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In this paper, based on the previous work [B. Shi, Z. Guo, Lattice Boltzmann model for nonlinear convection-diffusion equations, Phys. Rev. E 79 (2009) 016701], we develop a general multiple-relaxation-time (MRT) lattice Boltzmann model for…

计算物理 · 物理学 2016-04-01 Zhenhua Chai , Baochang Shi , Zhaoli Guo

The main goal of this paper is developing the method of discrete approximations to derive necessary optimality conditions for a class of constrained sweeping processes with nonsmooth perturbations. Optimal control problems for sweeping…

最优化与控制 · 数学 2020-05-13 Boris S. Mordukhovich , Dao Nguyen

This paper proposes a provably convergent multiblock ADMM for nonconvex optimization with nonlinear dynamics constraints, overcoming the divergence issue in classical extensions. We consider a class of optimization problems that arise from…

最优化与控制 · 数学 2025-06-24 Bowen Li , Ya-xiang Yuan

This paper presents an algorithm to solve non-convex optimal control problems, where non-convexity can arise from nonlinear dynamics, and non-convex state and control constraints. This paper assumes that the state and control constraints…

最优化与控制 · 数学 2017-05-05 Yuanqi Mao , Michael Szmuk , Behcet Acikmese

Reward fine-tuning of diffusion and flow models and sampling from tilted or Boltzmann distributions can both be formulated as stochastic optimal control (SOC) problems, where learning an optimal generative dynamics corresponds to optimizing…

最优化与控制 · 数学 2026-04-13 Carles Domingo-Enrich , Jiequn Han

In this paper we present a topology optimization technique applicable to a broad range of flow design problems. We propose also a discrete adjoint formulation effective for a wide class of Lattice Boltzmann Methods (LBM). This adjoint…

计算工程、金融与科学 · 计算机科学 2015-01-21 Łukasz Łaniewski-Wołłk , Jacek Rokicki

In this paper we present distributed and adaptive algorithms for motion coordination of a group of m autonomous vehicles. The vehicles operate in a convex environment with bounded velocity and must service demands whose time of arrival,…

机器人学 · 计算机科学 2016-11-17 Marco Pavone , Emilio Frazzoli , Francesco Bullo

In this paper, we propose, discuss, and validate an online Nonlinear Model Predictive Control (NMPC) method for multi-rotor aerial systems with arbitrarily positioned and oriented rotors which simultaneously addresses the local reference…

机器人学 · 计算机科学 2020-09-11 Davide Bicego , Jacopo Mazzetto , Ruggero Carli , Marcello Farina , Antonio Franchi

This paper proposes a parallel optimization algorithm for cooperative automation of large-scale connected vehicles. The task of cooperative automation is formulated as a centralized optimization problem taking the whole decision space of…

系统与控制 · 计算机科学 2018-08-01 Zhitao Wang , Yang Zheng , Shengbo Eben Li , Keyou You , Keqiang Li

This paper focuses on optimal control problem for a class of discrete-time nonlinear systems. In practical applications, computation time is a crucial consideration when solving nonlinear optimal control problems, especially under real-time…

最优化与控制 · 数学 2025-04-01 Chuanzhi Lv , Xunmin Yin , Hongdan Li , Huanshui Zhang

To achieve accurate contour tracking of robotic manipulators with dynamic uncertainties, coupling and actuator faults, an adaptive non-singular terminal sliding mode control (ANTSMC) based on cross-coupling is proposed. Firstly, the…

动力系统 · 数学 2021-10-19 Zhu Dachang , Du Baolin , Cui Aodong , Zhu Puchen

This paper addresses the optimal control problem of finite-horizon discrete-time nonlinear systems under state and control constraints. A novel numerical algorithm based on optimal control theory is proposed to achieve superior…

最优化与控制 · 数学 2025-03-21 Chuanzhi Lv , Hongdan Li , Huanshui Zhang

This paper proposes Distributed Model Predictive Covariance Steering (DiMPCS) for multi-agent control under stochastic uncertainty. The scope of our approach is to blend covariance steering theory, distributed optimization and model…

机器人学 · 计算机科学 2025-01-28 Augustinos D. Saravanos , Isin M. Balci , Efstathios Bakolas , Evangelos A. Theodorou

Optimal transport on a graph focuses on finding the most efficient way to transfer resources from one distribution to another while considering the graph's structure. This paper introduces a new distributed algorithm that solves the optimal…

最优化与控制 · 数学 2025-07-08 Yacine Mokhtari , Emmanuel Moulay , Patrick Coirault , Jérôme Le Ny

In this paper we present a convex formulation of the Model Predictive Control (MPC) optimisation for energy management in hybrid electric vehicles, and an Alternating Direction Method of Multipliers (ADMM) algorithm for its solution. We…

最优化与控制 · 数学 2019-01-24 Sebastian East , Mark Cannon

Collaborative transportation of heavy payloads via loco-manipulation is a challenging yet essential capability for legged robots operating in complex, unstructured environments. Centralized planning methods, e.g., holistic trajectory…

机器人学 · 计算机科学 2026-03-10 Ziyi Zhou , Pengyuan Shu , Ruize Cao , Yuntian Zhao , Ye Zhao

In this work we introduce a new optimal control algorithm for the Keller-Segel chemo-attraction system, where both boundary and distributed controls are considered and both are associated with introducing/removing the amount of chemical…

最优化与控制 · 数学 2026-03-20 F. Guillen-Gonzalez , F. Palmero-Ramos , M. A. Rodriguez-Bellido , G. Tierra

This paper introduces a novel approach to solving multi-block nonconvex composite optimization problems through a proximal linearized Alternating Direction Method of Multipliers (ADMM). This method incorporates an Increasing Penalization…

最优化与控制 · 数学 2025-04-01 Ganzhao Yuan

Lattice-Boltzmann methods are known for their simplicity, efficiency and ease of parallelization, usually relying on uniform Cartesian meshes with a strong bond between spatial and temporal discretization. This fact complicates the crucial…

数值分析 · 数学 2022-10-19 Thomas Bellotti , Loïc Gouarin , Benjamin Graille , Marc Massot

This paper develops a distributed model predictive control (DMPC) strategy for a class of discrete-time linear systems with consideration of globally coupled constraints. The DMPC under study is based on the dual problem concerning all…

最优化与控制 · 数学 2019-07-25 Yanxu Su , Yang Shi , Changyin Sun