Search Results - infinite-dimensional nonlinear programming problems

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

“… 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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Stabilized SQP Methods in Hilbert Spaces by Uihlein, Andrian, Wollner, Winnifried

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

“…•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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Analysis and Design of Unconstrained Nonlinear MPC Schemes for Finite and Infinite Dimensional Systems by Gruene, Lars

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

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

“…In infinite-dimensional spaces, we investigate a set-valued system from the image perspective…”
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Optimal control of infinite dimensional bilinear systems: application to the heat and wave equations by Aronna, M. Soledad, Bonnans, J. Frédéric, Kröner, Axel

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

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

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

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

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

“…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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Converging outer approximations to global attractors using semidefinite programming by Schlosser, Corbinian, Korda, Milan

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

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

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

“… Moreover, it provides a weak sufficient condition for Fenchel duality regarding convex optimization problems in infinite dimensional spaces…”
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Constraint qualifications and optimality conditions for nonconvex semi-infinite and infinite programs by Mordukhovich, B., Nghia, T. T. A.

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

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

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

“…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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