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This paper deals with partially-observed optimal control problems for the state governed by stochastic differential equation with delay. We develop a stochastic maximum principle for this kind of optimal control problems using a variational…

Optimization and Control · Mathematics 2020-10-15 Shuaiqi Zhang , Xun Li , Jie Xiong

Despite measures to reduce congestion, occurrences of both recurrent and non-recurrent congestion cause large delays in road networks with important economic implications. Educated use of Intelligent Transportation Systems (ITS) can…

Optimization and Control · Mathematics 2021-11-23 Nikki Levering , Marko Boon , Michel Mandjes , Rudesindo Núñez-Queija

Technology advancement for on-road vehicles has gained significant momentum in the past decades, particularly in the field of vehicle automation and powertrain electrification. The optimization of powertrain controls for autonomous vehicles…

Systems and Control · Electrical Eng. & Systems 2023-12-14 Mohammadali Kargar , Xingyong Song

Safe operation of systems such as robots requires them to plan and execute trajectories subject to safety constraints. When those systems are subject to uncertainties in their dynamics, it is challenging to ensure that the constraints are…

Robotics · Computer Science 2022-01-13 Gokhan Alcan , Ville Kyrki

The main contributions of this paper are three fold. First, our primary concern is to investigate a class of stochastic recursive delayed control problems which arise naturally with sound backgrounds but have not been well-studied yet. For…

Optimization and Control · Mathematics 2011-12-06 Li Chen , Jianhui Huang

Trajectory following is one of the complicated control problems when its dynamics are nonlinear, stochastic and include a large number of parameters. The problem has significant difficulties including a large number of trials required for…

Robotics · Computer Science 2019-02-14 Ali Lenjani

There has been widespread interest in the use of grid-level storage to handle the variability from increasing penetrations of wind and solar energy. This problem setting requires optimizing energy storage and release decisions for anywhere…

Optimization and Control · Mathematics 2016-05-06 Tsvetan Asamov , Daniel F. Salas , Warren B. Powell

Routing problems are a class of combinatorial problems with many practical applications. Recently, end-to-end deep learning methods have been proposed to learn approximate solution heuristics for such problems. In contrast, classical…

Machine Learning · Computer Science 2021-12-06 Wouter Kool , Herke van Hoof , Joaquim Gromicho , Max Welling

The problem of synthesizing stochastic explicit model predictive control policies is known to be quickly intractable even for systems of modest complexity when using classical control-theoretic methods. To address this challenge, we present…

Machine Learning · Computer Science 2022-05-24 Ján Drgoňa , Sayak Mukherjee , Aaron Tuor , Mahantesh Halappanavar , Draguna Vrabie

In this paper, we consider the problem of minimum-time optimal control for a dynamical system with initial state uncertainties and propose a sequential convex programming (SCP) solution framework. We seek to minimize the expected terminal…

Optimization and Control · Mathematics 2024-09-17 Kazuya Echigo , Abhishek Cauligi , Behçet Açıkmeşe

We present a numerical method for computing optimal transition pathways and transition rates in systems of stochastic differential equations (SDEs). In particular, we compute the most probable transition path of stochastic equations by…

Dynamical Systems · Mathematics 2015-06-11 Brandon S. Lindley , Ira B. Schwartz

Hydrogen-electrical microgrids are increasingly assuming an important role on the pathway toward decarbonization of energy and transportation systems. This paper studies networked hydrogen-electrical microgrids planning (NHEMP), considering…

Optimization and Control · Mathematics 2025-01-22 Xunhang Sun , Xiaoyu Cao , Bo Zeng , Qiaozhu Zhai , Tamer Başar , Xiaohong Guan

We consider a general class of Dynamic Programming (DP) problems with non-separable objective functions. We show that for any problem in this class, there exists an augmented-state DP problem which satisfies the Principle of Optimality and…

Optimization and Control · Mathematics 2020-06-11 Morgan Jones , Matthew M. Peet

This paper presents a longitudinal slip control system for a rear-wheel-driven electric endurance race car. The control system integrates Model Predictive Control (MPC) with Extremum Seeking Control (ESC) to optimize the traction and…

Systems and Control · Electrical Eng. & Systems 2024-11-26 Wytze de Vries , Jorn van Kampen , Mauro Salazar

This paper analyzes the use of variable speed limits to optimize travel time reliability for commuters. The investigation focuses on a traffic corridor with a bottleneck subject to the capacity drop phenomenon. The optimization criterion is…

Optimization and Control · Mathematics 2025-09-16 Alexander Hammerl , Ravi Seshadri , Thomas Kjær Rasmussen , Otto Anker Nielsen

Trajectory optimization and posture generation are hard problems in robot locomotion, which can be non-convex and have multiple local optima. Progress on these problems is further hindered by a lack of open benchmarks, since comparisons of…

Robotics · Computer Science 2017-10-10 Martim Brandao , Kenji Hashimoto , Atsuo Takanishi

Indirect trajectory optimization methods such as Differential Dynamic Programming (DDP) have found considerable success when only planning under dynamic feasibility constraints. Meanwhile, nonlinear programming (NLP) has been the…

Optimization and Control · Mathematics 2022-05-06 Sumeet Singh , Jean-Jacques Slotine , Vikas Sindhwani

Trajectory optimization is a fundamental problem in robotics. While optimization of continuous control trajectories is well developed, many applications require both discrete and continuous, i.e., hybrid, controls. Finding an optimal…

Robotics · Computer Science 2017-03-03 Joni Pajarinen , Ville Kyrki , Michael Koval , Siddhartha Srinivasa , Jan Peters , Gerhard Neumann

The electrification and automation of mobility are reshaping how cities operate on-demand transport systems. Managing Electric Autonomous Mobility-on-Demand (EAMoD) fleets effectively requires coordinating dispatch, rebalancing, and…

Systems and Control · Electrical Eng. & Systems 2026-04-14 Sten Elling Tingstad Jacobsen , Balázs Kulcsár , Anders Lindman

We consider the problem of finding a control policy for a Markov Decision Process (MDP) to maximize the probability of reaching some states while avoiding some other states. This problem is motivated by applications in robotics, where such…