6533b7ddfe1ef96bd1274779

RESEARCH PRODUCT

Optimality Conditions for Non-Qualified Parabolic Control Problems

D. TibaT. MännikköM. Bergounioux

subject

0209 industrial biotechnologyAugmented Lagrangian method010102 general mathematicsMathematicsofComputing_NUMERICALANALYSIS02 engineering and technologyState (functional analysis)Slater's conditionOptimal control01 natural sciencessymbols.namesake020901 industrial engineering & automationLagrange multipliersymbolsApplied mathematicsNumerical tests0101 mathematicsControl (linguistics)Mathematics

description

We consider parabolic state constrained optimal control problems where the usual Slater condition is not necessarily satisfied. Instead, a weaker interiority property is assumed. Optimality conditions with a Lagrange multiplier are given. As an application we present an augmented Lagrangian algorithm. Numerical test results are included.

yearjournalcountryeditionlanguage
1994-01-01
https://doi.org/10.1007/978-3-0348-8530-0_3