Upper and lower semicontinuous differential inclusions: A unified approach

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13 Citations (SciVal)


This paper is concerned with the differential inclusion: x(t) ε R(t, x(t)), R being a multifunction from R × Rn into Rn with nonempty compact values. The connection between control systems and differential inclusions is well known. If f is a continuous map from R × Rn × Rm into Rn and U is a compact subset of Rm, then the set of trajectories for the system x(t) = f(t, x(t), u(t)), u(t) ε U a.e.

Original languageEnglish (US)
Title of host publicationNonlinear Controllability and Optimal Control
PublisherCRC Press
Number of pages12
ISBN (Electronic)9781351428330
ISBN (Print)0824782585, 9780824782580
StatePublished - Jan 1 2017

All Science Journal Classification (ASJC) codes

  • General Mathematics


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