Upper and lower semicontinuous differential inclusions: A unified approach

Research output: Chapter in Book/Report/Conference proceedingChapter

12 Scopus citations

Abstract

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
Pages21-32
Number of pages12
ISBN (Electronic)9781351428330
ISBN (Print)0824782585, 9780824782580
DOIs
StatePublished - Jan 1 2017

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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  • Cite this

    Bressan, A. (2017). Upper and lower semicontinuous differential inclusions: A unified approach. In Nonlinear Controllability and Optimal Control (pp. 21-32). CRC Press. https://doi.org/10.1201/9780203745625