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In this paper, we propose a data-driven approach to formally verify the safety of (potentially) unknown discrete-time continuous-space stochastic systems. The proposed framework is based on a notion of barrier certificates together with…

系统与控制 · 电气工程与系统科学 2021-12-24 Ali Salamati , Abolfazl Lavaei , Sadegh Soudjani , Majid Zamani

This paper studies the problem of enforcing safety of a stochastic dynamical system over a finite time horizon. We use stochastic barrier functions as a means to quantify the probability that a system exits a given safe region of the state…

系统与控制 · 计算机科学 2019-05-30 Cesar Santoyo , Maxence Dutreix , Samuel Coogan

In large-scale networks of uncertain dynamical systems, where communication is limited and there is a strong interaction among subsystems, learning local models and control policies offers great potential for designing high-performance…

系统与控制 · 电气工程与系统科学 2021-11-08 Andrea Carron , Jerome Sieber , Melanie N. Zeilinger

We investigate the problem of verifying different properties of discrete time dynamical systems, namely, reachability, safety and reach-while-avoid. To achieve this, we adopt a data driven perspective and, using past system trajectories as…

系统与控制 · 电气工程与系统科学 2025-08-13 Luke Rickard , Alessandro Abate , Kostas Margellos

We investigate the important problem of certifying stability of reinforcement learning policies when interconnected with nonlinear dynamical systems. We show that by regulating the input-output gradients of policies, strong guarantees of…

系统与控制 · 计算机科学 2018-10-30 Ming Jin , Javad Lavaei

Designing provably safe control is a core problem in trustworthy autonomy. However, most prior work in this regard assumes either that the system dynamics are known or deterministic, or that the state and action space are finite,…

机器人学 · 计算机科学 2026-02-04 Xinhang Ma , Junlin Wu , Yiannis Kantaros , Yevgeniy Vorobeychik

Neural networks have become increasingly popular in controller design due to their versatility and efficiency. However, their integration into feedback systems can pose stability challenges, particularly in the presence of uncertainties.…

最优化与控制 · 数学 2025-03-04 Yuhao Zhang , Xiangru Xu

In this paper, we revisit the formal verification problem for stochastic dynamical systems over finite horizon using barrier certificates. Most existing work on this topic focuses on safety properties by constructing barrier certificates…

系统与控制 · 电气工程与系统科学 2025-07-24 Yu Chen , Shaoyuan Li , Xiang Yin

Many safety-critical scientific and engineering systems evolve according to differential-algebraic equations (DAEs), where dynamical behavior is constrained by physical laws and admissibility conditions. In practice, these systems operate…

机器学习 · 计算机科学 2026-04-14 Minxing Zheng , Zewei Deng , Liyan Xie , Shixiang Zhu

Modern nonlinear control theory seeks to endow systems with properties such as stability and safety, and has been deployed successfully across various domains. Despite this success, model uncertainty remains a significant challenge in…

系统与控制 · 电气工程与系统科学 2021-04-02 Andrew J. Taylor , Victor D. Dorobantu , Sarah Dean , Benjamin Recht , Yisong Yue , Aaron D. Ames

As autonomous systems become more complex and integral in our society, the need to accurately model and safely control these systems has increased significantly. In the past decade, there has been tremendous success in using deep learning…

机器人学 · 计算机科学 2024-09-10 Hao Wang , Javier Borquez , Somil Bansal

Many safety-critical control systems must operate under latent uncertainty that sensors cannot directly resolve at decision time. Such uncertainty, arising from unknown physical properties, exogenous disturbances, or unobserved environment…

系统与控制 · 电气工程与系统科学 2026-04-07 Clinton Enwerem , John S. Baras , Calin Belta

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

Approaches to keeping a dynamical system within state constraints typically rely on a model-based safety condition to limit the control signals. In the face of significant modeling uncertainty, the system can suffer from important…

系统与控制 · 电气工程与系统科学 2022-02-08 Marc-Antoine Beaudoin , Benoit Boulet

As control engineering methods are applied to increasingly complex systems, data-driven approaches for system identification appear as a promising alternative to physics-based modeling. While the Bayesian approaches prevalent for…

系统与控制 · 电气工程与系统科学 2024-08-07 Robert Lefringhausen , Supitsana Srithasan , Armin Lederer , Sandra Hirche

In this paper, we introduce a probabilistic approach to risk assessment of robot systems by focusing on the impact of uncertainties. While various approaches to identifying systematic hazards (e.g., bugs, design flaws, etc.) can be found in…

机器人学 · 计算机科学 2024-10-28 Woo-Jeong Baek , Tom P. Huck , Joschka Haas , Jonas Lewandrowski , Tamim Asfour , Torsten Kröger

This paper develops a physics-informed scenario approach for safety verification of nonlinear systems using barrier certificates (BCs) to ensure that system trajectories remain within safe regions over an infinite time horizon. Designing…

系统与控制 · 电气工程与系统科学 2026-05-18 Ali Aminzadeh , MohammadHossein Ashoori , Amy Nejati , Abolfazl Lavaei

Causal phenomena associated with rare events occur across a wide range of engineering problems, such as risk-sensitive safety analysis, accident analysis and prevention, and extreme value theory. However, current methods for causal…

机器学习 · 统计学 2023-07-19 Chih-Yuan Chiu , Kshitij Kulkarni , Shankar Sastry

To effectively control complex dynamical systems, accurate nonlinear models are typically needed. However, these models are not always known. In this paper, we present a data-driven approach based on Gaussian processes that learns models of…

机器学习 · 计算机科学 2017-10-17 Li Wang , Evangelos A. Theodorou , Magnus Egerstedt

This paper studies the problem of enforcing safety of a stochastic dynamical system over a finite-time horizon. We use stochastic control barrier functions as a means to quantify the probability that a system exits a given safe region of…

系统与控制 · 电气工程与系统科学 2019-09-12 Cesar Santoyo , Maxence Dutreix , Samuel Coogan