Numerical Computational Improvement of the Stable-Manifold Method for Nonlinear Optimal Control
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DOI: 10.1016/j.ifacol.2017.08.777
Abstract: Abstract Two numerical computational techniques are presented for improvement of the stable-manifold method, which is effective for nonlinear optimal control. The first technique is for generation of points on the stable manifold in a robust… read more here.
Keywords: manifold method; method; stable manifold; improvement stable ... See more keywords
Global linearization and fiber bundle structure of invariant manifolds
Sign Up to like & getrecommendations! Published in 2018 at "Nonlinearity"
DOI: 10.1088/1361-6544/aaca8d
Abstract: We study global properties of the global (center-)stable manifold of a normally attracting invariant manifold (NAIM), the special case of a normally hyperbolic invariant manifold (NHIM) with empty unstable bundle. We show that the global… read more here.
Keywords: stable foliation; bundle structure; stable manifold; global stable ... See more keywords