output
20122025
most citedApproximate Optimal Trajectory Tracking for Continuous Time Nonlinear Systems

232 citations

12 papers

cs.RO2025★ 18 cited

Multi-goal Rapidly Exploring Random Tree with Safety and Dynamic Constraints for UAV Cooperative Path Planning

Thu Hang Khuat, Duy-Nam Bui, Hoa TT. Nguyen +3

Cooperative path planning is gaining its importance due to the increasing demand on using multiple unmanned aerial vehicles (UAVs) for complex missions. This work addresses the pro…

cs.RO2024★ 11 cited

Physics-Guided Reinforcement Learning System for Realistic Vehicle Active Suspension Control

Anh N. Nhu, Ngoc-Anh Le, Shihang Li +1

The suspension system is a crucial part of the automotive chassis, improving vehicle ride comfort and isolating passengers from rough road excitation. Unlike passive suspension, wh…

math.OC2021★ 3 cited

Convergence analysis of the stochastic reflected forward-backward splitting algorithm

Nguyen Van Dung, Bang Cong Vu

We propose and analyze the convergence of a novel stochastic algorithm for solving monotone inclusions that are the sum of a maximal monotone operator and a monotone, Lipschitzian…

math.FA2018★ 18 cited

Some estimates for p-adic rough multilinear Hausdorff operators and commutators on weighted Morrey-Herz type spaces

Nguyen Minh Chuong, Dao Van Duong, Kieu Huu Dung

The aim of this paper is to introduce and study the boundedness of a new class of p-adic rough multilinear Hausdorff operators on the product of Herz, central Morrey and Morrey-Her…

math.FA2018

Maximal operators and singular integrals on the weighted Lorentz and Morrey spaces

Nguyen Minh Chuong, Dao Van Duong, Kieu Huu Dung

In this paper, we first give some new characterizations of Muckenhoupt type weights through establishing the boundedness of maximal operators on the weighted Lorentz and Morrey spa…

math.OC2018★ 9 cited

Golden ratio algorithms for solving equilibrium problems in Hilbert spaces

Nguyen The Vinh

In this paper, we design a new iterative algorithm for solving pseudomonotone equilibrium problems in real Hilbert spaces. The advantage of our algorithm is that it requires only o…

math.NA2017★ 5 cited

Monte Carlo Methods for Uniform Approximation on Periodic Sobolev Spaces with Mixed Smoothness

Glenn Byrenheid, Robert J. Kunsch, Van Kien Nguyen

We consider the order of convergence for linear and nonlinear Monte Carlo approximation of compact embeddings from Sobolev spaces of dominating mixed smoothness defined on the toru…

math.FA2016

Isotropic and Dominating Mixed Besov Spaces - a Comparison

Van Kien Nguyen, Winfried Sickel

We compare Besov spaces with isotropic smoothness with Besov spaces of dominating mixed smoothness. Necessary and sufficient conditions for continuous embeddings will be given.

math.NA2015★ 33 cited

Change of variable in spaces of mixed smoothness and numerical integration of multivariate functions on the unit cube

Van Kien Nguyen, Mario Ullrich, Tino Ullrich

In a recent article by two of the present authors it turned out that Frolov's cubature formulae are optimal and universal for various settings (Besov-Triebel-Lizorkin spaces) of fu…

math.FA2014★ 3 cited

Weyl Numbers of Embeddings of Tensor Product Besov Spaces

Van Kien Nguyen, Winfried Sickel

In this paper we investigate the asymptotic behaviour of Weyl numbers of embeddings of tensor product Besov spaces into Lebesgue spaces. These results will be compared with the kno…

eess.SY2013★ 232 cited

Approximate Optimal Trajectory Tracking for Continuous Time Nonlinear Systems

Rushikesh Kamalapurkar, Huyen Dinh, Shubhendu Bhasin +1

Approximate dynamic programming has been investigated and used as a method to approximately solve optimal regulation problems. However, the extension of this technique to optimal t…

cs.DS2012★ 1 cited

Additive Update Algorithm for Nonnegative Matrix Factorization

Tran Dang Hien, Do Van Tuan, Pham Van At

Nonnegative matrix factorization (NMF) is an emerging technique with a wide spectrum of potential applications in data analysis. Mathematically, NMF can be formulated as a minimiza…