4 papers
Optimal 3D Road Alignment on Topographic Surfaces: A Convergent Dynamic Programming Approach
Majid E. Abbasov, Anna A. Gorbunova
We consider the problem of finding an optimal 3D road trajectory between two points on a terrain with variable elevation. Unlike common heuristic pathfinding methods, we propose a…
A Unified Regularity Condition for Optimal Control: Bridging LICQ, MFCQ, and Subdifferentials
Majid Abbasov
This paper presents a unified derivation of transversality conditions in optimal control problems using exact penalty functions. The key regularity condition is that the origin is…
Converting exhausters and coexhausters
Majid E. Abbasov
Exhausters and coexhausters are notions of constructive nonsmooth analysis which are used to study extremal properties of functions. An upper exhauster (coexhauster) is used to get…
Regularization for the Approximation of 2D Set of Points via the Length of the Curve
Majid E. Abbasov, Anna I. Belenok
We study the problem of approximation of 2D set of points. Such type of problems always occur in physical experiments, econometrics, data analysis and other areas. The often proble…