Characterization of efficient solutions for a class of PDE-constrained vector control problems

DOI10.3934/naco.2019035zbMath1441.49024OpenAlexW2944843162WikidataQ127800005 ScholiaQ127800005MaRDI QIDQ2178959

Savin Treanta

Publication date: 12 May 2020

Published in: Numerical Algebra, Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/naco.2019035

zbMATH Keywords

flowKuhn-Tucker optimality conditionsmultidimensional vector control problemmultiple integral cost functionalV-KT-pseudoinvexity

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Nonlinear programming (90C30) Optimality conditions for problems involving partial differential equations (49K20) Numerical optimization and variational techniques (65K10) Convexity of real functions of several variables, generalizations (26B25) Holomorphic maps in nonlinear functional analysis (46T25)

Related Items (2)

Solving invex multitime control problems with first‐order PDE constraints via the absolute value exact penalty method ⋮ On a modified optimal control problem with first-order PDE constraints and the associated saddle-point optimality criterion

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Multi-time wave functions for quantum field theory
• Multitime dynamic programming for multiple integral actions
• Efficiency conditions in vector control problems governed by multiple integrals
• The essence of invexity
• Commuting Hamiltonians and Hamilton-Jacobi multi-time equations
• Duality and sufficiency in control problems with invexity
• On generalized KT-pseudoinvex control problems involving multiple integral functionals
• Higher-order Hamilton dynamics and Hamilton-Jacobi divergence PDE
• Multiobjective fractional variational problem on higher-order jet bundles
• KT-invex control problem
• Avoiding Ultraviolet Divergence by Means of Interior–Boundary Conditions
• Particle creation and annihilation at interior boundaries: one-dimensional models
• Consistency of multi-time Dirac equations with general interaction potentials
• Nonsmooth multi-time Hamilton-Jacobi systems
• A simple explicitly solvable interacting relativistic N-particle model
• Contours of Brownian processes with several-dimensional times
• On a New Class of Vector Variational Control Problems
• KT‐pseudoinvex multidimensional control problem
• Duality for Control Problems
• On a Relativistically Invariant Formulation of the Quantum Theory of Wave Fields*

This page was built for publication: Characterization of efficient solutions for a class of PDE-constrained vector control problems