Abstract
Let F : [0,T] × R → 2Rn be a set-valued map with compact values, η : Rn → Rm be a locally Lipschitzian map, z(t) be a given trajectory, and R the reachable set at T of the differential inclusion ẋ(t) € Fo(t, x(t)). We summarize recent results with some new observations related to sufficient conditions for η(z(Τ)) € intη(R) and necessary conditions in maximum principle forms for η(z(Τ)) € ðη(R).
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