Properties of convex sets with application to differential theory of multivalued functions

DOI10.1016/0362-546X(78)90006-8zbMath0384.49027OpenAlexW2088558912MaRDI QIDQ4164478

Pietro Zecca, Gianna Stefani

Publication date: 1978

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(78)90006-8

Mathematics Subject Classification ID

Controllability (93B05) Distance geometry (51K99) Attainable sets, reachability (93B03)

Related Items (8)

Differentiable selections of multifunctions and their applications ⋮ On the differentiability of set-valued functions defined on a Banach space and mean value theorem ⋮ A tracking problem for uncertain vector systems ⋮ On diffeologies for power sets and measures ⋮ Local controllability of multivalued differential equations ⋮ Regularity, calmness and support principle ⋮ The contingent and the paratingent as generalized derivatives for vector-valued and set-valued mappings ⋮ Multivalued mappings

Cites Work

• A differential calculus for multifunctions
• Trajectory integrals of set valued functions
• Asymptotic behavior for differential equations which cannot be locally linearized
• Uniqueness of optimal trajectories for non-linear control systems
• Orbits of Families of Vector Fields and Integrability of Distributions
• A Generalization of Chow’s Theorem and the Bang-Bang Theorem to Nonlinear Control Problems
• An Embedding Theorem for Spaces of Convex Sets
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