Suchergebnisse - Optimality conditions for problems in abstract spaces

Optimality Conditions for Control Problems Governed by Abstract Semilinear Differential Equations in Complex Banach Spaces: Optimality conditions for control problems governed by abstract semilinear differential equations in complex Banach spaces

Autoren: Andrzej Nowakowski Urszula Ledzewicz

Quelle: Journal of Applied Analysis. 3

Schlagwörter: infinite-dimensional complex Banach space, sufficient conditions for optimality, 0209 industrial biotechnology, Schrödinger operator, Schrödinger equation, semilinear differential equations, 0103 physical sciences, necessary conditions for optimality, abstract optimal control, 02 engineering and technology, Optimality conditions for problems in abstract spaces, 01 natural sciences, integral functional

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/1102967
https://doi.org/10.1515/jaa.1997.67
https://eudml.org/doc/47830

On the directional asymptotic approach in optimization theory

Autoren: Matúš Benko Patrick Mehlitz

Quelle: Math Program

Schlagwörter: constraint qualifications, 49J52, 49J53, 49K27, 90C22, 90C30, 90C33, Full Length Paper, pseudo- and super-coderivatives, Nonsmooth analysis, Optimality conditions for problems in abstract spaces, pseudo- and quasi-normality, Nonlinear programming, directional limiting variational calculus, M-stationarity, asymptotic stationarity and regularity, Semidefinite programming, Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming), Mathematics - Optimization and Control, Set-valued and variational analysis

Dateibeschreibung: application/xml

Zugangs-URL: http://arxiv.org/abs/2402.16530

Necessary Optimality Conditions for Abstract Control Problems with Certain Constraints: Necessary optimality conditions for abstract control problems with certain constraints

Autoren: W. H. Schmidt

Quelle: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik. 74:561-563

Schlagwörter: necessary optimality conditions, 0502 economics and business, 05 social sciences, Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems), Existence theories for problems in abstract spaces, Control/observation systems in abstract spaces, 0101 mathematics, Optimality conditions for problems in abstract spaces, constraints, abstract control process, 01 natural sciences

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/755097
https://doi.org/10.1002/zamm.19940741116
https://api.wiley.com/onlinelibrary/tdm/v1/articles/10.1002%2Fzamm.19940741116
http://onlinelibrary.wiley.com/doi/10.1002/zamm.19940741116/references

Second-Order Necessary and Sufficient Optimality Conditions for Optimization Problems and Applications to Control Theory: Second-order necessary and sufficient optimality conditions for optimization problems and applications to control theory

Autoren: Casas Rentería, Eduardo Tröltzsch, Fredi Universidad de Cantabria

Weitere Verfasser: Casas Rentería, Eduardo Tröltzsch, Fredi Universidad de Cantabria

Quelle: SIAM Journal on Optimization, 2002, 13(2), 406–431
UCrea Repositorio Abierto de la Universidad de Cantabria
Universidad de Cantabria (UC)

Schlagwörter: Programming in abstract spaces, Necessary and sufficient optimality conditions, State constraints, state constraints, 0211 other engineering and technologies, Control of differential equations, 02 engineering and technology, Optimality conditions for problems in abstract spaces, optimal control, Boundary value problems for second-order elliptic equations, partial differential equations, Optimality conditions for problems involving partial differential equations, second order optimality conditions

Dateibeschreibung: application/xml

Zugangs-URL: https://repositorio.unican.es/xmlui/bitstream/10902/1987/1/Second-order%20necessary%20and%20sufficient.pdf
http://hdl.handle.net/10902/1987
https://zbmath.org/1848704
https://doi.org/10.1137/s1052623400367698
https://hdl.handle.net/10902/1987

Necessary Conditions for Constrained Optimization Problems in Smooth Banach Spaces and Applications: Necessary conditions for constrained optimization problems in smooth Banach spaces and applications

Autoren: Qiji J. Zhu

Quelle: SIAM Journal on Optimization. 12:1032-1047

Schlagwörter: bornology, necessary condition, Nonsmooth analysis, 0211 other engineering and technologies, 02 engineering and technology, Optimality conditions for problems in abstract spaces, multiplier rule, 01 natural sciences, constrained optimization, equilibrium constraints, Nonlinear programming, subdifferential calculus, Optimality conditions and duality in mathematical programming, 0101 mathematics

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/1848676
https://doi.org/10.1137/s105262340138339

Optimal Control Problem for Bianchi Equation in Variable Exponent Sobolev Spaces: Optimal control problem for Bianchi equation in variable exponent Sobolev spaces

Autoren: Bandaliyev R.A. Guliyev V.S. Mamedov I.G. et al.

Quelle: Journal of Optimization Theory and Applications

Schlagwörter: Goursat problem, Variable exponent Sobolev spaces, Pontryagin's maximum principle, 3D optimal control, Optimality conditions for problems involving partial differential equations, variable exponent Sobolev spaces, 0101 mathematics, Optimality conditions for problems in abstract spaces, 01 natural sciences, Bianchi equation

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/7032520
https://doi.org/10.1007/s10957-018-1290-9
https://openrepository.ru/article?id=257472
https://ideas.repec.org/a/spr/joptap/v180y2019i1d10.1007_s10957-018-1290-9.html
https://dblp.uni-trier.de/db/journals/jota/jota180.html#BandaliyevGMR19
https://link.springer.com/article/10.1007/s10957-018-1290-9/fulltext.html
https://link.springer.com/article/10.1007/s10957-018-1290-9
https://rd.springer.com/article/10.1007/s10957-018-1290-9

A Fuzzy Necessary Optimality Condition for Non-Lipschitz Optimization in Asplund Spaces: A fuzzy necessary optimality condition for non-Lipschitz optimization in Asplund spaces

Autoren: Théra, Michel van Ngai, Huynh Vieceli, Yolande et al.

Weitere Verfasser: Théra, Michel van Ngai, Huynh Vieceli, Yolande et al.

Quelle: SIAM Journal on Optimization. 12:656-668

Schlagwörter: Nonlinear programming, normal cone, optimality condition, Asplund spaces, Nonsmooth analysis, Fréchet subdifferential, 0211 other engineering and technologies, constrained optimization problem, necessary optimality condition, 02 engineering and technology, fuzzy calculus, Optimality conditions for problems in abstract spaces

Dateibeschreibung: application/xml

Zugangs-URL: https://hal.science/hal-00068954v1

Optimality Conditions for Degenerate Extremum Problems with Equality Constraints: Optimality conditions for degenerate extremum problems with equality constraints

Autoren: Alexey A. Tret'yakov Olga A. Brezhneva

Quelle: SIAM Journal on Control and Optimization. 42:729-745

Schlagwörter: Lyusternik theorem, optimality conditions, nonregular problems, Nonlinear programming, Applications of functional analysis in optimization, convex analysis, mathematical programming, economics, Regularity of solutions in optimal control, 0211 other engineering and technologies, 02 engineering and technology, 0101 mathematics, Optimality conditions for problems in abstract spaces, 01 natural sciences, constrained optimization

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/2024282
https://doi.org/10.1137/s0363012901388488
https://dblp.uni-trier.de/db/journals/siamco/siamco42.html#BrezhnevaT03
https://epubs.siam.org/doi/abs/10.1137/S0363012901388488
https://doi.org/10.1137/S0363012901388488

Constraint Qualifications and Necessary Optimality Conditions for Optimization Problems with Variational Inequality Constraints: Constraint qualifications and necessary optimality conditions for optimization problems with variational inequality constraints

Autoren: Jane J. Ye

Quelle: SIAM Journal on Optimization. 10:943-962

Schlagwörter: necessary optimality conditions, optimization problems, constraint qualifications, nonsmooth analysis, bilevel programming, Nonsmooth analysis, coderivatives of set-valued maps, 0211 other engineering and technologies, 02 engineering and technology, Optimality conditions and duality in mathematical programming, variational inequality constraints, Optimality conditions for problems in abstract spaces, Variational inequalities

Dateibeschreibung: application/xml

First-Order Necessary Conditions of Optimality for Strongly Monotone Nonlinear Control Problems: First-order necessary conditions of optimality for strongly monotone nonlinear control problems

Autoren: M.D. Voisei

Quelle: Journal of Optimization Theory and Applications. 116:421-436

Schlagwörter: optimal control, Nonlinear programming, generalized gradient, Nonsmooth analysis, nonlinear programming, elliptic equations, 0211 other engineering and technologies, 02 engineering and technology, Nonlinear elliptic equations, 0101 mathematics, Optimality conditions for problems in abstract spaces, Optimality conditions for problems involving ordinary differential equations, 01 natural sciences

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/1997734
https://doi.org/10.1023/a:1022470323635
https://link.springer.com/content/pdf/10.1023/A:1022470323635.pdf

Necessary conditions of optimality for impulsive systems on Banach spaces

Autoren: N. U. Ahmed

Quelle: Nonlinear Analysis: Theory, Methods & Applications. 51:409-424

Schlagwörter: 0209 industrial biotechnology, Impulsive optimal control problems, 02 engineering and technology, Nonlinear differential equations in abstract spaces, 0101 mathematics, Optimality conditions for problems in abstract spaces, Ordinary differential equations with impulses, 01 natural sciences, Control problems involving ordinary differential equations

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/1809999
https://doi.org/10.1016/s0362-546x(01)00837-9
https://www.sciencedirect.com/science/article/pii/S0362546X01008379
https://dl.acm.org/doi/abs/10.1016/S0362-546X%2801%2900837-9

Second-Order Sufficient Optimality Conditions for a Class of Nonlinear Parabolic Boundary Control Problems: Second-order sufficient optimality conditions for a class of nonlinear parabolic boundary control problems

Autoren: Fredi Tröltzsch H. Goldberg

Quelle: SIAM Journal on Control and Optimization. 31:1007-1025

Schlagwörter: Programming in abstract spaces, heating processes, sufficient optimality condition, nonlinear parabolic boundary control, Sensitivity, stability, parametric optimization, 0211 other engineering and technologies, Optimality conditions for problems involving partial differential equations, second-order condition, semigroup technique, 02 engineering and technology, 0101 mathematics, Optimality conditions for problems in abstract spaces, 01 natural sciences

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/431296
https://doi.org/10.1137/0331045
https://epubs.siam.org/doi/abs/10.1137/0331045
https://core.ac.uk/display/24028887

Higher–Order Necessary Optimality Conditions for a Nonsmooth Extremum Problem: Higher-order necessary optimality conditions for a nonsmooth extremum problem

Autoren: CASTELLANI, MARCO

Quelle: Journal of Applied Analysis. 4:245-258

Schlagwörter: higher-order necessary optimality conditions, Nonlinear programming, Nonsmooth analysis, nonsmooth extremum problem, Optimality conditions for problems in abstract spaces, 16. Peace & justice, higher-order directional derivatives

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/1270125
https://doi.org/10.1515/jaa.1998.245
https://www.degruyter.com/view/j/jaa.1998.4.issue-2/jaa.1998.245/jaa.1998.245.xml
http://yadda.icm.edu.pl/yadda/element/bwmeta1.element.baztech-article-LOD6-0012-0014
http://www.ec.univaq.it/on-line/Home/Docentiedidattica/documento2934.html
https://www.ec.univaq.it/on-line/Home/Docentiedidattica/documento2934.html
https://hdl.handle.net/11697/22852

Optimality conditions in extremal problems with nonregular inequality constraints

Autoren: A. F. Izmailov

Quelle: Mathematical Notes. 66:72-81

Schlagwörter: Programming in abstract spaces, 2-regularity, nonregular constraint, 0209 industrial biotechnology, 0211 other engineering and technologies, 02 engineering and technology, Optimality conditions for problems in abstract spaces, dual cone, second-order optimality conditions, inequality constraint, Optimality conditions and duality in mathematical programming, extremal problem, topological linear space, tangent cone

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/1429651
https://doi.org/10.1007/bf02674072
https://link.springer.com/content/pdf/10.1007/BF02674072.pdf
https://link.springer.com/article/10.1007/BF02674072

Optimality conditions for state constrained nonlinear control problems

Autoren: M. Dobrowolski Tilo Staib

Quelle: ZOR Zeitschrift f�r Operations Research Methods and Models of Operations Research. 42:129-160

Schlagwörter: necessary optimality conditions, state constraints, 0211 other engineering and technologies, 02 engineering and technology, 0101 mathematics, Optimality conditions for problems in abstract spaces, nonlinear elliptic equations, 01 natural sciences

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/836783
https://doi.org/10.1007/bf01415750
https://dblp.uni-trier.de/db/journals/mmor/mmor42.html#DobrowolskiS95
https://link.springer.com/article/10.1007%2FBF01415750

Second Order Sufficient Optimality Conditions for a Nonlinear Elliptic Boundary Control Problem: Second order sufficient optimality conditions for a nonlinear elliptic boundary control problem

Autoren: Eduardo Casas Fredi Tröltzsch Andreas Unger

Quelle: Zeitschrift für Analysis und ihre Anwendungen. 15:687-707

Schlagwörter: 0211 other engineering and technologies, nonlinear elliptic boundary control, Optimality conditions for problems involving partial differential equations, 02 engineering and technology, 0101 mathematics, Elliptic equations and elliptic systems, Optimality conditions for problems in abstract spaces, 01 natural sciences, sufficient optimality conditions

Dateibeschreibung: application/xml

Zugangs-URL: http://www.ems-ph.org/journals/show_pdf.php?issn=0232-2064&vol=15&iss=3&rank=9
http://www.ems-ph.org/doi/10.4171/ZAA/723
https://www.ems-ph.org/journals/show_abstract.php?issn=0232-2064&vol=15&iss=3&rank=9
https://www.ems-ph.org/journals/show_pdf.php?issn=0232-2064&vol=15&iss=3&rank=9

Optimality Conditions for a Constrained Control Problem: Optimality conditions for a constrained control problem

Autoren: STEFANI, GIANNA ZEZZA, PIERLUIGI

Quelle: SIAM Journal on Control and Optimization. 34:635-659

Schlagwörter: 0209 industrial biotechnology, optimality conditions, Necessary and sufficient conditions, Optimal control, Second-order conditions, State-control constraints, optimal control problem, Nonlinear systems in control theory, 02 engineering and technology, 0101 mathematics, Optimality conditions for problems in abstract spaces, 16. Peace & justice, Optimality conditions for problems involving ordinary differential equations, 01 natural sciences, Model systems in control theory

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/874134
https://doi.org/10.1137/s0363012994260945
https://locus.siam.org/doi/abs/10.1137/S0363012994260945
https://epubs.siam.org/doi/10.1137/S0363012994260945
https://dl.acm.org/doi/abs/10.1137/S0363012994260945
https://dlnext.acm.org/doi/10.1137/S0363012994260945
https://hdl.handle.net/2158/340223
https://doi.org/10.1137/S0363012994260945

Optimality Conditions for Control Problems Governed by Variational Inequalities: Optimality conditions for control problems governed by variational inequalities

Autoren: James Louis Ndoutoume

Quelle: Mathematics of Operations Research. 19:676-690

Schlagwörter: set-valued map, optimality conditions, first-order necessary optimality conditions, Nonsmooth analysis, Optimality conditions for problems in abstract spaces, epi-convergence, Variational inequalities, 01 natural sciences, epi-convergence of second-order differential quotients, nonsmooth control, nonsmooth control problems, contingent derivative, 0101 mathematics, Optimal control problems with differential inclusions (nec./ suff.), variational inequalities

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/25336
https://zbmath.org/700878
https://doi.org/10.1287/moor.19.3.676
https://dblp.uni-trier.de/db/journals/mor/mor19.html#Ndoutoume94
https://ideas.repec.org/a/inm/ormoor/v19y1994i3p676-690.html
https://www.jstor.org/stable/3690335
https://pubsonline.informs.org/doi/10.1287/moor.19.3.676

On optimality conditions in optimization problems on solutions of operator equations

Autoren: I. G. Ismailov

Quelle: Computational Mathematics and Modeling. 10:44-54

Schlagwörter: operator equations defined in Banach spaces, Pontryagin maximum principle, necessary conditions for optimality of first and second order, 0101 mathematics, Optimality conditions for problems in abstract spaces, 01 natural sciences, Equations involving linear operators, with operator unknowns

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/1283694
https://doi.org/10.1007/bf02358921
https://link.springer.com/article/10.1007/BF02358921

Optimality conditions of higher order for abnormal minimization problems: Optimally conditions of higher order for abnormal minimization problems

Autoren: Aram V. Arutyunov

Quelle: Siberian Mathematical Journal. 33:557-565

Schlagwörter: Programming in abstract spaces, Banach spaces, high-order optimality conditions, equality type constraints, 0211 other engineering and technologies, 02 engineering and technology, 0101 mathematics, Optimality conditions for problems in abstract spaces, 01 natural sciences, Lagrangian, regularity conditions

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/130825
https://doi.org/10.1007/bf00971120
https://link.springer.com/article/10.1007/BF00971120