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W Jongeneel, E Moulay, Topological O bstructions to S tability, S tabilization , SpringerBriefs in Electrical, Computer Engineering, Springer, Cham · 2023

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math.OC 1

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2026 1

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Stabilizability of first-order dynamics in second-order systems

math.OC · 2026-04-12 · unverdicted · novelty 7.0

Fully actuated second-order systems can globally exponentially stabilize any smooth vector field on compact manifolds to reproduce first-order dynamics; underactuated systems on manifolds with nonzero Euler characteristic cannot stabilize almost all such vector fields, including those with isolated

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  • Stabilizability of first-order dynamics in second-order systems math.OC · 2026-04-12 · unverdicted · none · ref 18

    Fully actuated second-order systems can globally exponentially stabilize any smooth vector field on compact manifolds to reproduce first-order dynamics; underactuated systems on manifolds with nonzero Euler characteristic cannot stabilize almost all such vector fields, including those with isolated