On accessibility and normal accessibility: The openness of controllability in the fine \(C^ 0\) topology

DOI10.1016/0022-0396(84)90032-9zbMath0553.93012OpenAlexW2017461839MaRDI QIDQ759696

Kevin A. Grasse

Publication date: 1984

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(84)90032-9

zbMATH Keywords

vector fieldscomplete controllabilityaccessiblitynormal accessiblity

Mathematics Subject Classification ID

Controllability (93B05) Nonlinear systems in control theory (93C10) Attainable sets, reachability (93B03) Controllability of vector fields on (C^infty) and real-analytic manifolds (57R27)

Related Items

Geometric control theory ⋮ Stably ergodic dynamical systems and partial hyperbolicity ⋮ Geometrical and topological methods in optimal control theory ⋮ On the relation between small-time local controllability and normal self- reachability ⋮ Robustness under control sampling of reachability in fixed time for nonlinear control systems ⋮ Finite-time and exact-time controllability on compact manifolds ⋮ Stability of completely controllable systems ⋮ Local controllability in 3-manifolds ⋮ Application of foliation theory and approximative groups to controllability analysis of nonlinear systems ⋮ Local controllability of scalar input systems on 3-manifolds ⋮ A condition equivalent to global controllability in systems of vector fields ⋮ Geometric conditions for local controllability ⋮ Structure of the boundary of the attainable set in certain nonlinear systems

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