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The problem of step tracking control with a switching input and without any continuous-valued inputs is considered. The control objective is to reduce the number of switchings to a minimal value. This approach finds interesting applications…

系统与控制 · 计算机科学 2015-02-24 Babak Tavassoli

This work investigates how disturbance-aware, robustness-embedded reference trajectories translate into driving performance when executed by professional drivers in a dynamic simulator. Three planned reference trajectories are compared…

The minimum-fuel orbital transfer is analyzed in the case of a launcher upper stage using a constantly thrusting engine. The thrust level is assumed to be constant and its value is optimized together with the thrust direction. A closed-loop…

最优化与控制 · 数学 2017-04-05 Max Cerf

Computing the shortest path between two given locations in a road network is an important problem that finds applications in various map services and commercial navigation products. The state-of-the-art solutions for the problem can be…

数据库 · 计算机科学 2012-02-01 Lingkun Wu , Xiaokui Xiao , Dingxiong Deng , Gao Cong , Andy Diwen Zhu , Shuigeng Zhou

The task of inducing, via continuous static state-feedback control, an asymptotically stable heteroclinic orbit in a nonlinear control system is considered in this paper. The main motivation comes from the problem of ensuring convergence to…

系统与控制 · 电气工程与系统科学 2023-02-16 Christian Fredrik Sætre , Anton S. Shiriaev

Over-break and under-break excavation is very common in practical tunnel engineering with asymmetrical cavity contour, while existing conformal mapping schemes of complex variable method generally focus on tunnelling with theoretical and…

数值分析 · 数学 2024-11-06 Luobin Lin , Fuquan Chen , Changjie Zheng , Shangshun Lin

The goal of this paper is to address finite-horizon minimum variance and covariance steering problems for discrete-time stochastic (Gaussian) linear systems. On the one hand, the minimum variance problem seeks for a control policy that will…

最优化与控制 · 数学 2020-11-12 Efstathios Bakolas

We study a PDE-constrained optimal control problem that involves functions of bounded variation as controls and includes the TV seminorm of the control in the objective. We apply a path-following inexact Newton method to the problems that…

最优化与控制 · 数学 2022-03-31 Dominik Hafemeyer , Florian Mannel

The goal of this article is to show a local exact controllability to smooth (C2) trajectories for the 2-d density dependent incompressible Navier-Stokes equations. Our controllability result requires some geometric condition on the ow of…

偏微分方程分析 · 数学 2014-07-08 Mehdi Badra , Sylvain Ervedoza , Sergio Guerrero

In an optimal control strategy, an important point is to define the cost of the control. Usually it is added to the control criterion and multiplied by a small coefficient denoted by $\varepsilon$ which is known as the marginal cost of the…

最优化与控制 · 数学 2024-12-03 Philippe Destuynder , Erwan Liberge

We generalize Newton-type methods for minimizing smooth functions to handle a sum of two convex functions: a smooth function and a nonsmooth function with a simple proximal mapping. We show that the resulting proximal Newton-type methods…

机器学习 · 统计学 2014-03-19 Jason D. Lee , Yuekai Sun , Michael A. Saunders

A low-Mach-number flow, in the laminar regime, has intrinsically two characteristic spatial scales for a given time scale, or two characteristic temporal scales for a given spatial scale, and these dual scales are very different due to the…

Efficient algorithms for the calculation of minimum energy paths of magnetic transitions are implemented within the geodesic nudged elastic band (GNEB) approach. While an objective function is not available for GNEB and a traditional line…

In this paper, we develop a three-dimensional multiple-relaxation-time lattice Boltzmann method (MRT-LBM) based on a set of non-orthogonal basis vectors. Compared with the classical MRT-LBM based on a set of orthogonal basis vectors, the…

流体动力学 · 物理学 2023-06-29 Linlin Fei , Jingyu Du , Kai H. Luo , Sauro Succi , Marco Lauricella , Andrea Montessori , Qian Wang

This brief proposes a quasi time-fuel optimal control strategy to solve the dynamic tracking problem of unmanned systems when fuel and control input are limited. This kind of motion planning and control strategy could bring the biggest…

科普物理 · 物理学 2021-11-25 Huaihang Zheng , Junzheng Wang , Dawei Shi , Dongchen Liu , Shoukun Wang

Planning problems are hard, motion planning, for example, isPSPACE-hard. Such problems are even more difficult in the presence of uncertainty. Although, Markov Decision Processes (MDPs) provide a formal framework for such problems, finding…

人工智能 · 计算机科学 2013-01-14 Carlos E. Guestrin , Dirk Ormoneit

This paper concerns rollout and certainty-equivalent rollout policies for stochastic shortest path problems with absorbing terminal states. The main result provides a direct non-asymptotic performance certificate for a fixed rollout policy:…

最优化与控制 · 数学 2026-05-25 Anders Hansson , Bo Wahlberg

Shortest path algorithms have played a key role in the past century, paving the way for modern day GPS systems to find optimal routes along static systems in fractions of a second. One application of these algorithms includes optimizing the…

数据结构与算法 · 计算机科学 2021-09-16 Tyler King , Michael Soltys

This paper proposes a sliding mode controller with smooth control effort for a class of nonlinear plants. The proposed controller is created by allowing some constant parameters of the earlier smooth sliding control (SSC) to vary as a…

系统与控制 · 电气工程与系统科学 2023-10-31 Alessandro Jacoud Peixoto , Wenderson G. Serrantola , Fernando Lizarralde

We study the consequences of the equivalence between the least gradient problem and a boundary-to-boundary optimal transport problem in two dimensions. We extend the relationship between the two problems to their respective dual problems,…

偏微分方程分析 · 数学 2021-02-12 Wojciech Górny