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This paper studies finite-time safety and reach-avoid verification for stochastic discrete-time dynamical systems. The aim is to ascertain lower and upper bounds of the probability that, within a predefined finite-time horizon, a system…

系统与控制 · 电气工程与系统科学 2025-10-22 Bai Xue

This paper presents a method for the simultaneous synthesis of a barrier certificate and a safe controller for discrete-time nonlinear stochastic systems. Our approach, based on piecewise stochastic control barrier functions, reduces the…

系统与控制 · 电气工程与系统科学 2025-07-24 Rayan Mazouz , Luca Laurenti , Morteza Lahijanian

An important tool for proving safety of dynamical systems is the notion of a barrier certificate. In this paper we prove that every robustly safe ordinary differential equation has a barrier certificate. Moreover, we show a construction of…

系统与控制 · 计算机科学 2018-08-02 Stefan Ratschan

A barrier certificate can separate the state space of a con- sidered hybrid system (HS) into safe and unsafe parts ac- cording to the safety property to be verified. Therefore this notion has been widely used in the verification of HSs. A…

系统与控制 · 计算机科学 2013-10-25 Liyun Dai , Ting Gan , Bican Xia , Naijun Zhan

Control Invariant (CI) sets are instrumental in certifying the safety of dynamical systems. Control Barrier Functions (CBFs) are effective tools to compute such sets, since the zero sublevel sets of CBFs are CI sets. However, computing CBFs…

系统与控制 · 电气工程与系统科学 2025-09-05 Sampath Kumar Mulagaleti , Andrea Del Prete

This paper investigates an important informationflow security property called opacity in partially-observed discrete-event systems. We consider the presence of a passive intruder (eavesdropper) that knows the dynamic model of the system and…

系统与控制 · 电气工程与系统科学 2020-10-28 Shuo Yang , Xiang Yin

We present the first review of methods to overapproximate the set of reachable states of linear time-invariant systems subject to uncertain initial states and input signals for short time horizons. These methods are fundamental to…

数值分析 · 数学 2022-06-02 Marcelo Forets , Christian Schilling

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

The efficient certification of classically intractable quantum devices has been a central research question for some time. However, to observe a "quantum advantage", it is believed that one does not need to build a large scale universal…

量子物理 · 物理学 2018-03-05 Daniel Mills , Anna Pappa , Theodoros Kapourniotis , Elham Kashefi

Barrier certificates, a form of state invariants, provide an automated approach to the verification of the safety of dynamical systems. Similarly to barrier certificates, recent works explore the notion of closure certificates, a form of…

系统与控制 · 电气工程与系统科学 2026-02-16 Mohammed Adib Oumer , Vishnu Murali , Majid Zamani

Cyber-physical systems (CPS) such as autonomous cars, aircraft, and robots are often also safety-critical; thus it is imperative that they operate as intended with a high degree of certainty. Formal verification has been employed to verify…

编程语言 · 计算机科学 2026-05-07 Serra Z. Dane , Jiawei Chen , Marc Pouzet , Jean-Baptiste Jeannin

The rapid integration of AI algorithms in safety-critical applications such as autonomous driving and healthcare is raising significant concerns about the ability to meet stringent safety standards. Traditional tools for formal safety…

人工智能 · 计算机科学 2026-01-21 Oliver Schön , Zhengang Zhong , Sadegh Soudjani

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

Barrier certificates are scalar functions over the state space of dynamical systems that separate all unsafe states from all reachable states. The existence of a barrier certificate formally verifies the safety of the dynamical system.…

系统与控制 · 电气工程与系统科学 2026-05-05 Miriam Kranzlmüller , Lukas Koller , Tobias Ladner , Matthias Althoff

In this paper, we investigate state estimation and opacity verification problems within a decentralized observation architecture. Specifically, we consider a discrete event system whose behavior is recorded by a set of observation sites.…

系统与控制 · 电气工程与系统科学 2025-08-18 Dajiang Sun , Christoforos N. Hadjicostis , Zhiwu Li

Tractable safety-ensuring algorithms for cyber-physical systems are important in critical applications. Approaches based on Control Barrier Functions assume continuous enforcement, which is not possible in an online fashion. This paper…

系统与控制 · 电气工程与系统科学 2022-01-03 Jan Schilliger , Thomas Lew , Spencer M. Richards , Severin Hänggi , Marco Pavone , Christopher Onder

This work is concerned with the safety controller synthesis of stochastic hybrid systems, in which continuous evolutions are described by stochastic differential equations with both Brownian motions and Poisson processes, and instantaneous…

系统与控制 · 电气工程与系统科学 2022-08-09 Abolfazl Lavaei , Sadegh Soudjani , Emilio Frazzoli

This work develops a robust adaptive control strategy for discrete-time systems using Control Barrier Functions (CBFs) to ensure safety under parametric model uncertainty and disturbances. A key contribution of this work is establishing a…

系统与控制 · 电气工程与系统科学 2026-02-05 Changrui Liu , Anil Alan , Shengling Shi , Bart De Schutter

Autonomous Cyber-Physical Systems (CPS) fuse proprioceptive sensors such as GPS and exteroceptive sensors including Light Detection and Ranging (LiDAR) and cameras for state estimation and environmental observation. It has been shown that…

系统与控制 · 电气工程与系统科学 2022-08-12 Hongchao Zhang , Shiyu Cheng , Luyao Niu , Andrew Clark

Certified randomness guaranteed to be unpredictable by adversaries is central to information security. The fundamental randomness inherent in quantum physics makes certification possible from devices that are only weakly characterised, i.e.…