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Reachability analysis is a formal method to guarantee safety of dynamical systems under the influence of uncertainties. A substantial bottleneck of all reachability algorithms is the necessity to adequately tune specific algorithm…

数值分析 · 数学 2024-02-23 Mark Wetzlinger , Niklas Kochdumper , Stanley Bak , Matthias Althoff

This paper presents a novel approach to handle the computational complexity in security-constrained unit commitment (SCUC) with corrective network reconfiguration (CNR) to harness the flexibility in transmission networks. This is achieved…

最优化与控制 · 数学 2020-07-21 Arun Venkatesh Ramesh , Xingpeng Li , Kory W. Hedman

The optimal fault-tolerance achievable by any protocol has been characterized in a wide range of settings. For example, for state machine replication (SMR) protocols operating in the partially synchronous setting, it is possible to…

分布式、并行与集群计算 · 计算机科学 2025-08-01 Andrew Lewis-Pye , Tim Roughgarden

Machine learning (ML) training algorithms often possess an inherent self-correcting behavior due to their iterative-convergent nature. Recent systems exploit this property to achieve adaptability and efficiency in unreliable computing…

机器学习 · 计算机科学 2018-10-18 Aurick Qiao , Bryon Aragam , Bingjing Zhang , Eric P. Xing

Optimal path parameterization (OPP) is a fundamental problem for planning trajectories along a prescribed geometric path under kinodynamic constraints and task-dependent objectives. While TOPP minimizes traversal time, its saturating states…

最优化与控制 · 数学 2026-05-20 Yunan Wang , Jizhou Yan , Chuxiong Hu , Zeyang Li

Hamilton-Jacobi (HJ) reachability analysis is a powerful tool for analyzing the safety of autonomous systems. However, the provided safety assurances are often predicated on the assumption that once deployed, the system or its environment…

机器人学 · 计算机科学 2024-04-24 Javier Borquez , Kensuke Nakamura , Somil Bansal

Safety is a primary concern when applying reinforcement learning to real-world control tasks, especially in the presence of external disturbances. However, existing safe reinforcement learning algorithms rarely account for external…

机器学习 · 计算机科学 2023-10-12 Zeyang Li , Chuxiong Hu , Shengbo Eben Li , Jia Cheng , Yunan Wang

This paper proposes a novel approach to formulate time-optimal point-to-point motion planning and control under uncertainty. The approach defines a robustified two-stage Optimal Control Problem (OCP), in which stage 1, with a fixed time…

机器人学 · 计算机科学 2025-01-27 Shuhao Zhang , Jan Swevers

We propose an efficient algorithm for the optimal control problems (OCPs) of nonlinear switched systems that optimizes the control input and switching instants simultaneously for a given switching sequence. We consider the switching…

最优化与控制 · 数学 2021-06-09 Sotaro Katayama , Toshiyuki Ohtsuka

In Reinforcement Learning (RL), tasks with instantaneous hard constraints present significant challenges, particularly when the decision space is non-convex or non-star-convex. This issue is especially relevant in domains like autonomous…

机器学习 · 计算机科学 2025-02-27 Amirhossein Roknilamouki , Arnob Ghosh , Ming Shi , Fatemeh Nourzad , Eylem Ekici , Ness B. Shroff

This paper presents a provably optimal, real-time capable energy management policy for race cars that provides simple human-driver-implementable control cues. Specifically, we first formulate the energy-constrained minimum-lap-time control…

最优化与控制 · 数学 2026-03-04 Erik van den Eshof , Wytze de Vries , Mauro Salazar

This paper considers a nonconvex optimization problem that evolves over time, and addresses the synthesis and analysis of regularized primal-dual gradient methods to track a Karush-Kuhn-Tucker (KKT) trajectory. The proposed regularized…

最优化与控制 · 数学 2018-12-04 Yujie Tang , Emiliano Dall'Anese , Andrey Bernstein , Steven Low

Stochastic dynamical systems have emerged as fundamental models across numerous application domains, providing powerful mathematical representations for capturing uncertain system behavior. In this paper, we address the problem of runtime…

系统与控制 · 电气工程与系统科学 2025-11-13 Shenghua Feng , Jie An , Fanjiang Xu

We address the reachability problem for continuous-time stochastic dynamic systems. Our objective is to present a unified framework that characterizes the reachable set of a dynamic system in the presence of both stochastic disturbances and…

系统与控制 · 电气工程与系统科学 2024-09-04 Saber Jafarpour , Zishun Liu , Yongxin Chen

Deploying autonomous systems in safety critical settings necessitates methods to verify their safety properties. This is challenging because real-world systems may be subject to disturbances that affect their performance, but are unknown a…

系统与控制 · 电气工程与系统科学 2024-02-15 Nicholas Rober , Karan Mahesh , Tyler M. Paine , Max L. Greene , Steven Lee , Sildomar T. Monteiro , Michael R. Benjamin , Jonathan P. How

Fault tolerance overhead of high performance computing (HPC) applications is becoming critical to the efficient utilization of HPC systems at large scale. HPC applications typically tolerate fail-stop failures by checkpointing. Another…

分布式、并行与集群计算 · 计算机科学 2011-06-22 Erlin Yao , Mingyu Chen , Rui Wang , Wenli Zhang , Guangming Tan

Reachability analysis plays a central role in low-thrust spacecraft trajectory optimization by identifying which target states can be achieved under constraints on time, thrust, and propellant. Classical approaches construct reachable sets…

系统与控制 · 电气工程与系统科学 2026-05-25 Giacomo Acciarini , Dario Izzo , Zhong Zhang

This paper presents a framework for inverse learning of objective functions for constrained optimal control problems, which is based on the Karush-Kuhn-Tucker (KKT) conditions. We discuss three variants corresponding to different model…

系统与控制 · 电气工程与系统科学 2020-05-07 Marcel Menner , Melanie N. Zeilinger

In order to efficiently use the future generations of supercomputers, fault tolerance and power consumption are two of the prime challenges anticipated by the High Performance Computing (HPC) community. Checkpoint/Restart (CR) has been and…

分布式、并行与集群计算 · 计算机科学 2017-08-08 Faisal Shahzad , Jonas Thies , Moritz Kreutzer , Thomas Zeiser , Georg Hager , Gerhard Wellein

One of the major challenges in using extreme scale systems efficiently is to mitigate the impact of faults. Application-level checkpoint/restart (CR) methods provide the best trade-off between productivity, robustness, and performance.…

分布式、并行与集群计算 · 计算机科学 2020-07-02 Marcos Maroñas , Sergi Mateo , Kai Keller , Leonardo Bautista-Gomez , Eduard Ayguadé , Vicenç Beltran