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We look into modeling fuel cell hybrid trains for the purpose of optimizing their operation using convex optimization. Models and constraints necessary to form a physically feasible yet convex problem are reviewed. This effort is described…

Optimization and Control · Mathematics 2021-10-26 Rabee Jibrin , Stuart Hillmansen , Clive Roberts

The trajectory planning problem (TPP) has become increasingly crucial in the research of next-generation transportation systems, but it presents challenges due to the non-linearity of its constraints. One specific case within TPP, namely…

Optimization and Control · Mathematics 2025-02-24 Yuanzheng Lei , Yao Cheng , Xianfeng Terry Yang

This article presents a new method for computing guaranteed convex and concave relaxations of nonlinear stochastic optimal control problems with final-time expected-value cost functions. This method is motivated by similar methods for…

Optimization and Control · Mathematics 2017-11-27 Yuanxun Shao , Dillard Robertson , Joseph Kirk Scott

We develop a rigorous framework for global non-convex optimization by reformulating the minimization problem as a discounted infinite-horizon optimal control problem. For non-convex, continuous, and possibly non-smooth objective functions…

Optimization and Control · Mathematics 2026-03-31 Yuyang Huang , Dante Kalise , Hicham Kouhkouh

We consider a robust optimization problem in an electric power system under uncertain demand and availability of renewable energy resources. Solving the deterministic alternating current optimal power flow (ACOPF) problem has been…

Optimization and Control · Mathematics 2021-02-16 Chaithanya Bandi , Krishnamurthy Dvijotham , David Morton , Haoxiang Yang

Connected and Automated Vehicles (CAVs), particularly those with a hybrid electric powertrain, have the potential to significantly improve vehicle energy savings in real-world driving conditions. In particular, the Eco-Driving problem seeks…

Systems and Control · Electrical Eng. & Systems 2021-08-06 Shreshta Rajakumar Deshpande , Shobhit Gupta , Abhishek Gupta , Marcello Canova

Connected and Automated Vehicles (CAVs), in particular those with multiple power sources, have the potential to significantly reduce fuel consumption and travel time in real-world driving conditions. In particular, the Eco-driving problem…

Systems and Control · Electrical Eng. & Systems 2023-09-21 Zhaoxuan Zhu , Shobhit Gupta , Abhishek Gupta , Marcello Canova

AC optimal power flow (AC OPF) is a fundamental problem in power system operations. Accurately modeling the network physics via the AC power flow equations makes AC OPF a challenging nonconvex problem. To search for global optima, recent…

Optimization and Control · Mathematics 2024-04-09 Mohammad Rasoul Narimani , Daniel K. Molzahn , Katherine R. Davis , Mariesa L. Crow

The powertrain of battery electric vehicles can be optimized to maximize the travel distance for a given amount of stored energy in the traction battery. To achieve this, a combined control and design problem has to be solved which results…

Optimization and Control · Mathematics 2021-02-24 Philipp Leise , Peter F. Pelz

In recent years, developments in plug in hybrid electric vehicles have provided various environmental and economic advantages. In the future smart grids, electric vehicles are seen as an important means of transportation to reduce…

Optimization and Control · Mathematics 2018-02-13 Shanxuei Chen , Elizabeth Olivioufski , Braian Dods , Mohammd Hamdi

This letter deals with the optimization problems of stochastic switching buffer networks, where the switching law is governed by Markov process. The dynamical buffer network is introduced, and its application in modeling the car-sharing…

Systems and Control · Electrical Eng. & Systems 2022-07-19 Chengyan Zhao , Kazunori Sakurama , Masaki Ogura

Non-convex optimization problems can be approximately solved via relaxation or local algorithms. For many practical problems such as optimal power flow (OPF) problems, both approaches tend to succeed in the sense that relaxation is usually…

Optimization and Control · Mathematics 2021-02-25 Fengyu Zhou , Steven H. Low

In this paper, we introduce a generalized dynamical unbalanced optimal transport framework by incorporating limited control input and mass dissipation, addressing limitations in conventional optimal transport for control applications. We…

Optimization and Control · Mathematics 2025-04-07 Dongjun Wu , Anders Rantzer

In this paper, we propose a Transformer-based framework for approximating solutions to infinite-dimensional optimization problems: calculus of variations problems and optimal control problems. Our approach leverages offline training on data…

Optimization and Control · Mathematics 2025-11-20 Gage MacLin , Venanzio Cichella , Andrew Patterson , Irene Gregory

We study compressible and incompressible nonlinear elasticity variational problems in a general context. Our main result gives a sufficient condition for an equilibrium to be a global energy minimizer, in terms of convexity properties of…

Analysis of PDEs · Mathematics 2020-11-04 Nassif Ghoussoub , Young-Heon Kim , Hugo Lavenant , Aaron Zeff Palmer

Combined heat and power dispatch promotes interactions and synergies between electric power systems and district heating systems. However, nonlinear and nonconvex heating flow imposes significant challenges on finding qualified solutions…

Systems and Control · Electrical Eng. & Systems 2021-03-12 Yibao Jiang , Can Wan , Audun Botterud , Yonghua Song , Mohammad Shahidehpour

This work explores methods to identify energy system designs for infeasible control co-design optimization problems. Control co-design, or CCD, has been recognized as a powerful tool to maximize energy system capabilities through…

Systems and Control · Electrical Eng. & Systems 2026-04-16 Tania Rifat Jahan , Donald J. Docimo

Though the convex optimization has been widely used in power systems, it still cannot guarantee to yield a tight (accurate) solution to some problems. To mitigate this issue, this paper proposes an ensemble learning based convex…

Systems and Control · Electrical Eng. & Systems 2020-05-18 Ren Hu , Qifeng Li , Feng Qiu

The Optimal Power Flow (OPF) problem is integral to the functioning of power systems, aiming to optimize generation dispatch while adhering to technical and operational constraints. These constraints are far from straightforward; they…

Machine Learning · Computer Science 2023-10-10 Andrew Rosemberg , Mathieu Tanneau , Bruno Fanzeres , Joaquim Garcia , Pascal Van Hentenryck

The optimal power flow (OPF) problem seeks to control power generation/demand to optimize certain objectives such as minimizing the generation cost or power loss in the network. It is becoming increasingly important for distribution…

Optimization and Control · Mathematics 2013-07-02 Lingwen Gan , Na Li , Ufuk Topcu , Steven H. Low
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