Attraction and Lyapunov stability for control systems on vector bundles
Let π: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, asymptotica...
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| Veröffentlicht in: | Systems & control letters 2016-06, Vol.92, p.28-33 |
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| container_title | Systems & control letters |
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| creator | Braga Barros, Carlos J. Rocha, Victor H.L. |
| description | Let π: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 π:E→B. |
| doi_str_mv | 10.1016/j.sysconle.2016.02.006 |
| format | Article |
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| source | ScienceDirect Journals (5 years ago - present) |
| subjects | Asymptotic properties Attraction Bundles Control systems Equivalence Lyapunov stability Mathematical analysis Stability Vector bundles Vectors (mathematics) |
| title | Attraction and Lyapunov stability for control systems on vector bundles |
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