Weak lower semicontinuity of integral functionals

descriptionPublicationkeyboard_double_arrow_right Article 01 May 1976 English Publisher:Springer Science and Business Media LLCJournal:Journal of Optimization Theory and Applications, volume 19, pages 3-16 (issn: 0022-3239, eissn: 1573-2878,

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Authors: Olech, C.;

doi: 10.1007/bf00934048

Weak lower semicontinuity of integral functionals

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Abstract

A lower semicontinuity theorem for integral functionals is proved underL1-strong convergence of the trajectories andL1-weak convergence of the control functions. An alternative statement is also proved under pointwise convergence of the trajectories.

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Keywords

Controllability, Methods involving semicontinuity and convergence; relaxation, Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems)

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