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General distribution steering is intrinsically an infinite-dimensional problem, when the continuous distributions to steer are arbitrary. We put forward a moment representation of the primal system for control in [42]. However, the system…

最优化与控制 · 数学 2025-04-01 Guangyu Wu , Anders Lindquist

We study data-driven learning of robust stochastic control for infinite-horizon systems with potentially continuous state and action spaces. In many managerial settings--supply chains, finance, manufacturing, services, and dynamic…

机器学习 · 统计学 2025-11-18 Shengbo Wang , Jason Meng , Nian Si , Jose Blanchet , Zhengyuan Zhou

Optimal control problems with discrete-valued inputs are inherently challenging due to their mixed-integer nature, rendering them generally intractable for real-time, safety-critical aerospace applications. Lossless convexification offers a…

最优化与控制 · 数学 2026-05-22 Felipe Arenas-Uribe , Hasan A. Poonawala , Jesse B. Hoagg

In this paper, we consider the analysis and control of continuous-time nonlinear systems to ensure universal shifted stability and performance, i.e., stability and performance w.r.t. each forced equilibrium point of the system. This…

系统与控制 · 电气工程与系统科学 2023-08-17 Patrick J. W. Koelewijn , Siep Weiland , Roland Tóth

We consider the problem of controlling a possibly unknown linear dynamical system with adversarial perturbations, adversarially chosen convex loss functions, and partially observed states, known as non-stochastic control. We introduce a…

机器学习 · 计算机科学 2020-06-26 Max Simchowitz , Karan Singh , Elad Hazan

This paper presents a convex optimization-based method for finding the globally optimal solutions of a class of mixed-integer non-convex optimal control problems. We consider problems that are non-convex in the input norm, which is a…

最优化与控制 · 数学 2019-11-20 Danylo Malyuta , Michael Szmuk , Behcet Acikmese

We consider the problem of steering, via output feedback, the state distribution of a discrete-time, linear stochastic system from an initial Gaussian distribution to a terminal Gaussian distribution with prescribed mean and maximum…

最优化与控制 · 数学 2020-09-11 Jack Ridderhof , Kazuhide Okamoto , Panagiotis Tsiotras

In this paper we present a Learning Model Predictive Control (LMPC) strategy for linear and nonlinear time optimal control problems. Our work builds on existing LMPC methodologies and it guarantees finite time convergence properties for the…

系统与控制 · 电气工程与系统科学 2020-10-06 Ugo Rosolia , Francesco Borrelli

In this paper, we consider a varying terminal time structure for the stochastic optimal control problem under state constraints, in which the terminal time varies with the mean value of the state. In this new stochastic optimal control…

最优化与控制 · 数学 2024-09-05 Jin Shi , Shuzhen Yang

In this paper, we consider continuous-time stochastic optimal control problems where the cost is evaluated through a coherent risk measure. We provide an explicit gradient descent-ascent algorithm which applies to problems subject to…

最优化与控制 · 数学 2023-06-23 Gabriel Velho , Jean Auriol , Riccardo Bonalli

This paper considers the finite element approximation to parabolic optimal control problems with measure data in a nonconvex polygonal domain. Such problems usually possess low regularity in the state variable due to the presence of measure…

数值分析 · 数学 2024-03-12 Pratibha Shakya

Novel coordinate descent (CD) methods are proposed for minimizing nonconvex functions consisting of three terms: (i) a continuously differentiable term, (ii) a simple convex term, and (iii) a concave and continuous term. First, by extending…

最优化与控制 · 数学 2019-09-15 Qi Deng , Chenghao Lan

In continuum robotics, real-time robust shape estimation is crucial for planning and control tasks that involve physical manipulation in complex environments. In this paper, we present a novel stochastic observer-based shape estimation…

机器人学 · 计算机科学 2025-11-14 Guoqing Zhang , Long Wang

This paper studies finite-horizon robust tracking control for discrete-time linear systems, based on input-output data. We leverage behavioral theory to represent system trajectories through a set of noiseless historical data, instead of…

最优化与控制 · 数学 2021-02-25 Liang Xu , Mustafa Sahin Turan , Baiwei Guo , Giancarlo Ferrari-Trecate

This work considers the stability of nonlinear stochastic receding horizon control when the optimal controller is only computed approximately. A number of general classes of controller approximation error are analysed including…

最优化与控制 · 数学 2018-12-03 Francesco Bertoli , Adrian N. Bishop

We present a method for providing statistical guarantees on runtime safety and goal reachability for integrated planning and control of a class of systems with unknown nonlinear stochastic underactuated dynamics. Specifically, given a…

机器人学 · 计算机科学 2022-12-15 Craig Knuth , Glen Chou , Jamie Reese , Joe Moore

Stochastic optimal control, which has the goal of driving the behavior of noisy systems, is broadly applicable in science, engineering and artificial intelligence. Our work introduces Stochastic Optimal Control Matching (SOCM), a novel…

最优化与控制 · 数学 2024-10-14 Carles Domingo-Enrich , Jiequn Han , Brandon Amos , Joan Bruna , Ricky T. Q. Chen

In this article we present a novel discrete-time design approach which reduces the deteriorating effects of sampling on stability and performance in digitally controlled nonlinear mechanical systems. The method is motivated by recent…

系统与控制 · 电气工程与系统科学 2021-04-30 Paul Kotyczka , Tobias Thoma

In modern rail transportation, energy-efficient train control (EETC) is concerned with the optimal train speed trajectory or control strategies to achieve the minimum energy cost under various operation and traction constraints. This paper…

最优化与控制 · 数学 2022-01-27 Minling Feng , Kunpeng Wu , Shaofeng Lu

Safety is essential for reinforcement learning (RL) applied in real-world situations. Chance constraints are suitable to represent the safety requirements in stochastic systems. Previous chance-constrained RL methods usually have a low…

机器学习 · 计算机科学 2021-03-17 Baiyu Peng , Yao Mu , Yang Guan , Shengbo Eben Li , Yuming Yin , Jianyu Chen
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