Attraction and Lyapunov stability for control systems on vector bundles

作者：Braga Barros Carlos J; Rocha Victor H L^*

来源：Systems & Control Letters, 2016, 92: 28-33.

DOI：10.1016/j.sysconle.2016.02.006

• Attraction
• Lyapunov stability
• Control systems
• Vector bundles

Let pi : 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 E. 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 pi : E -> B.

• 出版日期2016-6