product development process
… . This feasible set is a polyhedron defined by equality constraints, each paired-comparison question yielding a new constraint. Polyhedral question design attempts to reduce the feasible set of parameters as rapidly as possible. Analytic Center estimation relies on the center of the feasible …
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Xqx Based Modeling For General Integer Programming Problems
… integer programming (IP) problems with in- equality and equality constraints using XQX. We begin with the definition of IP problems folloby their practical applications, and then present the existing XQX based models to handle such problems. We then present our XQX model for general IP …
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ZStream : a cost-based query processor for composite event detection
… for a simple sequence pattern involving only equality constraints between its components is an NP-complete problem. Furthermore, simple sequentiality is not enough to express many real world patterns, which also involve conjunction (e.g., concurrent events), disjunction (e.g., a choice between …
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Statistical Inference For High Dimensional Models In Genomics And Microbiome
… develop a generalized linear model with linear constraints on regression coefficients and a related debiased procedure to obtain asymptotically unbiased and normally distributed estimates. Application of this method to an inflammatory bowel disease (IBD) study identifies several gut bacterial …
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Quadratic programming as an extension of linear programming
… a function, when the variables are subject to inequality and equality constraints". The term "Linear Programming" corresponds to the case where, the function to be maximized (the so called objective function) and the equality and inequality constraints are linear. The term "Non-Linear …
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