Time-optimal parabolic boundary control problems with state constraints
- 1 January 1981
- journal article
- research article
- Published by Taylor & Francis in Numerical Functional Analysis and Optimization
- Vol. 3 (3) , 285-300
- https://doi.org/10.1080/01630568108816091
Abstract
This paper deals with the time-optimal problem for boundary control of parabolic differential equations. In addition to the usual control constraint a rather general state constraint is admitted. The target set is assumed to have an interior point with respect to the topology induced by the maximum norm. An existence theorem and a maximum principle are derived for this problem. Moreover, for a special case a generalized bang-bang principle is proved.Keywords
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