Needle variations and almost lower semicontinuous differential inclusions
The classical version of the `Pontryagin maximum principle' relies on the construction of `needle variations' at various times \(t\) in the domain \([a,b]\) of the given reference trajectory \(\xi_{*}.\) The base purpose of this note is to explaine how the construction of needle variations can be carried out for differential inclusions rather than for case of vector fields of class \(C^{1}\) considered in classical books.
almost lower semicontinuous differential inclusions
scientific article; zbMATH DE number 1790168