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A geometric setup for control theory is presented. The argument is developed through the study of the extremals of action functionals defined on piecewise differentiable curves, in the presence of differentiable non-holonomic constraints.…

最优化与控制 · 数学 2015-05-18 Enrico Massa , Danilo Bruno , Enrico Pagani

This paper provides a rigorous derivation for what is known in the literature as the Lie bracket approximation of control-affine systems in a more general and sequential framework for higher-orders. In fact, by using chronological calculus,…

最优化与控制 · 数学 2026-04-21 Sameer Pokhrel , Sameh A. Eisa

We introduce a variational algorithm to estimate the likelihood of a rare event within a nonequilibrium molecular dynamics simulation through the evaluation of an optimal control force. Optimization of a control force within a chosen basis…

统计力学 · 物理学 2021-01-14 Avishek Das , David T. Limmer

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

For uncertain multiple inputs multi-outputs (MIMO) nonlinear systems, it is nontrivial to achieve asymptotic tracking, and most existing methods normally demand certain controllability conditions that are rather restrictive or even…

系统与控制 · 电气工程与系统科学 2023-01-02 Bing Zhou , Xiucai Huang , Yongduan Song

Systematic design and verification of advanced control strategies for complex systems under uncertainty largely remains an open problem. Despite the promise of blackbox optimization methods for automated controller tuning, they generally…

系统与控制 · 电气工程与系统科学 2020-11-17 Joel A. Paulson , Ali Mesbah

In quantum control, the robustness with respect to uncertainties in the system's parameters or driving field characteristics is of paramount importance and has been studied theoretically, numerically and experimentally. We test in this…

数值分析 · 数学 2019-12-04 Gabriel Turinici

In statistics and machine learning, approximation of an intractable integration is often achieved by using the unbiased Monte Carlo estimator, but the variances of the estimation are generally high in many applications. Control variates…

机器学习 · 统计学 2019-10-16 Ruosi Wan , Mingjun Zhong , Haoyi Xiong , Zhanxing Zhu

Neural Networks (NNs) can provide major empirical performance improvements for robotic systems, but they also introduce challenges in formally analyzing those systems' safety properties. In particular, this work focuses on estimating the…

系统与控制 · 电气工程与系统科学 2021-05-26 Michael Everett , Golnaz Habibi , Jonathan P. How

In this paper, we study the control of a class of time-invariant linear ensemble systems whose natural dynamics are linear in the system parameter. This class of ensemble control systems arises from practical engineering and physical…

最优化与控制 · 数学 2014-10-07 Jr-Shin Li , Ji Qi

In this paper, we propose the concept of accelerated convergence that has originally been developed to speed up the convergence of numerical methods for extremum seeking (ES) loops. We demonstrate how the dynamics of ES loops may be…

系统与控制 · 电气工程与系统科学 2022-12-15 Jan-Henrik Metsch , Jonathan Neuhauser , Jerome Jouffroy , Taous-Meriem Laleg-Kirati , Johann Reger

Nonlinear receding horizon model predictive control is a powerful approach to controlling nonlinear dynamical systems. However, typical approaches that use the Jacobian, adjoint, and forward-backward passes may lose fidelity and efficacy…

系统与控制 · 电气工程与系统科学 2023-05-23 Erina Yamaguchi , Sai Ravela

The present paper represents a continuation of our previous one. There, a continuous dependence result for the solution of an elliptic variational-hemivariational inequality was obtained and then used to prove the existence of optimal pairs…

偏微分方程分析 · 数学 2019-12-25 Yi-bin Xiao , Mircea Sofonea

We present a simple and at the same time fficient algorithm to compute all nondominated extreme points in the outcome set of multi-objective mixed integer linear programmes in any dimension. The method generalizes the well-known dichotomic…

最优化与控制 · 数学 2019-11-21 Anthony Przybylski , Kathrin Klamroth , Renaud Lacour

We introduce a new and efficient numerical method for multicriterion optimal control and single criterion optimal control under integral constraints. The approach is based on extending the state space to include information on a "budget"…

最优化与控制 · 数学 2016-01-06 Ajeet Kumar , Alexander Vladimirsky

We present a provably safe sampling-based motion planning algorithm for robotic systems affected by random disturbances of unknown distribution. We consider systems with linear or linearizable dynamics evolving in workspace with…

机器人学 · 计算机科学 2026-05-27 Ibon Gracia , Qi Heng Ho , Luca Laurenti , Morteza Lahijanian

We investigate a class of higher-order nonlinear dispersive equations posed on the circle, subject to additive forcing by a finite-dimensional control. Our main objective is to establish approximate controllability by using the…

偏微分方程分析 · 数学 2025-04-25 Debanjit Mondal

Extremes play a special role in Anomaly Detection. Beyond inference and simulation purposes, probabilistic tools borrowed from Extreme Value Theory (EVT), such as the angular measure, can also be used to design novel statistical learning…

机器学习 · 统计学 2016-04-01 Nicolas Goix , Anne Sabourin , Stéphan Clémençon

One approach for feedback control using high dimensional and rich sensor measurements is to classify the measurement into one out of a finite set of situations, each situation corresponding to a (known) control action. This approach…

最优化与控制 · 数学 2019-03-12 Hasan A. Poonawala , Niklas Lauffer , Ufuk Topcu

The Variation Evolving Method (VEM), which seeks the optimal solutions with the variation evolution principle, is further developed to be more flexible in solving the Optimal Control Problems (OCPs) with terminal constraint. With the…

系统与控制 · 计算机科学 2018-02-01 Sheng Zhang , Kai-Feng He , Fei Liao