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.
Results
Showing 1 to 9 of 9 for “"Infinite dimensional spaces"”.
-
H-Infinity Control in Infinite-Dimensional Spaces and Related Partial Differential Equations
The eighth chapter studies the solvability of HJI equations that arise in nonlinear $H\sp{\infty}$ control problems where the system is affine in the control and the disturbance. In each case the existence of viscosity supersolutions is proven.
-
Selection theory for infinite dimensional spaces and continuous single-valued approximations to upper semi-continuous multivalued mappings
… of topology; if TX and Y are topological spaces and A is a closed subset of X and f:A —> Y is a continuous function, under what conditions is there »a continuous function fzx + Y such‘ that fIA = f ? Two key theorems of topology deal with this problem. They are the Tietze Extension A …
-
Extension of some theorems of complex functional analysis to linear spaces over the quaternions and Cayley numbers
… Analysis are considered in the setting of linear spaces over the division rings of the real Quaternions and the real Cayley algebra. The basic structure of Banach spaces over these division rings and the rings of bounded operators on these spaces is developed. Examples of finite and infinite …
-
Variable Selection and Decision Trees: The DiVaS and ALoVaS Methods
… conditions for consistency of decision trees in infinite dimensional spaces. Our examples and case studies use both simulated and real data cases with moderate to large numbers of covariates. The examples support the claim that our approach is to be preferred in large dimensional datasets. …
-
Geometric quantization and dynamical constructions on the space of Kähler metrics
… geometric quantization: Can the geometry of the infinite-dimensional space of Kähler metrics be approximated in terms of the geometry of the finite-dimensional spaces of FubiniStudy Bergman metrics sitting inside it? We restrict to toric varieties and prove the following result: Given a compact …
-
Reduced Order Controllers for Distributed Parameter Systems
… parameter systems (DPS) are systems defined on infinite dimensional spaces. This includes problems governed by partial differential equations (PDEs) and delay differential equations. In order to numerically implement a controller for a physical system we often first approximate the PDE and the …
-
Modeling, Approximation, and Control for a Class of Nonlinear Systems
… times H$, where $mathbb{R}^n$ is a n-dimensional Euclidean space and $H$ is a infinite dimensional Hilbert space. Specifically, two classes of nonlinear systems are studied in this dissertation. The first topic develops a novel framework for adaptive estimation of nonlinear systems …
-
Stochastic Mean Field Games within Complex Systems and Interacting Particle Frameworks
… measures are defined over the entire space with infinite mass. These singular distributions are used to model particle velocities in systems where traditional velocity distributions do not apply. As a result, the particle positions in such systems no longer conform to conventional configurations …
-
Fast Sweeping Methods for Steady State Hyperbolic Conservation Problems and Numerical Applications for Shape Optimization and Computational Cell Biology
… a first order approximation. The method works in spaces of any number of dimensions, even in infinite-dimensional spaces. This method can converge more efficiently than methods which do not require derivative information; however, in certain circumstances the "cost function space" may become …