A geometric approach to Catlin’s boundary systems
نویسندگان
چکیده
منابع مشابه
Boundary Geometric Control of Nonlinear Diffusion Systems
The paper addresses the boundary control of a nonlinear diffusion system submitted to Neumann actuation. The control law is designed in the framework of geometric control theory using directly the nonlinear partial differential equation model without any previous reduction. First, an equivalent linear model using the Cole-Hopf transformation is obtained, then the manipulated variable is inserte...
متن کاملA New Approach for Boundary Recognition in Geometric Sensor Networks
We describe a new approach for dealing with the following central problem in the self-organization of a geometric sensor network: Given a polygonal region R, and a large, dense set of sensor nodes that are scattered uniformly at random in R. There is no central control unit, and nodes can only communicate locally by wireless radio to all other nodes that are within communication radius r, witho...
متن کاملA Geometric Approach to Systems with Multiple Time Scales
Physical systems often involve several processes that are evolving on di erent time scales. The resulting equations have a speci c structure which can be exploited to great e ect and the kind of results that can be obtained, at least with a certain goal in mind, are the subject of this paper. On account of the physical motivation for the di erent scales, there are many areas in which applicatio...
متن کاملA geometric approach to stability of linear reset systems
In this paper, a class of linear dynamical systems, called linear reset systems, is studied from a geometric point of view. Their state satisfies a system of linear differential equations (with constant coefficients) but they are provided with a mechanism which resets the state when a certain condition is met. In particular, when the dynamical system without reset is stable, sufficient conditio...
متن کاملA Geometric Approach to Invariant Sets for Dynamical Systems
In this article, we present a geometric framework to study invariant sets of dynamical systems associated with differential equations. This framework is based on properties of invariant sets for an area functional. We obtain existence results for heteroclinic and periodic orbits. We also implement this approach numerically by means of the steepest descent method.
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: Annales de l'Institut Fourier
سال: 2019
ISSN: 1777-5310
DOI: 10.5802/aif.3304