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Flow matching has emerged as a powerful framework for generative modeling, offering computational advantages over diffusion models by leveraging deterministic Ordinary Differential Equations (ODEs) instead of stochastic dynamics. While…

Machine Learning · Computer Science 2025-03-13 Chengyue Gong , Xiaoyu Li , Yingyu Liang , Jiangxuan Long , Zhenmei Shi , Zhao Song , Yu Tian

We introduce a new approach to the maximum flow problem in undirected, capacitated graphs using $\alpha$-\emph{congestion-approximators}: easy-to-compute functions that approximate the congestion required to route single-commodity demands…

Data Structures and Algorithms · Computer Science 2013-04-09 Jonah Sherman

We propose a distributed optimization method for solving a distributed model predictive consensus problem. The goal is to design a distributed controller for a network of dynamical systems to optimize a coupled objective function while…

Optimization and Control · Mathematics 2012-12-07 Tyler H. Summers , John Lygeros

This paper investigates the control of flow networks, where the control objective is to regulate the measured output (e.g storage levels) towards a desired value. We present a distributed controller that dynamically adjusts the inputs and…

Systems and Control · Computer Science 2017-08-03 Sebastian Trip , Tjardo Scholten , Claudio De Persis

This paper investigates the $H_{2}/H_{\infty}$ control problem for linear stochastic differential systems under partial observation. Unlike existing studies that assume full state accessibility, we consider the scenario where the controller…

Optimization and Control · Mathematics 2026-04-24 Changwang Xiao , Nan Yang , Qingxin Meng

This paper focuses on a drag-reducing control strategy on a 2D-simulated laminar flow past a cylinder. Deep reinforcement learning algorithms have been implemented to discover efficient control schemes, using two synthetic jets located on…

Fluid Dynamics · Physics 2020-06-23 Romain Paris , Samir Beneddine , Julien Dandois

We consider the bilinear optimal control of an advection-reaction-diffusion system, where the control arises as the velocity field in the advection term. Such a problem is generally challenging from both theoretical analysis and algorithmic…

Optimization and Control · Mathematics 2021-01-08 Roland Glowinski , Yongcun Song , Xiaoming Yuan , Hangrui Yue

Achieving fast, excitation-free quantum control is a vital challenge in modern quantum technologies. In many cases, shortcuts to adiabaticity enable fast adiabatic-like protocols, yet determining control parameters that satisfy practical…

Quantum Physics · Physics 2026-04-03 Bo Xing , Jesús G. Parejo , Sofía Martínez-Garaot , Paola Cappellaro , Mikel Palmero

This paper considers the problem of regulating a dynamical system to equilibria that are defined as solutions of an input- and state-constrained optimization problem. To solve this regulation task, we design a state feedback controller…

Systems and Control · Electrical Eng. & Systems 2023-12-14 Yiting Chen , Liliaokeawawa Cothren , Jorge Cortes , Emiliano Dall'Anese

A suboptimal active disturbance rejection controller (S-ADRC) is proposed for second-order systems with unknown time-varying nonlinear dynamics. The output-feedback controller guarantees a global convergence to the vicinity of an optimal…

Optimization and Control · Mathematics 2022-06-22 Amir Shakouri , M. Reza Emami

This paper fills a gap in the literature by considering a joint sensor and actuator configuration problem under the linear quadratic Gaussian (LQG) performance without assuming a predefined set of candidate components. Different from the…

Systems and Control · Electrical Eng. & Systems 2025-04-29 Nachuan Yang , Yuzhe Li , Ling Shi , Tongwen Chen

Numerically computing global policies to optimal control problems for complex dynamical systems is mostly intractable. In consequence, a number of approximation methods have been developed. However, none of the current methods can quantify…

Robotics · Computer Science 2021-03-05 Ashwin Khadke , Hartmut Geyer

While multi-joint continuum robots are highly dexterous and flexible, designing an optimal robot can be challenging due to its kinematics involving curvatures. Hence, the current work presents a computational method developed to find…

Robotics · Computer Science 2025-03-17 Hyunmin Cheong , Mehran Ebrahimi , Timothy Duggan

Multi-agent distributed consensus optimization problems arise in many signal processing applications. Recently, the alternating direction method of multipliers (ADMM) has been used for solving this family of problems. ADMM based distributed…

Systems and Control · Computer Science 2015-06-18 Tsung-Hui Chang , Mingyi Hong , Xiangfeng Wang

Solving the power flow problem in a distributed fashion empowers different grid operators to compute the overall grid state without having to share grid models-this is a practical problem to which industry does not have off-the-shelf…

Optimization and Control · Mathematics 2020-11-23 Tillmann Mühlpfordt , Xinliang Dai , Alexander Engelmann , Veit Hagenmeyer

In this paper, we explore the interplay between Predictive Control and closed-loop optimality, spanning from Model Predictive Control to Data-Driven Predictive Control. Predictive Control in general relies on some form of prediction scheme…

Optimization and Control · Mathematics 2024-05-29 Akhil S Anand , Shambhuraj Sawant , Dirk Reinhardt , Sebastien Gros

We present high order explicit geometric integrators to solve linear-quadratic optimal control problems and $N$-player differential games. These problems are described by a system coupled non-linear differential equations with boundary…

Numerical Analysis · Mathematics 2013-11-06 Sergio Blanes

Deep Reinforcement Learning (DRL) has recently been proposed as a methodology to discover complex Active Flow Control (AFC) strategies [Rabault, J., Kuchta, M., Jensen, A., Reglade, U., & Cerardi, N. (2019): "Artificial neural networks…

Computational Physics · Physics 2019-10-23 Jean Rabault , Alexander Kuhnle

We propose a neural network approach to model general interaction dynamics and an adjoint based stochastic gradient descent algorithm to calibrate its parameters. The parameter calibration problem is considered as optimal control problem…

Optimization and Control · Mathematics 2021-02-01 Simone Göttlich , Claudia Totzeck

This paper concerns the numerical procedure for solving hybrid optimal control problems with sliding modes. A sliding mode is coped with differential-algebraic equations (DAEs) and that guarantees accurate tracking of the sliding motion…

Optimization and Control · Mathematics 2021-01-21 Radoslaw Pytlak , Damian Suski