of the Thesis Practical control design using constrained Hinfinity by Sergio Lopez Lopez Master of Science in Mechanical and Aerospace Engineering University of California, Irvine, 2007 Professor Athanasios Sideris, Chair A framework for the implementation and design of practical controllers is presented. The methodology used is divided and presented in two stages, identification and design. Th...

We examine the relationship between infinity harmonic functions, absolutely minimizing Lipschitz extensions, strong absolutely minimizing Lipschitz extensions, and absolutely gradient minimizing extensions in CarnotCarathéodory spaces. Using the weak Fubini property we show that absolutely minimizing Lipschitz extensions are infinity harmonic in any sub-Riemannian manifold.

A laboratory facility to measure the point-spread function (PSF) of water with the addition of scattering layers is described. The PSF was measuredby using an approximately Lambertian source and a camera that viewed this source but focused at infinity. Measurements for various optical path lengths with the scattering layer in three separate regions, i.e., near the source, near the camera, and a...

We consider a linear sequence of 'nodes', each of which can be in state 0 ('off') or 1 ('on'). Signals from outside are sent to the rightmost node and travel instantaneously as far as possible to the left along nodes which are 'on'. These nodes are immediately switched off, and become on again after a recovery time. The recovery times are independent exponentially distributed random variables. ...

By studying connectedness at infinity of systolic groups we distinguish them from some other classes of groups, in particular from the fundamental groups of manifolds covered by euclidean space of dimension at least three. We also study semistability at infinity for some systolic groups.

We study the moments of the symmetric power L-functions of primitive forms at the edge of the critical strip twisted by the square of the value of the standard L-function at the center of the critical strip. We give a precise expansion of the moments as the order goes to infinity. CONTENTS

The value of a health state is typically described relative to the value of an optimal state, specifically as a ratio ranging from unity (equal to optimal health) to negative infinity. Incorporating potentially infinite values is a challenging issue in the econometrics of health valuation. In this paper, we apply a directional statistics approach based on the assumption of wavering preference. ...

Suppose u, v are different currencies, and the exchange rate is C(u, v) (i.e., 1 unit of v is worth C(u, v) units of u). We set the length of the edge as w(u, v) = logC(u, v). We take the log because, in currency exchange, the rates are multiplicative factors, but in shortest path, path length is defined as sum of edge lengths. By this conversion, the length of a path is log of the total exchan...

This paper proposes a robust H-infinity control design of a single unit differential type Wheeled Mobile Robot. Mobile robots are non holonomic systems as their constraint equations are not integrable. Considering the constraints and combining the kinematics and dynamics of the system, a linearized model is obtained. Taking into account the exogenous inputs in the form of model uncertainties an...