Some topological covering theorems with applications to control theory

DOI10.1016/0022-247X(83)90153-1zbMath0529.93010MaRDI QIDQ787929

Kevin A. Grasse

Publication date: 1983

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

complete controllabilitytopological covering

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Controllability (93B05) Continuous maps (54C05) Nonlinear systems in control theory (93C10) Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Attainable sets, reachability (93B03) Control/observation systems governed by ordinary differential equations (93C15) Controllability of vector fields on (C^infty) and real-analytic manifolds (57R27)

Related Items (5)

System structure: stability and controllability ⋮ Geometric control theory ⋮ Geometrical and topological methods in optimal control theory ⋮ Robustness under control sampling of reachability in fixed time for nonlinear control systems ⋮ Decomposition and control

Cites Work

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• The controllability of certain nonlinear planar systems
• Perturbations of Nonlinear Controllable Systems
• On Certain Questions in the Theory of Optimal Control

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