On infinite dimensional control systems with state and control constraints
Papageorgiou, Nikolaos S. (1991)
Portugaliae mathematica
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Papageorgiou, Nikolaos S. (1991)
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For a class of multivalued contractions with nonclosed, nonconvex values, the set of all fixed points is proved to be nonempty and arcwise connected. Two applications are then developed. In particular, one of them is concerned with some properties of the set of all classical trajectories corresponding to continuous controls for a given nonlinear control system.
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