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Real-time control of pumps can be an infeasible task in water distribution systems (WDSs) because the calculation to find the optimal pump speeds is resource-intensive. The computational need cannot be lowered even with the capabilities of…

Artificial Intelligence · Computer Science 2020-10-14 Gergely Hajgató , György Paál , Bálint Gyires-Tóth

This paper investigates the water network's potential ability to provide demand response services to the power grid under the framework of a distribution-level water-energy nexus (micro-WEN). In particular, the hidden controllability of…

Optimization and Control · Mathematics 2018-05-22 Qifeng Li , Suhyoun Yu , Ameena S. Al-Sumaiti , Konstantin Turitsyn

Natural gas consumption by users of pipeline networks is subject to increasing uncertainty that originates from the intermittent nature of electric power loads serviced by gas-fired generators. To enable computationally efficient…

Optimization and Control · Mathematics 2024-03-28 Saif R. Kazi , Sidhant Misra , Svetlana Tokareva , Kaarthik Sundar , Anatoly Zlotnik

In this paper, we propose an economic nonlinear model predictive control (MPC) algorithm for district heating networks (DHNs). The proposed method features prosumers, multiple producers, and storage systems, which are essential components…

Systems and Control · Electrical Eng. & Systems 2025-01-30 Max Sibeijn , Saeed Ahmed , Mohammad Khosravi , Tamás Keviczky

Planning and extension of water distribution systems (WDSs) plays a key role in the development of smart cities, driven by challenges such as urbanization and climate change. In this context, the correct estimation of physically correct…

Optimization and Control · Mathematics 2026-03-11 Janine Strotherm , Julian Rolfes , Barbara Hammer

This paper studies the problem of output agreement in networks of nonlinear dynamical systems under time-varying disturbances, using dynamic diffusive couplings. Necessary conditions are derived for general networks of nonlinear systems,…

Systems and Control · Computer Science 2013-12-02 Mathias Bürger , Claudio De Persis

We develop a novel computational framework to approximate solution operators of evolution partial differential equations (PDEs). By employing a general nonlinear reduced-order model, such as a deep neural network, to approximate the…

Numerical Analysis · Mathematics 2023-11-13 Nathan Gaby , Xiaojing Ye , Haomin Zhou

Ensuring solution feasibility is a key challenge in developing Deep Neural Network (DNN) schemes for solving constrained optimization problems, due to inherent DNN prediction errors. In this paper, we propose a ``preventive learning''…

Machine Learning · Computer Science 2023-05-18 Tianyu Zhao , Xiang Pan , Minghua Chen , Steven H. Low

Approximate dynamic programming (ADP) faces challenges in dealing with constraints in control problems. Model predictive control (MPC) is, in comparison, well-known for its accommodation of constraints and stability guarantees, although its…

Systems and Control · Electrical Eng. & Systems 2023-04-10 Kanghui He , Shengling Shi , Ton van den Boom , Bart De Schutter

Voltage control in power distribution networks has been greatly challenged by the increasing penetration of volatile and intermittent devices. These devices can also provide limited reactive power resources that can be used to regulate the…

Systems and Control · Computer Science 2016-07-26 Hao Jan Liu , Wei Shi , Hao Zhu

We propose a semi-discrete numerical scheme and establish well-posedness of a class of parabolic systems. Such systems naturally arise while studying the optimal control of grain boundary motions. The latter is typically described using a…

Analysis of PDEs · Mathematics 2018-10-26 Harbir Antil , Ken Shirakawa , Noriaki Yamazaki

In this study, we propose a graph neural network (GNN) model for efficiently predicting the flow behavior of non-Newtonian fluids with free surface dynamics. The numerical analysis of non-Newtonian fluids presents significant challenges, as…

Fluid Dynamics · Physics 2025-09-30 Hyo-Jin Kim , Jaekwang Kim , Hyung-Jun Park

Many systems exhibit a mixture of continuous and discrete dynamics. We consider a family of mixed-integer non-convex non-linear optimisation problems obtained in discretisations of optimal control of such systems. For this family, a…

Optimization and Control · Mathematics 2020-01-23 Jorn Baayen , Jakub Marecek

The evolution of dynamical systems is generically governed by nonlinear partial differential equations (PDEs), whose solution, in a simulation framework, requires vast amounts of computational resources. In this work, we present a novel…

Machine Learning · Computer Science 2023-09-01 Michael Rotman , Amit Dekel , Ran Ilan Ber , Lior Wolf , Yaron Oz

A distributed model predictive control (DMPC) approach based on distributed optimization is applied to the power reference tracking problem of a hydro power valley (HPV) system. The applied optimization algorithm is based on accelerated…

Optimization and Control · Mathematics 2013-02-11 Minh Dang Doan , Pontus Giselsson , Tamás Keviczky , Bart De Schutter , Anders Rantzer

Water distribution networks (WDNs) are critical systems for our society and detecting leakages is important for minimizing losses and water waste. This makes optimal sensor placement for leakage detection very relevant. Existing sensor…

Systems and Control · Electrical Eng. & Systems 2025-08-20 J. J. H. van Gemert , V. Breschi , D. R. Yntema , K. J. Keesman , M. Lazar

Classical adaptive control proves total-system stability for control of linear plants, but only for plants meeting very restrictive assumptions. Approximate Dynamic Programming (ADP) has the potential, in principle, to ensure stability…

adap-org · Physics 2015-06-24 Paul J. Werbos

Surface partial differential equations arise in numerous scientific and engineering applications. Their numerical solution on static and evolving surfaces remains challenging due to geometric complexity and, for evolving geometries, the…

Numerical Analysis · Mathematics 2026-03-03 Jingbo Sun , Fei Wang

Developing efficient numerical algorithms for the solution of high dimensional random Partial Differential Equations (PDEs) has been a challenging task due to the well-known curse of dimensionality. We present a new solution framework for…

Machine Learning · Computer Science 2019-10-17 Mohammad Amin Nabian , Hadi Meidani

The control of complex systems is of critical importance in many branches of science, engineering, and industry. Controlling an unsteady fluid flow is particularly important, as flow control is a key enabler for technologies in energy…

Machine Learning · Computer Science 2020-12-18 Katharina Bieker , Sebastian Peitz , Steven L. Brunton , J. Nathan Kutz , Michael Dellnitz
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