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Seminar of Control System Department
January 16, 2014 15:00–16:15, Ekaterinburg, ul. S Kovalevskoi, 16, room 322
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Sigma-metric for infinite horizon control problems
D. V. Khlopin |
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Abstract:
Sigma-metric ($l_0$-metric) defined on the set of measurable controls is a powerful tool for the proof of Pontryagin maximum principle. First, it provides the convergence in measure, this gives the convergence almost everywhere. Second, the trajectory depends continuously on the control in $\Sigma$-metric. In the talk we extend these properties to the infinite horizon case.
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