Directional convexity and finite optimality conditions

DOI10.1016/0022-247X(87)90178-8zbMath0627.49008WikidataQ59264244 ScholiaQ59264244MaRDI QIDQ1092399

Alberto Bressan

Publication date: 1987

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

zbMATH Keywords

transversality conditionreachable set\(\Lambda \)-convexity

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Attainable sets, reachability (93B03) Control/observation systems governed by ordinary differential equations (93C15) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Optimality conditions for problems involving ordinary differential equations (49K15)

Related Items

Sufficient conditions for nesting the reachable sets of two smooth control systems of constant rank and linear in phase variables ⋮ The convexity of the reachable set for a bilinear controllable system ⋮ Geometrical and topological methods in optimal control theory ⋮ On linear transformations of intersections ⋮ Sufficient conditions for local controllability and high-order necessary conditions for optimality. A differential-geometric approach.

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