Quick reachability and proper extension for problems with unbounded controls

Abstract : For a CONTROL SYSTEM of the form _ x = f (x; u; v) + Σm =1 g (x)u_ ; on [0;T]; (x; u)(0) = ( x; u); with x : [0;T] ! IRn; u : [0;T] ! U IRm; v : [0;T] ! V IRl ; we rely on the notion of LIMIT SOLUTION, and we investigate whether minimum problems with L1controls are PROPER EXTENSIONS of regular problems with more regular controls (AC or BV). Motivation: optimality conditions, numerical methods, etc.
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https://hal.inria.fr/hal-01024111
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Submitted on : Tuesday, July 15, 2014 - 4:15:59 PM
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Maria Soledad Aronna, Monica Motta, Franco Rampazzo. Quick reachability and proper extension for problems with unbounded controls. NETCO 2014, 2014, Tours, France. ⟨hal-01024111⟩

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