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The problem under consideration is to drive a spatial vehicle to a target at a given final time while minimizing fuel consumption. This is a classical optimal control problem in a deterministic setting. However temporary stochastic failures…

Numerical Analysis · Mathematics 2025-11-19 Jean-Philippe Chancelier , Pierre Carpentier , Guy Cohen , Thierry Dargent , Richard Epenoy

Machine learning models have prevalent applications in many real-world problems, which increases the importance of correctness in the behaviour of these trained models. Finding a good test case that can reveal the potential failure in these…

Machine Learning · Computer Science 2022-06-14 Harsh Vardhan , Janos Sztipanovits

Design under uncertainty is a challenging problem, as a systems performance can be highly sensitive to variations in input parameters and model uncertainty. A conventional approach to addressing such problems is robust optimization, which…

Systems and Control · Electrical Eng. & Systems 2025-09-18 Maryam Ghasemzadeh , H M Dilshad Alam Digonta , Anand Balu Nellippallil , Anton van Beek

Simulation based or dynamic probabilistic risk assessment methodologies were primarily developed for proving a more realistic and complete representation of complex systems accident response. Such simulation based methodologies have proven…

Systems and Control · Electrical Eng. & Systems 2021-09-30 Parhizkar Tarannom , Mosleh Ali

The saturation-based reasoning methods are among the most theoretically developed ones and are used by most of the state-of-the-art first-order logic reasoners. In the last decade there was a sharp increase in performance of such systems,…

Artificial Intelligence · Computer Science 2008-02-18 Alexandre Riazanov

This paper introduces a first-order method for solving optimal powered descent guidance (PDG) problems, that directly handles the nonconvex constraints associated with the maximum and minimum thrust bounds with varying mass and the pointing…

Optimization and Control · Mathematics 2024-04-02 Jiwoo Choi , Jong-Han Kim

Continued great efforts have been dedicated towards high-quality trajectory generation based on optimization methods, however, most of them do not suitably and effectively consider the situation with moving obstacles; and more particularly,…

Systems and Control · Electrical Eng. & Systems 2020-08-05 Xiaoxue Zhang , Jun Ma , Zilong Cheng , Sunan Huang , Shuzhi Sam Ge , Tong Heng Lee

This paper presents a simple approach to low-thrust optimal-fuel and optimal-time transfer problems between two elliptic orbits using the Cartesian coordinates system. In this case, an orbit is described by its specific angular momentum and…

Optimization and Control · Mathematics 2014-12-09 Hantian Zhang , Dong Eui Chang , Qingjie Cao

Searching recurrent patterns in complex systems with high-dimensional phase spaces is an important task in diverse fields. In the current work, an improved scheme is proposed to accelerate the recently designed variational approach for…

Chaotic Dynamics · Physics 2022-01-11 Ding Wang , Yueheng Lan

The minimum-fuel orbital transfer is analyzed in the case of a launcher upper stage using a constantly thrusting engine. The thrust level is assumed to be constant and its value is optimized together with the thrust direction. A closed-loop…

Optimization and Control · Mathematics 2017-04-05 Max Cerf

We consider several methods for generating initial guesses when iteratively solving sequences of linear systems, showing that they can be implemented efficiently in GPU-accelerated PDE solvers, specifically solvers for incompressible flow.…

Numerical Analysis · Mathematics 2020-09-24 Anthony P. Austin , Noel Chalmers , Tim Warburton

Unstable periodic orbits (UPOs) are believed to be the underlying dynamical structures of spatio-temporal chaos and turbulence. Finding these UPOs is however notoriously difficult. Matrix-free loop convergence algorithms deform entire…

Chaotic Dynamics · Physics 2025-07-02 Pierre Beck , Jeremy P. Parker , Tobias M. Schneider

This study presents a fast nonlinear programming algorithm for low-thrust multi-asteroid rendezvous missions. The core contribution is the derivation of analytical formulations for both first- and second-order gradients of low-thrust…

Instrumentation and Methods for Astrophysics · Physics 2026-04-22 An-Yi Huang , Ya-Zhong Luo

Trajectory optimization (TO) is an efficient tool to generate a redundant manipulator's joint trajectory following a 6-dimensional Cartesian path. The optimization performance largely depends on the quality of initial trajectories. However,…

Robotics · Computer Science 2026-02-10 Minsung Yoon , Mincheul Kang , Daehyung Park , Sung-Eui Yoon

Low-thrust electric propulsion missions are often designed under simplifying assumptions such as constant thrust or fixed specific impulse, neglecting the strong coupling between trajectory dynamics, spacecraft power availability, and…

Systems and Control · Electrical Eng. & Systems 2026-03-05 Yacob Medhin , Tushar Sial , Simone Servadio

Robust causal discovery from observational data under imperfect prior knowledge remains a significant and largely unresolved challenge. Existing methods typically presuppose perfect priors or can only handle specific, pre-identified error…

Machine Learning · Computer Science 2025-11-11 Zidong Wang , Xi Lin , Chuchao He , Xiaoguang Gao

While optimal input design for linear systems has been well-established, no systematic approach exists for nonlinear systems where robustness to extrapolation/interpolation errors is prioritized over minimizing estimated parameter variance.…

Systems and Control · Electrical Eng. & Systems 2025-05-09 Yuhan Liu , Máté Kiss , Roland Tóth , Maarten Schoukens

Traditional optimization-based planners, while effective, suffer from high computational costs, resulting in slow trajectory generation. A successful strategy to reduce computation time involves using Imitation Learning (IL) to develop fast…

The increasing use of renewable energy sources (RESs) and responsive loads has made power systems more uncertain. Meanwhile, thanks to the development of advanced metering and forecasting technologies, predictions by RESs and load owners…

Optimization and Control · Mathematics 2023-08-01 Rui Xie , Pierre Pinson , Yin Xu , Yue Chen

Nonlinear trajectory optimization algorithms have been developed to handle optimal control problems with nonlinear dynamics and nonconvex constraints in trajectory planning. The performance and computational efficiency of many trajectory…

Optimization and Control · Mathematics 2024-01-17 Taewan Kim , Purnanand Elango , Danylo Malyuta , Behcet Acikmese