LU-Optimality Conditions in Optimization Problems With Mechanical Work Objective Functionals
Savin Treanţă
Abstract
In this article, we introduce interval-valued Kuhn-Tucker (KT)-pseudoinvex optimization problems governed by interval-valued path-independent curvilinear integral objective functionals. Concretely, it is proven that an interval-valued KT-pseudoinvex variational control problem is described such that every KT point is an LU-optimal solution. In addition, the main results are highlighted by two illustrative applications describing the controlled behavior of an artificial neural system.
Topics & Concepts
Curvilinear coordinatesInterval (graph theory)Work (physics)MathematicsMathematical optimizationPoint (geometry)Optimal controlApplied mathematicsOptimization problemPath (computing)Computer scienceCombinatoricsPhysicsGeometryThermodynamicsProgramming languageOptimization and Variational AnalysisControl Systems and IdentificationTopology Optimization in Engineering