A condition equivalent to global controllability in systems of vector fields

DOI10.1016/0022-0396(85)90108-1zbMath0583.58028OpenAlexW2072688453MaRDI QIDQ1069198

Kevin A. Grasse

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1016/0022-0396(85)90108-1

zbMATH Keywords

controllabilityreachable sets\(C^ 1\) vector fields

Mathematics Subject Classification ID

Attainable sets, reachability (93B03) Dynamical systems and ergodic theory (37-XX) Controllability of vector fields on (C^infty) and real-analytic manifolds (57R27)

Related Items

Controllability in codimension one ⋮ Geometrical and topological methods in optimal control theory ⋮ Local controllability does imply global controllability ⋮ On the relation between small-time local controllability and normal self- reachability ⋮ Controllability properties of nonlinear systems induced by lifting ⋮ Stability of completely controllable systems ⋮ Simulation Relations and Controllability Properties of Linear and Nonlinear Control Systems ⋮ Structure of the boundary of the attainable set in certain nonlinear systems

Cites Work

• Unnamed Item
• On accessibility and normal accessibility: The openness of controllability in the fine \(C^ 0\) topology
• A sufficient condition for the transitivity of pseudo-semigroups: Application to system theory
• Some properties of vector field systems that are not altered by small perturbations
• Topics in control theory. A seminar given at the Forschungsinstitut für Mathematik, ETH, in 1964

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