A lagrange multiplier theorem for control problems with state constraints
| Autor: | Jean-Pierre Raymond, Jean-Jacques Alibert |
|---|---|
| Přispěvatelé: | Institut de Mathématiques de Toulon - EA 2134 (IMATH), Université de Toulon (UTLN), Mathématiques pour l'Industrie et la Physique (MIP), Université Toulouse Capitole (UT Capitole), Université de Toulouse (UT)-Université de Toulouse (UT)-Institut National des Sciences Appliquées - Toulouse (INSA Toulouse), Institut National des Sciences Appliquées (INSA)-Université de Toulouse (UT)-Institut National des Sciences Appliquées (INSA)-Université Toulouse III - Paul Sabatier (UT3), Université de Toulouse (UT)-Centre National de la Recherche Scientifique (CNRS), Université Toulouse 1 Capitole (UT1), Université Fédérale Toulouse Midi-Pyrénées-Université Fédérale Toulouse Midi-Pyrénées-Institut National des Sciences Appliquées - Toulouse (INSA Toulouse), Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Université Toulouse III - Paul Sabatier (UT3), Université Fédérale Toulouse Midi-Pyrénées-Centre National de la Recherche Scientifique (CNRS) |
| Rok vydání: | 1998 |
| Předmět: |
0209 industrial biotechnology
Control and Optimization Picard–Lindelöf theorem Eberlein–Šmulian theorem Fixed-point theorem 02 engineering and technology 01 natural sciences symbols.namesake Constraint algorithm 020901 industrial engineering & automation Arzelà–Ascoli theorem Lagrange multipliers in Banach spaces [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP] Applied mathematics Lagrange's four-square theorem 0101 mathematics Brouwer fixed-point theorem Mathematics Optimality conditions Fundamental theorem 010102 general mathematics Mathematical analysis 16. Peace & justice Optimal control Computer Science Applications Karush\-Kuhn\-Tucker type theorems Inequality constraints in Banach spaces Signal Processing symbols Analysis |
| Zdroj: | Numerical Functional Analysis and Optimization Numerical Functional Analysis and Optimization, 1998, 19 (7-8), pp.51-73 Numerical Functional Analysis and Optimization, Taylor & Francis, 1998, 19 (7-8), pp.51-73 |
| ISSN: | 1532-2467 0163-0563 |
| Popis: | International audience; We prove an existence theorem of Lagrange multipliers for an abstract control problem in Banach spaces. This theorem may be applied to obtain optimality conditions for control problems governed by partial differential equations in the presence of pointwise state constraints. |
| Databáze: | OpenAIRE |
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