Optimal Water-Power Flow Problem: Formulation and Distributed Optimal Solution

多目标水分配模型用于经济效率与环境可持续性：案例研究

A Multiobjective Water Allocation Model for Economic Efficiency and Environmental Sustainability: Case Study

本文提出多目标水分配模型，通过优化作物分配、地下水抽水和环境流量释放，平衡经济效率与环境可持续性，为灌溉管理提供决策支持工具。

On the O(1/k) Convergence of Asynchronous Distributed Alternating Direction Method of Multipliers

We consider a network of agents that are cooperatively solving a global optimization problem, where the objective function is the sum of privately known local objective functions of the agents and the decision variables are coupled via linear constraints. Recent literature focused on special cases of this formulation and studied their distributed solution through either subgradient based methods with O(1/sqrt(k)) rate of convergence (where k is the iteration number) or Alternating Direction Method of Multipliers (ADMM) based methods, which require a synchronous implementation and a globally kn…

基于灵敏度的分布式优化与模型预测控制综述

An Overview of Sensitivity-Based Distributed Optimization and Model Predictive Control

本文综述了基于灵敏度的分布式优化方法，并提出了一种实时的分布式模型预测控制器，通过实验验证其有效性。

A Linear Model for Distributed Flexibility Markets and DLMPs: A Comparison with the SOCP Formulation

This paper examines the performance trade-offs between an introduced linear flexibility market model for congestion management and a benchmark second-order cone programming (SOCP) formulation. The linear market model incorporates voltage magnitudes and reactive powers, while providing a simpler formulation than the SOCP model, which enables its practical implementation. The paper provides a structured comparison of the two formulations relying on developed deterministic and statistical Monte Carlo case analyses using two distribution test systems (the Matpower 69-bus and 141-bus systems). The …

迈向WaterLab：用于水分配网络中新网络物理技术的测试设施

Towards WaterLab: A Test Facility for New Cyber-Physical Technologies in Water Distribution Networks

本文介绍WaterLab的初步开发，旨在测试水分配网络中的新网络物理技术，重点在于无线控制网络和基于数据的分布式异常检测，以控制水力特性并检测隔离污染和水力故障。

Boundary observability of gravity water waves

Consider a three-dimensional fluid in a rectangular tank, bounded by a flat bottom, vertical walls and a free surface evolving under the influence of gravity. We prove that one can estimate its energy by looking only at the motion of the points of contact between the free surface and the vertical walls. The proof relies on the multiplier technique, the Craig-Sulem-Zakharov formulation of the water-wave problem, a Pohozaev identity for the Dirichlet to Neumann operator, previous results about the Cauchy problem and computations inspired by the analysis done by Benjamin and Olver of the conserva…

Complex Laplacian based Distributed Control for Multi-Agent Network

The work done in this paper, proposes a complex Laplacian-based distributed control scheme for convergence in the multi-agent network. The proposed scheme has been designated as cascade formulation. The proposed technique exploits the traditional method of organizing large scattered networks into smaller interconnected clusters to optimize information flow within the network. The complex Laplacian-based approach results in a hierarchical structure, with formation of a meta-cluster leading other clusters in the network. The proposed formulation enables flexibility to constrain the eigen spectra…

对抗性注水：理论、算法与基础模型

Adversarial Water-Filling: Theory, Algorithms, and a Domain-Specific Wireless Foundation Model

针对频率和空间上的竞争资源分配问题，提出对抗性注水（AWF）问题及其理论和算法，并开发无线基础模型学习AWF搜索动力学，实现超过一个数量级的运行时间改进。

基于全局优化的二维分布式水文-水动力及水质模型校准算法

Global Optimization-Based Calibration Algorithm for a 2D Distributed Hydrologic-Hydrodynamic and Water Quality Model

本文提出一种基于全局优化的算法，用于校准分布式水文-水动力及水质模型HydroPol2D，利用观测数据寻找近优参数，并在多个流域验证，同时探讨了等效性问题及其影响因素。

Space-time finite element methods for parabolic distributed optimal control problems

We present a method for the numerical approximation of distributed optimal control problems constrained by parabolic partial differential equations. We complement the first-order optimality condition by a recently developed space-time variational formulation of parabolic equations which is coercive in the energy norm, and a Lagrangian multiplier. Our final formulation fulfills the Babuška-Brezzi conditions on the continuous as well as discrete level, without restrictions. Consequently, we can allow for final-time desired states, and obtain an a-posteriori error estimator which is efficient and…

Pipe Roughness Identification of Water Distribution Networks: A Tensor Method

The identification of pipe roughnesses in a water distribution network is formulated as nonlinear system of algebraic equations which turns out to be demanding to solve under real-world circumstances. This paper proposes an enhanced technique to numerically solve this identification problem, extending the conventional Newton-Raphson approach with second-order derivatives in the determination of the search direction. Enabled through some interesting mathematical findings, the resulting formulation can be represented compactly and thus facilitates the development of an efficient and more robust …

A General Distributed Dual Coordinate Optimization Framework for Regularized Loss Minimization

In modern large-scale machine learning applications, the training data are often partitioned and stored on multiple machines. It is customary to employ the "data parallelism" approach, where the aggregated training loss is minimized without moving data across machines. In this paper, we introduce a novel distributed dual formulation for regularized loss minimization problems that can directly handle data parallelism in the distributed setting. This formulation allows us to systematically derive dual coordinate optimization procedures, which we refer to as Distributed Alternating Dual Maximizat…

多智能体系统资源分配分布式算法综述

Survey of Distributed Algorithms for Resource Allocation over Multi-Agent Systems

该综述聚焦多智能体系统分布式资源分配问题，梳理其数学表述、多领域应用、各类现有分布式算法方案及算法核心特性，为理解该交叉领域的挑战与解法提供全面参考。