Solving invex multitime control problems with first‐order PDE constraints via the absolute value exact penalty method

DOI10.1002/oca.3043OpenAlexW4385791877MaRDI QIDQ6180300

Tadeusz Antczak, Savin Treanta

Publication date: 19 January 2024

Published in: Optimal Control Applications and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/oca.3043

zbMATH Keywords

invexityoptimal solutionexactness of the penalizationabsolute value exact penalty function methodmultitime control problem with first-order PDE constraints

Mathematics Subject Classification ID

Nonconvex programming, global optimization (90C26) Control/observation systems governed by partial differential equations (93C20)

Cites Work

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• An exact penalty function method for continuous inequality constrained optimal control problem
• Efficiency conditions in vector control problems governed by multiple integrals
• Exact penalty functions method for mathematical programming problems involving invex functions
• A new approach to multiobjective programming with a modified objective function
• On generalized KT-pseudoinvex control problems involving multiple integral functionals
• Exactness property of the exact absolute value penalty function method for solving convex nondifferentiable interval-valued optimization problems
• A simple exact penalty function method for optimal control problem with continuous inequality constraints
• An exact penalty method for free terminal time optimal control problem with continuous inequality constraints
• Characterization of efficient solutions for a class of PDE-constrained vector control problems
• Proper efficiency and duality for a new class of nonconvex multitime multiobjective variational problems
• A necessary and sufficient condition on the equivalence between local and global optimal solutions in variational control problems
• On a modified optimal control problem with first-order PDE constraints and the associated saddle-point optimality criterion
• An exact \(l_1\) penalty function method for multi-dimensional first-order PDE constrained control optimization problem
• What is invexity?
• KT‐pseudoinvex multidimensional control problem
• Exact penalty function approach to constrained optimal control problems
• Exact Penalty Functions in Constrained Optimization
• The Exact l 1 Penalty Function Method for Constrained Nonsmooth Invex Optimization Problems
• Saddle point criteria for multi-dimensional control optimisation problem involving first-order PDE constraints
• Sufficiency of Exact Penalty Minimization

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