6533b7ddfe1ef96bd1273e7f

RESEARCH PRODUCT

Relaxation of a weakly discontinuous functional depending on one control function

Uldis Raitums

subject

weakly discontinuous functionalMathematical analysisType (model theory)Optimal controlControl functionSet (abstract data type)elliptic systemoptimal controlrelaxationControl theoryModeling and SimulationQA1-939Relaxation (approximation)AnalysisMathematicsMathematics

description

The paper considers an optimal control problem of the typewhere the set M of admissible controls consists of all measurable vector‐functions h, which can take only two values h1 or h2. It is shown that the relaxation of this problem can be explicitly computed by rank‐one laminates.

yearjournalcountryeditionlanguage
2008-03-31Mathematical Modelling and Analysis
10.3846/1392-6292.2008.13.79-85http://journals.vgtu.lt/index.php/MMA/article/view/6992