Suchergebnisse - infinite-dimensional nonlinear programming problems

  1. 1

    Bernstein Polynomial-Based Method for Solving Optimal Trajectory Generation Problems von Kielas-Jensen, Calvin, Cichella, Venanzio, Berry, Thomas, Kaminer, Isaac, Walton, Claire, Pascoal, Antonio

    ISSN: 1424-8220, 1424-8220
    Veröffentlicht: Switzerland MDPI AG 27.02.2022
    Veröffentlicht in Sensors (Basel, Switzerland) (27.02.2022)
    “… The proposed method is based on the use of Bernstein polynomial approximations to transcribe infinite dimensional optimization problems into nonlinear programming problems …”
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  2. 2

    Stabilized SQP Methods in Hilbert Spaces von Uihlein, Andrian, Wollner, Winnifried

    ISSN: 0163-0563, 1532-2467
    Veröffentlicht: Abingdon Taylor & Francis 03.07.2024
    Veröffentlicht in Numerical functional analysis and optimization (03.07.2024)
    “… Based on techniques by (S.J. Wright 1998) for finite-dimensional optimization, we investigate a stabilized sequential quadratic programming method for nonlinear optimization problems in infinite-dimensional Hilbert spaces …”
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  3. 3

    An iterative multi-objective particle swarm optimization-based control vector parameterization for state constrained chemical and biochemical engineering problems von Zhang, Panpan, Chen, Hongmei, Liu, Xinggao, Zhang, Zeyin

    ISSN: 1369-703X, 1873-295X
    Veröffentlicht: Elsevier B.V 15.11.2015
    Veröffentlicht in Biochemical engineering journal (15.11.2015)
    “… •Results of benchmark problems reveal the effectiveness of the IMOPSO approach.•Results of three classical cases demonstrate the efficiency of CVP–IMOPSO approach …”
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  4. 4

    Analysis and Design of Unconstrained Nonlinear MPC Schemes for Finite and Infinite Dimensional Systems von Gruene, Lars

    ISSN: 0363-0129, 1095-7138
    Veröffentlicht: Philadelphia Society for Industrial and Applied Mathematics 01.01.2009
    Veröffentlicht in SIAM journal on control and optimization (01.01.2009)
    “… Based on the insight obtained from the numerical solution of this problem, we derive design guidelines for nonlinear MPC schemes which guarantee stability of the closed loop for small optimization horizons …”
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  5. 5

    Second Order Sufficient Conditions for Optimal Control Problems with Non-unique Minimizers: An Abstract Framework von Gavriel, C., Vinter, R. B.

    ISSN: 0095-4616, 1432-0606
    Veröffentlicht: Boston Springer US 01.12.2014
    Veröffentlicht in Applied mathematics & optimization (01.12.2014)
    “… It follows that such conditions will never cover problems in which the extremum is continuously embedded in a family of constant cost extrema …”
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  6. 6

    Set-Valued Systems with Infinite-Dimensional Image and Applications von Li, J., Yang, L.

    ISSN: 0022-3239, 1573-2878
    Veröffentlicht: New York Springer US 01.12.2018
    Veröffentlicht in Journal of optimization theory and applications (01.12.2018)
    “… In infinite-dimensional spaces, we investigate a set-valued system from the image perspective …”
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  7. 7

    Optimal control of infinite dimensional bilinear systems: application to the heat and wave equations von Aronna, M. Soledad, Bonnans, J. Frédéric, Kröner, Axel

    ISSN: 0025-5610, 1436-4646
    Veröffentlicht: Berlin/Heidelberg Springer Berlin Heidelberg 01.03.2018
    Veröffentlicht in Mathematical programming (01.03.2018)
    “… In this paper we consider second order optimality conditions for a bilinear optimal control problem governed by a strongly continuous semigroup operator, the control entering linearly in the cost function …”
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  8. 8

    Modeling Stochastic Dominance as Infinite-Dimensional Constraint Systems via the Strassen Theorem von Haskell, William B., Toriello, Alejandro

    ISSN: 0022-3239, 1573-2878
    Veröffentlicht: New York Springer US 01.09.2018
    Veröffentlicht in Journal of optimization theory and applications (01.09.2018)
    “… First, we show that a dominance-constrained problem on general probability spaces can be expressed as an infinite-dimensional optimization problem with a convenient representation of the dominance …”
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  9. 9

    Safe landing area determination for a Moon lander by reachability analysis von Arslantaş, Yunus Emre, Oehlschlägel, Thimo, Sagliano, Marco

    ISSN: 0094-5765, 1879-2030
    Veröffentlicht: Elmsford Elsevier Ltd 01.11.2016
    Veröffentlicht in Acta astronautica (01.11.2016)
    “… In the last decades developments in space technology paved the way to more challenging missions like asteroid mining, space tourism and human expansion into …”
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  10. 10

    Uniqueness Results of Semilinear Parabolic Equations in Infinite-Dimensional Hilbert Spaces von Bianca, Carlo, Dogbe, Christian

    ISSN: 2227-7390, 2227-7390
    Veröffentlicht: Basel MDPI AG 01.03.2025
    Veröffentlicht in Mathematics (Basel) (01.03.2025)
    “… –Jacobi-type equations in infinite-dimensional Hilbert spaces. Specifically, the uniqueness of the viscosity solution is established by employing the inf/sup-convolution approach in a separable infinite-dimensional Hilbert space …”
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  11. 11

    Swarm-Intelligence Optimization Method for Dynamic Optimization Problem von Liu, Rui, Mo, Yuanbin, Lu, Yanyue, Lyu, Yucheng, Zhang, Yuedong, Guo, Haidong

    ISSN: 2227-7390, 2227-7390
    Veröffentlicht: Basel MDPI AG 01.06.2022
    Veröffentlicht in Mathematics (Basel) (01.06.2022)
    “… -dimensional nonlinear programming problem through control variable parameterization. In order to improve the efficiency and accuracy of dynamic optimization, an improved …”
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  12. 12

    Convex Computation of the Maximum Controlled Invariant Set For Polynomial Control Systems von Korda, Milan, Henrion, Didier, Jones, Colin N.

    ISSN: 0363-0129, 1095-7138
    Veröffentlicht: Society for Industrial and Applied Mathematics 01.01.2014
    Veröffentlicht in SIAM journal on control and optimization (01.01.2014)
    “… We characterize the maximum controlled invariant (MCI) set for discrete- as well as continuous-time nonlinear dynamical systems as the solution of an infinite-dimensional linear programming problem …”
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  13. 13

    Converging outer approximations to global attractors using semidefinite programming von Schlosser, Corbinian, Korda, Milan

    ISSN: 0005-1098, 1873-2836
    Veröffentlicht: Elsevier Ltd 01.12.2021
    Veröffentlicht in Automatica (Oxford) (01.12.2021)
    “… The approach taken follows an established line of reasoning, where we first characterize the global attractor via an infinite dimensional linear programming problem (LP …”
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  14. 14

    Quasi-Newton methods in infinite-dimensional spaces and application to matrix equations von Benahmed, Boubakeur, Mokhtar-Kharroubi, Hocine, de Malafosse, Bruno, Yassine, Adnan

    ISSN: 0925-5001, 1573-2916
    Veröffentlicht: Boston Springer US 01.03.2011
    Veröffentlicht in Journal of global optimization (01.03.2011)
    “… In the first part of this paper, we give a survey on convergence rates analysis of quasi-Newton methods in infinite Hilbert spaces for nonlinear equations …”
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  15. 15

    Second-order variational analysis and characterizations of tilt-stable optimal solutions in infinite-dimensional spaces von Mordukhovich, B.S., Nghia, T.T.A.

    ISSN: 0362-546X, 1873-5215
    Veröffentlicht: Elsevier Ltd 01.07.2013
    Veröffentlicht in Nonlinear analysis (01.07.2013)
    “… The paper is devoted to developing second-order tools of variational analysis and their applications to characterizing tilt-stable local minimizers of constrained optimization problems infinite …”
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  16. 16

    A weaker regularity condition for subdifferential calculus and Fenchel duality in infinite dimensional spaces von Boţ, Radu Ioan, Wanka, Gert

    ISSN: 0362-546X, 1873-5215
    Veröffentlicht: Oxford Elsevier Ltd 15.06.2006
    Veröffentlicht in Nonlinear analysis (15.06.2006)
    “… Moreover, it provides a weak sufficient condition for Fenchel duality regarding convex optimization problems in infinite dimensional spaces …”
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  17. 17

    Constraint qualifications and optimality conditions for nonconvex semi-infinite and infinite programs von Mordukhovich, B., Nghia, T. T. A.

    ISSN: 0025-5610, 1436-4646
    Veröffentlicht: Berlin/Heidelberg Springer-Verlag 01.06.2013
    Veröffentlicht in Mathematical programming (01.06.2013)
    “… The paper concerns the study of new classes of nonlinear and nonconvex optimization problems of the so-called infinite programming that are generally defined on infinite-dimensional spaces of decision …”
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  18. 18

    Continuous-Time Generalized Fractional Programming Problems, Part II: An Interval-Type Computational Procedure von Wen, Ching-Feng

    ISSN: 0022-3239, 1573-2878
    Veröffentlicht: Boston Springer US 01.03.2013
    Veröffentlicht in Journal of optimization theory and applications (01.03.2013)
    “… The theory presented in Part I (Wen in J. Optim. Theory Appl. 2012) of this study led to a theoretical parametric procedure for continuous-time generalized fractional programming problems. In this paper (Part II …”
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  19. 19

    Continuous-Time Generalized Fractional Programming Problems. Part I: Basic Theory von Wen, Ching-Feng

    ISSN: 0022-3239, 1573-2878
    Veröffentlicht: Boston Springer US 01.05.2013
    Veröffentlicht in Journal of optimization theory and applications (01.05.2013)
    “… This study, that will be presented as two parts, develops a computational approach to a class of continuous-time generalized fractional programming problems …”
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  20. 20

    Representation of stochastic optimal control problems with delay in the control variable von Girolami, Cristina Di, Rosestolato, Mauro

    ISSN: 1593-8883, 1129-6569
    Veröffentlicht: Milano Springer Nature B.V 01.06.2025
    Veröffentlicht in Decisions in economics and finance (01.06.2025)
    “… In this manuscript we provide a representation in infinite dimension for stochastic optimal control problems with delay in the control variable …”
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