Characterizations of Global Transversal Exponential Stability

We study the relationship between the global exponential stability of an invariant manifold and the existence of a positive semidefinite Riemannian metric which is contracted by the flow. In particular, we investigate how the following properties are related to each other (in the global case): 1) A...

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Veröffentlicht in:	IEEE transactions on automatic control 2021-08, Vol.66 (8), p.3682-3694
Hauptverfasser:	Andrieu, Vincent, Jayawardhana, Bayu, Praly, Laurent
Format:	Artikel
Sprache:	eng
Schlagworte:	Asymptotic stability Automatic Automation & Control Systems Contraction Control theory Engineering Engineering Sciences Engineering, Electrical & Electronic exponentially attractive invariant manifold Liapunov functions Lyapunov methods Manifolds Measurement Science & Technology Stability Technology Trajectory transversal exponential stability
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