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A general approach to lower semicontinuity and lower closure in optimal control theory. (English) Zbl 0549.49005
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

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
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