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arXiv · 1805.03085

Asymptotic bp-stabilization of a given closed invariant set

Razvan M. Tudoran
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Abstract

Given a closed invariant set $\mathcal{C}$ of a dynamical system generated by a smooth vector field, $X$, for each $λ> 0$, we construct a control vector field, $X_{0}^λ$, such that the perturbed dynamics generated by the vector field $X+X_{0}^λ$, globally asymptotically bp-stabilizes the invariant set $\mathcal{C}$, that is, $\mathcal{C}$ attracts every bounded positive orbit of the perturbed dynamical system.

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Razvan M. Tudoran. 2018-05-07. Asymptotic bp-stabilization of a given closed invariant set. https://doi.org/10.1016/j.jde.2019.04.013

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