On Hartman′s Linearization Theorem and Palmer′s Linearization Theorem
نویسندگان
چکیده
منابع مشابه
Bochner’s Linearization Theorem
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].
متن کاملA geometric approach to Conn's linearization theorem
We give a soft geometric proof of the classical result due to Conn stating that a Poisson structure is linearizable around a singular point (zero) at which the isotropy Lie algebra is compact and semisimple.
متن کاملA Linearization Technique for Multivariate Polynomials Using Convex Polyhedra Based on Handelman-Krivine's Theorem
We present a new linearization method to over-approximate non-linear multivariate polynomials with convex polyhedra. It is based on Handelman-Krivine’s theorem and consists in using products of constraints of a polyhedron to over-approximate a polynomial on this polyhedron. We implemented it together with two other linearization methods that we will not detail in this paper, but that we shall u...
متن کاملThe connection between computability of a nonlinear problem and its linearization: The Hartman-Grobman theorem revisited
As one of the seven open problems in the addendum to their 1989 book Computability in Analysis and Physics [21], Pour-El and Richards asked, “What is the connection between the computability of the original nonlinear operator and the linear operator which results from it?” Yet at present, systematic studies of the issues raised by this question seem to be missing from the literature. In this pa...
متن کاملOn Nonregular Feedback Linearization
This paper investigates the use of nonregular (not necessarily regular) static/dynamic state feedbacks to achieve feedback linearization of affine nonlinear systems. First, we provide an example which is nonregular static feedback linearizable but is not regular dynamic feedback linearizable. Then, we present some necessary conditions as well as sufficient conditions for nonregular feedback lin...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 1995
ISSN: 0022-247X
DOI: 10.1006/jmaa.1995.1205