Back to Search
Start Over
ON INTEGER OPTIMAL CONTROL WITH TOTAL VARIATION REGULARIZATION ON MULTIDIMENSIONAL DOMAINS.
- Source :
-
SIAM Journal on Control & Optimization . 2023, Vol. 61 Issue 6, p3415-3441. 27p. - Publication Year :
- 2023
-
Abstract
- We consider optimal control problems with integer-valued controls and a total variation regularization penalty in the objective on domains of dimension two or higher. The penalty yields that the feasible set is sequentially closed in the weak-\ast topology and closed in the strict topology in the space of functions of bounded variation. In turn, we derive first-order optimality conditions of the optimal control problem as well as trust-region subproblems with partially linearized model functions using local variations of the level sets of the feasible control functions. We also prove that a recently proposed function space trust-region algorithm---sequential linear integer programming---produces sequences of iterates whose limits are first-order optimal points. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 03630129
- Volume :
- 61
- Issue :
- 6
- Database :
- Academic Search Index
- Journal :
- SIAM Journal on Control & Optimization
- Publication Type :
- Academic Journal
- Accession number :
- 174808606
- Full Text :
- https://doi.org/10.1137/22M152116X