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Control of complex systems involves both system identification and controller design. Deep neural networks have proven to be successful in many identification tasks, however, from model-based control perspective, these networks are…

最优化与控制 · 数学 2019-02-28 Yize Chen , Yuanyuan Shi , Baosen Zhang

Substitution of well-grounded theoretical models by data-driven predictions is not as simple in engineering and sciences as it is in social and economic fields. Scientific problems suffer most times from paucity of data, while they may…

机器学习 · 计算机科学 2020-11-18 Jacobo Ayensa-Jiménez , Mohamed H. Doweidar , Jose Antonio Sanz-Herrera , Manuel Doblaré

This paper presents a new and straightforward procedure for solving bilinear quadratic optimal control problem. In this method, first the original optimal control problem is transformed into a nonlinear twopoint boundary value problem…

最优化与控制 · 数学 2012-02-09 Hamidreza Ramezanpour , Saeed Setayeshi , Hossein Arabalibeik , Amin Jajarmi

In the paper, we propose solving optimization problems (OPs) and understanding the Newton method from the optimal control view. We propose a new optimization algorithm based on the optimal control problem (OCP). The algorithm features…

最优化与控制 · 数学 2025-04-01 Huanshui Zhang , Hongxia Wang

Explicit machine learning-based model predictive control (explicit ML-MPC) has been developed to reduce the real-time computational demands of traditional ML-MPC. However, the evaluation of candidate control actions in explicit ML-MPC can…

最优化与控制 · 数学 2024-08-14 Wenlong Wang , Haohao Zhang , Yujia Wang , Yuhe Tian , Zhe Wu

In most optimization problems, users have a clear understanding of the function to optimize (e.g., minimize the makespan for scheduling problems). However, the constraints may be difficult to state and their modelling often requires…

人工智能 · 计算机科学 2021-11-24 Mohamed-Bachir Belaid , Arnaud Gotlieb , Nadjib Lazaar

Feed-forward, fully-connected Artificial Neural Networks (ANNs) or the so-called Multi-Layer Perceptrons (MLPs) are well-known universal approximators. However, their learning performance varies significantly depending on the function or…

计算机视觉与模式识别 · 计算机科学 2019-10-21 Serkan Kiranyaz , Turker Ince , Alexandros Iosifidis , Moncef Gabbouj

Although there are many neural network (NN) algorithms for prediction and for control, and although methods for optimal estimation (including filtering and prediction) and for optimal control in linear systems were provided by Kalman in…

神经与进化计算 · 计算机科学 2008-05-29 Ralph Linsker

In this study, we focus on the numerical solution method for the optimal control problem with equilibrium constraints (OCPEC).It is extremely challenging to solve OCPEC owing to the absence of constraint regularity and strictly feasible…

最优化与控制 · 数学 2024-05-28 Kangyu Lin , Toshiyuki Ohtsuka

In this paper, we present a distributed model predictive control (DMPC) scheme for dynamically decoupled systems which are subject to state constraints, coupling state constraints and input constraints. In the proposed control scheme,…

系统与控制 · 电气工程与系统科学 2024-08-17 Adrian Wiltz , Fei Chen , Dimos V. Dimarogonas

Two dimensional (2D) peak finding is a common practice in data analysis for physics experiments, which is typically achieved by computing the local derivatives. However, this method is inherently unstable when the local landscape is…

数据分析、统计与概率 · 物理学 2020-04-22 Han Peng , Xiang Gao , Yu He , Yiwei Li , Yuchen Ji , Chuhang Liu , Sandy A. Ekahana , Ding Pei , Zhongkai Liu , Zhixun Shen , Yulin Chen

We propose a consistent physics-informed neural networks (CPINNs) framework for elliptic obstacle problems formulated as variational inequalities. The method is based on a mixed loss functional that is rigorously aligned with the stability…

数值分析 · 数学 2026-04-03 Arbaz Khan , Kent-Andre Mardal , Shiv Mishra

We study the problem of online non-stochastic control (ONC), which is the control of a linear system under adversarial disturbances and adversarial cost functions, with the aim of minimizing the total cost incurred. A recent line of…

最优化与控制 · 数学 2026-04-21 Vijeth Hebbar , Spencer Hutchinson , Mahnoosh Alizadeh , Cédric Langbort

Large machine learning models based on Convolutional Neural Networks (CNNs) with rapidly increasing number of parameters, trained with massive amounts of data, are being deployed in a wide array of computer vision tasks from self-driving…

计算机视觉与模式识别 · 计算机科学 2021-10-14 Rishab Parthasarathy , Rohan Bhowmik

A novel neural network (NN) approach is proposed for constrained optimization. The proposed method uses a specially designed NN architecture and training/optimization procedure called Neural Optimization Machine (NOM). The objective…

机器学习 · 统计学 2022-08-10 Jie Chen , Yongming Liu

Recent research shows that supervised learning can be an effective tool for designing near-optimal feedback controllers for high-dimensional nonlinear dynamic systems. But the behavior of neural network controllers is still not well…

最优化与控制 · 数学 2022-10-10 Tenavi Nakamura-Zimmerer , Qi Gong , Wei Kang

This paper proposes a hard-constrained unsupervised learning framework for rapidly solving the non-linear and non-convex AC optimal power flow (AC-OPF) problem in real-time operation. Without requiring ground-truth AC-OPF solutions,…

系统与控制 · 电气工程与系统科学 2026-02-09 Kejun Chen , Bernard Knueven , Wesley Jones

Training learning parameterizations to solve optimal power flow (OPF) with pointwise constraints is proposed. In this novel training approach, a learning parameterization is substituted directly into an OPF problem with constraints required…

系统与控制 · 电气工程与系统科学 2025-10-24 Damian Owerko , Anna Scaglione , Alejandro Ribeiro

In recent years, graph neural networks (GNNs) have become increasingly popular for solving NP-hard combinatorial optimization (CO) problems, such as maximum cut and maximum independent set. The core idea behind these methods is to represent…

机器学习 · 计算机科学 2024-06-11 Yang Liu , Peng Zhang , Yang Gao , Chuan Zhou , Zhao Li , Hongyang Chen

This work establishes a general stochastic maximum principle for partially observed optimal control of semi-linear stochastic partial differential equations in a nonconvex control domain. The state evolves in a Hilbert space driven by a…

最优化与控制 · 数学 2025-04-22 Yanzhao Cao , Hongjiang Qian , George Yin