This paper deals with the use of extra freedom in the exact linearization technique. Firstly, the freedom in choosing the coordinate transformation and nonlinear state feedback for the exact linearization is clarified. Secondly, a controller design strategy for the transient behavior improvement in the presence of impulsive disturbances is shown. Finally, numerical and experimental examples exh...

This paper presents a methodology to solve maneuver regulation problems which is based on transverse feedback linearization. Necessary and sufficient conditions for the linearization of dynamics transverse to an embedded submanifold of the state space are presented. Various examples illustrate the main features of this framework.

The usage of SVG (Scaleable Vector Graphics) creates new possibilities as well as new challenges for the accessibility of Web sites. This paper presents a metadata vocabulary to describe the information content of an SVG file geared towards accessibility. When used with a suitable tool, this metadata description can help in generating a textual (“linear”) version of the content, which can be us...

Syntactic linearization algorithms take a bag of input words and a set of optional constraints, and construct an output sentence and its syntactic derivation simultaneously. The search problem is NP-hard, and the current best results are achieved by bottom-up bestfirst search. One drawback of the method is low efficiency; and there is no theoretical guarantee that a full sentence can be found w...

This is an expository paper for the purposes of the course Differentiable Manifolds II, which took place in Spring 2014 at UIUC. After reviewing some basic facts on group actions, we include a modern version of the proof of Bochner’s Linearization Theorem from the book of Duistermaat and Kolk [5].

Piracy is a persistent headache for software companies that try to protect their assets by investing both time and money. Program code obfuscation as a sub-field of software protection is a mechanism widely used toward this direction. However, effectively protecting a program against reverse-engineering and tampering turned out to be a highly non-trivial task that still is subject to ongoing re...

This paper presents an (innnite dimensional) geometric framework for control system, based on innnite jet bundles, where a system is represented by a single vector eld and dynamic equivalence (to be precise : equivalence by endogenous dynamic feedback) is conjugation by diieomorphisms. These diieomorphisms are very much related to Lie-BB acklund transformations. It is proved in this framework t...

We review the linearization of Poisson brackets and related problems, in the formal, analytic and smooth categories.

The new Ka-band communications services require highly linear, high power amplifiers (HPAs). Traveling wave tube amplifiers (TWTAs) offer the best millimeter wave HPA performance in terms of power and efficiency, but are inferior to solid state power amplifiers (SSPAs) in linearity. This paper discusses techniques for improving millimeter wave HPA linearity. The significance and methods for eva...