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Accurate vehicle trajectory prediction is essential for ensuring safety and efficiency in fully autonomous driving systems. While existing methods primarily focus on modeling observed motion patterns and interactions with other vehicles,…

机器学习 · 计算机科学 2025-07-15 Xinyi Ning , Zilin Bian , Dachuan Zuo , Semiha Ergan

Reachability analysis is an important method in providing safety guarantees for systems with unknown or uncertain dynamics. Due to the computational intractability of exact reachability analysis for general nonlinear, high-dimensional…

系统与控制 · 电气工程与系统科学 2025-09-12 Elizabeth Dietrich , Rosalyn Devonport , Stephen Tu , Murat Arcak

Combining efficient and safe control for safety-critical systems is challenging. Robust methods may be overly conservative, whereas probabilistic controllers require a trade-off between efficiency and safety. In this work, we propose a…

系统与控制 · 电气工程与系统科学 2022-09-16 Tim Brüdigam , Robert Jacumet , Dirk Wollherr , Marion Leibold

In this paper, we investigate the probabilistic formal verification of stochastic dynamical systems over continuous state spaces. Motivated by problems in state estimation and information-flow security, we introduce the notion of…

系统与控制 · 电气工程与系统科学 2026-04-07 Bohan Cui , Jianing Zhao , Yu Chen , Alessandro Abate , Marta Kwiatkowska , Xiang Yin

We present a general framework for optimizing the Conditional Value-at-Risk for dynamical systems using stochastic search. The framework is capable of handling the uncertainty from the initial condition, stochastic dynamics, and uncertain…

最优化与控制 · 数学 2021-02-16 Ziyi Wang , Oswin So , Keuntaek Lee , Camilo A. Duarte , Evangelos A. Theodorou

Iterative trajectory optimization techniques for non-linear dynamical systems are among the most powerful and sample-efficient methods of model-based reinforcement learning and approximate optimal control. By leveraging time-variant local…

系统与控制 · 电气工程与系统科学 2019-08-01 Onur Celik , Hany Abdulsamad , Jan Peters

In this paper, we compare several representative barrier-like conditions from the literature for infinite-horizon reach-avoid verification of stochastic discrete-time systems. Our comparison examines both their theoretical properties and…

系统与控制 · 电气工程与系统科学 2025-12-08 Zhipeng Cao , Peixin Wang , Luke Ong , Đorđe Žikelić , Dominik Wagner , Bai Xue

Assuring safety in discrete time stochastic hybrid systems is particularly difficult when only noisy or incomplete observations of the state are available. We first review a formulation of the probabilistic safety problem under noisy hybrid…

系统与控制 · 计算机科学 2015-07-07 Kendra Lesser , Meeko Oishi

We propose a stochastic reachability computation framework for occupancy prediction in automated driving by directly solving the underlying transport partial differential equation governing the advection of the closed-loop joint density…

最优化与控制 · 数学 2020-11-04 Shadi Haddad , Abhishek Halder , Baljeet Singh

Safety-critical applications require controllers/policies that can guarantee safety with high confidence. The control barrier function is a useful tool to guarantee safety if we have access to the ground-truth system dynamics. In practice,…

机器学习 · 计算机科学 2021-12-30 Athindran Ramesh Kumar , Sulin Liu , Jaime F. Fisac , Ryan P. Adams , Peter J. Ramadge

This work studies the synthesis of active perception policies for predictive safety monitoring in partially observable stochastic systems. Operating under strict sensing and communication budgets, the proposed monitor dynamically schedules…

系统与控制 · 电气工程与系统科学 2026-03-25 Sumukha Udupa , Jie Fu

In this paper, a sampling-based Stochastic Model Predictive Control algorithm is proposed for discrete-time linear systems subject to both parametric uncertainties and additive disturbances. One of the main drivers for the development of…

This paper presents a stochastic model predictive control approach for nonlinear systems subject to time-invariant probabilistic uncertainties in model parameters and initial conditions. The stochastic optimal control problem entails a cost…

最优化与控制 · 数学 2014-10-17 Stefan Streif , Matthias Karl , Ali Mesbah

This paper investigates necessary and sufficient barrier-like conditions for infinite-horizon safety and reach-avoid verification of stochastic discrete-time systems, derived via a relaxation of the Bellman equations. Unlike prior…

系统与控制 · 电气工程与系统科学 2026-01-06 Bai Xue

In automated driving, predicting and accommodating the uncertain future motion of other traffic participants is challenging, especially in unstructured environments in which the high-level intention of traffic participants is difficult to…

系统与控制 · 电气工程与系统科学 2024-02-05 Tommaso Benciolini , Yuntian Yan , Dirk Wollherr , Marion Leibold

In this paper, we propose a chance constrained stochastic model predictive control scheme for reference tracking of distributed linear time-invariant systems with additive stochastic uncertainty. The chance constraints are reformulated…

最优化与控制 · 数学 2023-03-07 Christoph Mark , Steven Liu

Reachability analysis is a popular method to give safety guarantees for stochastic cyber-physical systems (SCPSs) that takes in a symbolic description of the system dynamics and uses set-propagation methods to compute an overapproximation…

机器人学 · 计算机科学 2024-07-17 Navid Hashemi , Lars Lindemann , Jyotirmoy V. Deshmukh

We investigate the problem of monitoring partially observable systems with nondeterministic and probabilistic dynamics. In such systems, every state may be associated with a risk, e.g., the probability of an imminent crash. During runtime,…

计算机科学中的逻辑 · 计算机科学 2021-05-27 Sebastian Junges , Hazem Torfah , Sanjit A. Seshia

We examine Lagrangian techniques for computing underapproximations of finite-time horizon, stochastic reach-avoid level-sets for discrete-time, nonlinear systems. We use the concept of reachability of a target tube in the control literature…

系统与控制 · 计算机科学 2017-04-13 Joseph D. Gleason , Abraham P. Vinod , Meeko. M. K. Oishi

Ensuring safety through set invariance has proven to be a valuable method in various robotics and control applications. This paper introduces a comprehensive framework for the safe probabilistic invariance verification of both discrete- and…

系统与控制 · 电气工程与系统科学 2024-08-06 Taoran Wu , Yiqing Yu , Bican Xia , Ji Wang , Bai Xue