activity
20142025
most citedMonge-Kantorovich norms on spaces of vector measures

2 citations · 4 across the 7 of their papers we have counts for

collaborators

8 papers

cs.RO2025

Energy Consumption of Robotic Arm with the Local Reduction Method

Halima Ibrahim Kure, Jishna Retnakumari, Lucian Nita +3

Energy consumption in robotic arms is a significant concern in industrial automation due to rising operational costs and environmental impact. This study investigates the use of a…

eess.SY2024

Accurate Solutions to Optimal Control Problems via a Flexible Mesh and Integrated Residual Transcription

Lucian Nita, Eric C. Kerrigan

We propose joining a flexible mesh design with an integrated residual transcription in order to improve the accuracy of numerical solutions to optimal control problems. This approa…

math.OC2022

Solving optimal control problems with non-smooth solutions using an integrated residual method and flexible mesh

Lucian Nita, Eric C. Kerrigan, Eduardo M. G. Vila +1

Solutions to optimal control problems can be discontinuous, even if all the functionals defining the problem are smooth. This can cause difficulties when numerically computing solu…

math.OC2022★ 1 cited

Fast and accurate method for computing non-smooth solutions to constrained control problems

Lucian Nita, Eduardo M. G. Vila, Marta A. Zagorowska +4

Introducing flexibility in the time-discretisation mesh can improve convergence and computational time when solving differential equations numerically, particularly when the soluti…

math.OC2021

Towards a Framework for Nonlinear Predictive Control using Derivative-Free Optimization

Ian McInerney, Lucian Nita, Yuanbo Nie +2

The use of derivative-based solvers to compute solutions to optimal control problems with non-differentiable cost or dynamics often requires reformulations or relaxations that comp…

math.CA2017

Operators on Spaces of Functions and Measures. Vector Invariant (Fractal) Measures

Ion Chiţescu, Loredana Ioana, Radu Miculescu +1

We consider a general schema involving measure spaces, contractions and linear and continuous operators. Within the framework of this schema we use our sesquilinear uniform integra…

math.CA2017★ 1 cited

Self-similar vector measures of Markov-type operators

Ion Chiţescu, Loredana Ioana, Radu Miculescu +1

We consider iterated function systems (finite or countable), together with linear and continuous operators on Hilbert spaces, which enable us to construct Markov-type operators. Un…

math.FA2014★ 2 cited

Monge-Kantorovich norms on spaces of vector measures

Ion Chitescu, Radu Miculescu, Lucian Nita +1

One considers Hilbert space valued measures on the Borel sets of a compact metric space. A natural numerical valued integral of vector valued continuous functions with respect to v…