On a New Class of Vector Variational Control Problems

DOI10.1080/01630563.2018.1488142zbMath1417.35216OpenAlexW2891048541WikidataQ129272058 ScholiaQ129272058MaRDI QIDQ4632343

Savin Treanta

Publication date: 29 April 2019

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2018.1488142

zbMATH Keywords

optimal controlgeodesic (strongly) b-V-KT-pseudoinvexityKuhn-Tucker efficiency conditions

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Nonlinear programming (90C30) Numerical optimization and variational techniques (65K10) Existence theories for optimal control problems involving partial differential equations (49J20) Boundary value problems on manifolds (58J32) Convexity of real functions of several variables, generalizations (26B25) PDEs in connection with control and optimization (35Q93)

Related Items (7)

On a global efficiency criterion in multiobjective variational control problems with path-independent curvilinear integral cost functionals ⋮ Lagrange-Hamilton approach in optimization problems with isoperimetric-type constraints ⋮ Characterization of efficient solutions for a class of PDE-constrained vector control problems ⋮ On a minimal criterion of efficiency in vector variational control problems ⋮ Some results on (ρ, b, d)-variational inequalities ⋮ 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

Cites Work

• Unnamed Item
• Riemannian convexity of functionals
• Efficiency conditions in vector control problems governed by multiple integrals
• The essence of invexity
• Invex sets and preinvex functions on Riemannian manifolds
• A class of nondifferentiable control problems
• Duality and sufficiency in control problems with invexity
• On sufficiency of the Kuhn-Tucker conditions
• Higher-order Hamilton dynamics and Hamilton-Jacobi divergence PDE
• KT‐pseudoinvex multidimensional control problem

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