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Chattering variational limits of control systems. (English) Zbl 0780.49012

Summary: Variational convergence is developed for optimal control problems depending on time-varying parameters. Systems with chattering parameters serve then as variational limits when the parameters are rapidly oscillating. Continuity of the value, robustness of controls and continuous dependence of optimal controls are examined.

MSC:

49J45 Methods involving semicontinuity and convergence; relaxation
49N99 Miscellaneous topics in calculus of variations and optimal control
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