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This article addresses the problem of data-driven numerical optimal control for unknown nonlinear systems. In our scenario, we suppose to have the possibility of performing multiple experiments (or simulations) on the system. Experiments…

系统与控制 · 电气工程与系统科学 2025-06-19 Marco Borghesi , Lorenzo Sforni , Giuseppe Notarstefano

A class of exact penalty-type local search methods for optimal control problems with nonsmooth cost functional, nonsmooth (but continuous) dynamics, and nonsmooth state and control constraints is presented, in which the the penalty…

最优化与控制 · 数学 2023-02-21 M. V. Dolgopolik

We propose a novel approach to solving input- and state-constrained parametric mixed-integer optimal control problems using Differentiable Predictive Control (DPC). Our approach follows the differentiable programming paradigm by learning an…

系统与控制 · 电气工程与系统科学 2025-06-25 Ján Boldocký , Shahriar Dadras Javan , Martin Gulan , Martin Mönnigmann , Ján Drgoňa

An efficient method for solving large nonlinear problems combines Newton solvers and Domain Decomposition Methods (DDM). In the DDM framework, the boundary conditions can be chosen to be primal, dual or mixed. The mixed approach presents…

数值分析 · 数学 2018-02-07 Camille Negrello , Pierre Gosselet , Christian Rey

A pivotal task in quantum metrology, and quantum parameter estimation in general, is to de- sign schemes that achieve the highest precision with given resources. Standard models of quantum metrology usually assume the dynamics is fixed, the…

量子物理 · 物理学 2017-07-18 Jing Liu , Haidong Yuan

In this paper we develop numerical algorithm for solving inverse problem for the wave equation using Boundary Control method. The results of numerical experiments are represented.

数学物理 · 物理学 2009-09-30 Leonid Pestov , Victoria Bolgova , Oksana Kazarina

In this paper we propose a solution to the problem of parameter estimation of nonlinearly parameterized regressions--continuous or discrete time--and apply it for system identification and adaptive control. We restrict our attention to…

最优化与控制 · 数学 2019-10-18 Romeo Ortega , Vladislav Gromov , Emmanuel Nuño , Anton Pyrkin , Jose Guadalupe Romero

Reduced order modeling has gained considerable attention in recent decades owing to the advantages offered in reduced computational times and multiple solutions for parametric problems. The focus of this manuscript is the application of…

This paper addresses the question whether there are numerical schemes for constant-coefficient advection problems that can yield convergent solutions for an infinite time horizon. The motivation is that such methods may serve as building…

数值分析 · 数学 2020-10-30 Abhijit Biswas , Benjamin Seibold

The article discusses the gradient discretisation method (GDM) for distributed optimal control problems governed by diffusion equation with pure Neumann boundary condition. Using the GDM framework enables to develop an analysis that…

数值分析 · 数学 2018-10-09 Jerome Droniou , Neela Nataraj , Devika Shylaja

This work presents a new method for online selection of multiple penalty parameters for the alternating direction method of multipliers (ADMM) algorithm applied to optimization problems with multiple constraints or functionals with block…

图像与视频处理 · 电气工程与系统科学 2026-04-21 Luke Lozenski , Michael T. McCann , Brendt Wohlberg

Stream mining poses unique challenges to machine learning: predictive models are required to be scalable, incrementally trainable, must remain bounded in size (even when the data stream is arbitrarily long), and be nonparametric in order to…

机器学习 · 统计学 2015-08-21 Rocco De Rosa , Francesco Orabona , Nicolò Cesa-Bianchi

In this work, an adaptive predictive control scheme for linear systems with unknown parameters and bounded additive disturbances is proposed. In contrast to related adaptive control approaches that robustly consider the parametric…

系统与控制 · 电气工程与系统科学 2025-03-03 Johannes Teutsch , Christopher Narr , Sebastian Kerz , Dirk Wollherr , Marion Leibold

This paper develops and analyzes a general iterative framework for solving parameter-dependent and random convection-diffusion problems. It is inspired by the multi-modes method of [7,8] and the ensemble method of [20] and extends those…

数值分析 · 数学 2021-10-22 Xiaobing Feng , Yan Luo , Liet Vo , Zhu Wang

Adaptive optimal control of nonlinear dynamic systems with deterministic and known dynamics under a known undiscounted infinite-horizon cost function is investigated. Policy iteration scheme initiated using a stabilizing initial control is…

系统与控制 · 计算机科学 2015-05-21 Ali Heydari

This study proposes a method for designing stabilizing suboptimal controllers for nonlinear stochastic systems. These systems include time-invariant stochastic parameters that represent uncertainty of dynamics, posing two key difficulties…

最优化与控制 · 数学 2025-01-22 Yuji Ito , Kenji Fujimoto

The canonical proportional-integral-derivative (PID) control approach has been widely used in industrial application due to their simplicity and ease of use. However, its corresponding controller parameters are hard to be adjusted,…

最优化与控制 · 数学 2020-05-05 Xiaojun Zhou

Controlling the dispersion of a subset of decision variables in an optimization problem is crucial for enforcing fairness or load-balancing across a wide range of applications. Building on the well-known equivalence of finite-dimensional…

最优化与控制 · 数学 2026-05-15 Abhay Singh Bhadoriya , Deepjyoti Deka , Kaarthik Sundar

Stabilizing unstable periodic orbits in a chaotic invariant set not only reveals information about its structure but also leads to various interesting applications. For the successful application of a chaos control scheme, convergence speed…

适应与自组织系统 · 物理学 2016-10-10 Christian Bick , Marc Timme , Christoph Kolodziejski

Block-coordinate descent (BCD) is a popular framework for large-scale regularized optimization problems with block-separable structure. Existing methods have several limitations. They often assume that subproblems can be solved exactly at…

最优化与控制 · 数学 2019-11-05 Ching-pei Lee , Stephen J. Wright