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The proximal bundle method (PBM) is a powerful and widely used approach for minimizing nonsmooth convex functions. However, for smooth objectives, its best-known convergence rate remains suboptimal, and whether PBM can be accelerated…

最优化与控制 · 数学 2026-04-28 Feng-Yi Liao , Thomas Madden , Yang Zheng

Nonconvex optimization refers to the process of solving problems whose objective or constraints are nonconvex. Historically, this type of problems have been very difficult to solve to global optimality, with traditional solvers often…

最优化与控制 · 数学 2025-08-12 Dimitris Bertsimas , Danique de Moor , Thodoris Koukouvinos , Demetrios Kriezis

Fast and safe manipulation of flexible objects with a robot manipulator necessitates measures to cope with vibrations. Existing approaches either increase the task execution time or require complex models and/or additional instrumentation…

机器人学 · 计算机科学 2023-07-11 Shamil Mamedov , Alejandro Astudillo , Daniele Ronzani , Wilm Decré , Jean-Philippe Noël , Jan Swevers

A data-driven computational heuristic is proposed to control MIMO systems without prior knowledge of their dynamics. The heuristic is illustrated on a two-input two-output balance system. It integrates a self-adjusting nonlinear threshold…

系统与控制 · 电气工程与系统科学 2021-04-02 Ning Wang , Mohammed Abouheaf , Wail Gueaieb

Highly coherent sensing matrices arise in discretization of continuum imaging problems such as radar and medical imaging when the grid spacing is below the Rayleigh threshold. Algorithms based on techniques of band exclusion (BE) and local…

信息论 · 计算机科学 2011-06-28 A. Fannjiang , W. Liao

We provide several algorithms for constrained optimization of a large class of convex problems, including softmax, $\ell_p$ regression, and logistic regression. Central to our approach is the notion of width reduction, a technique which has…

最优化与控制 · 数学 2021-07-07 Deeksha Adil , Brian Bullins , Sushant Sachdeva

Modern robotic manipulation systems fall short of human manipulation skills partly because they rely on closing feedback loops exclusively around vision data, which reduces system bandwidth and speed. By developing autonomous grasping…

机器人学 · 计算机科学 2023-03-08 Andrew SaLoutos , Hongmin Kim , Elijah Stanger-Jones , Menglong Guo , Sangbae Kim

This paper presents a novel framework for the continuation method of model predictive control based on optimal control problem with a nonsmooth regularizer. Via the proximal operator, the first-order optimality inclusion relation is…

最优化与控制 · 数学 2025-03-05 Ryotaro Shima , Ryuta Moriyasu , Teruki Kato

We consider the optimal control of linear systems over wireless MIMO fading channels, where the MIMO wireless fading and random access of the remote controller may cause intermittent controllability or uncontrollability of the closed-loop…

最优化与控制 · 数学 2023-01-26 Songfu Cai , Vincent Lau

Firstly, a new state feedback model reference adaptive control approach is developed for uncertain systems with gain scheduled reference models in a multi-input multi-output (MIMO) setting. Specifically, adaptive state feedback for output…

最优化与控制 · 数学 2014-03-18 Mehrdad Pakmehr , Tansel Yucelen

In this paper, we consider a class of structured nonsmooth fractional minimization, where the first part of the objective is the ratio of a nonnegative nonsmooth nonconvex function to a nonnegative nonsmooth convex function, while the…

最优化与控制 · 数学 2025-12-25 Junpeng Zhou , Na Zhang , Qia Li

This paper proposes a nonmonotone proximal quasi-Newton algorithm for unconstrained convex multiobjective composite optimization problems. To design the search direction, we minimize the max-scalarization of the variations of the Hessian…

最优化与控制 · 数学 2023-10-04 Xiaoxue Jiang

In the era of Noisy Intermediate-Scale Quantum computing as well as in error correcting circuits, physical qubits coherence time and high fidelity gates are essential to the functioning of quantum computers. In this paper, we demonstrate…

量子物理 · 物理学 2024-08-27 Max Cykiert , Eran Ginossar

This paper studies worst-case robust optimal tracking using noisy input-output data. We utilize behavioral system theory to represent system trajectories, while avoiding explicit system identification. We assume that the recent output data…

最优化与控制 · 数学 2021-06-28 Liang Xu , Mustafa Sahin Turan , Baiwei Guo , Giancarlo Ferrari-Trecate

High-dimensional nonlinear systems pose considerable challenges for modeling and control across many domains, from fluid mechanics to advanced robotics. Such systems are typically approximated with reduced-order models, which often rely on…

系统与控制 · 电气工程与系统科学 2025-09-05 Hugo Buurmeijer , Luis A. Pabon , John Irvin Alora , Roshan S. Kaundinya , George Haller , Marco Pavone

The purpose of this paper is to review and highlight some connections between the problem of nonlinear smoothing and optimal control of the Liouville equation. The latter has been an active area of recent research interest owing to work in…

最优化与控制 · 数学 2023-03-23 Jin W. Kim , Prashant G. Mehta

We present a novel quantum optimization-based route compression technique that significantly reduces storage requirements compared to conventional methods. Route optimization systems face critical challenges in efficiently storing selected…

量子物理 · 物理学 2025-04-07 Shunsuke Sotobayashi , Yuichiro Minato , Takao Tomono

In this paper, a class of nonlinear driftless control-affine systems satisfying the bracket generating condition is considered. A gradient-free optimization algorithm is developed for the minimization of a cost function along the…

最优化与控制 · 数学 2021-05-13 Victoria Grushkovskaya , Alexander Zuyev

This paper focuses on stochastic proximal gradient methods for optimizing a smooth non-convex loss function with a non-smooth non-convex regularizer and convex constraints. To the best of our knowledge we present the first non-asymptotic…

最优化与控制 · 数学 2019-05-27 Michael R. Metel , Akiko Takeda

In this paper, we propose a sampling-based planning and optimal control method of nonlinear systems under non-differentiable constraints. Motivated by developing scalable planning algorithms, we consider the optimal motion plan to be a…

系统与控制 · 计算机科学 2016-12-19 Jie Fu