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7 papers · 2 filters
Optimal control of a nonconvex perturbed sweeping process
Tan H. Cao, B. S. Mordukhovich
The paper concerns optimal control of discontinuous differential inclusions of the normal cone type governed by a generalized version of the Moreau sweeping process with control fu…
A Two-Stage Approach for Routing Multiple Unmanned Aerial Vehicles with Stochastic Fuel Consumption
Saravanan Venkatachalam, Kaarthik Sundar, Sivakumar Rathinam
The past decade has seen a substantial increase in the use of small unmanned aerial vehicles (UAVs) in both civil and military applications. This article addresses an important asp…
Visualization of the ε-Subdifferential of Piecewise Linear-Quadratic Functions
Anuj Bajaj, Warren Hare, Yves Lucet
Computing explicitly the ε-subdifferential of a proper function amounts to computing the level set of a convex function namely the conjugate minus a linear function. The resulting…
Full stability of general parametric variational systems
Boris S. Mordukhovich, Tran T. A. Nghia, Dat T. Pham
The paper introduces and studies the notions of Lipschitzian and Hölderian full stability of solutions to three-parametric variational systems described in the generalized equation…
Observational Data-Driven Modeling and Optimization of Manufacturing Processes
Najibesadat Sadati, Ratna Babu Chinnam, Milad Zafar Nezhad
The dramatic increase of observational data across industries provides unparalleled opportunities for data-driven decision making and management, including the manufacturing indust…
Reconstruction of the core convex topology and its applications in vector optimization and convex analysis
Ashkan Mohammadi, Majid Soleimani-damaneh
In this paper, the core convex topology on a real vector space , which is constructed just by operators, is investigated. This topology, denoted by , is the strongest t…