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
93, American Mathematical Society, Providence, RI, 2008
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
verdicts
UNVERDICTED 2representative citing papers
Necessary and sufficient conditions are derived for the existence of C^k linearizing embeddings of flows on connected state spaces that are compact or contain a nonempty compact attractor.
citing papers explorer
-
Stabilizability of first-order dynamics in second-order systems
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
-
Linearizability of flows by embeddings
Necessary and sufficient conditions are derived for the existence of C^k linearizing embeddings of flows on connected state spaces that are compact or contain a nonempty compact attractor.