Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
751930 | Systems & Control Letters | 2016 | 6 Pages |
Abstract
Let π:E→Bπ:E→B be a finite-dimensional vector bundle whose base space is compact. In this paper, we study attraction and Lyapunov stability for control systems on EE. We prove that, under certain conditions, the concepts of Conley attractor, uniform attractor, attractor, exponential attractor, asymptotically stable set and stable set are equivalent for the zero section of π:E→Bπ:E→B.
Related Topics
Physical Sciences and Engineering
Engineering
Control and Systems Engineering
Authors
Carlos J. Braga Barros, Victor H.L. Rocha,