Balder, E. J. A general approach to lower semicontinuity and lower closure in optimal control theory. (English) Zbl 0549.49005 SIAM J. Control Optimization 22, 570-598 (1984). The paper presents a self contained approach to lower closure and lower semicontinuity in optimal control theory. Essentially this approach is an extension of relaxed control theory. Proofs make use of relaxation in all but one variable and of Jensen’s inequality and Lyapunov’s theorem. Reviewer: R.Schianchi Cited in 4 ReviewsCited in 78 Documents MSC: 49J45 Methods involving semicontinuity and convergence; relaxation 49M20 Numerical methods of relaxation type 49Q15 Geometric measure and integration theory, integral and normal currents in optimization 28A75 Length, area, volume, other geometric measure theory 93B05 Controllability Keywords:Normal integrands; lower closure; lower semicontinuity; relaxed control theory PDFBibTeX XMLCite \textit{E. J. Balder}, SIAM J. Control Optim. 22, 570--598 (1984; Zbl 0549.49005) Full Text: DOI