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On a bang-bang principle for non-linear systems. (English) Zbl 0445.49012

MSC:
49J30 Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.)
49J45 Methods involving semicontinuity and convergence; relaxation
46A11 Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.)
54C20 Extension of maps
26D15 Inequalities for sums, series and integrals
93C10 Nonlinear systems in control theory
93B05 Controllability
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