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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…

Systems and Control · Electrical Eng. & Systems 2026-05-18 Ali Aminzadeh , MohammadHossein Ashoori , Amy Nejati , Abolfazl Lavaei

Reinforcement learning has been established over the past decade as an effective tool to find optimal control policies for dynamical systems, with recent focus on approaches that guarantee safety during the learning and/or execution phases.…

Systems and Control · Electrical Eng. & Systems 2021-10-06 S M Nahid Mahmud , Scott A Nivison , Zachary I. Bell , Rushikesh Kamalapurkar

This paper studies the security of cyber-physical systems under attacks. Our goal is to design system parameters, such as a set of initial conditions and input bounds so that it is secure by design. To this end, we propose new sufficient…

Systems and Control · Electrical Eng. & Systems 2022-01-03 Kunal Garg , Ricardo G. Sanfelice , Alvaro A. Cardenas

Considerable research has been devoted to deep learning-based predictive models for system prognostics and health management in the reliability and safety community. However, there is limited study on the utilization of deep learning for…

Machine Learning · Statistics 2021-09-07 Taotao Zhou , Enrique Lopez Droguett , Ali Mosleh

An inferential model (IM) is a model describing the construction of provably reliable, data-driven uncertainty quantification and inference about relevant unknowns. IMs and Fisher's fiducial argument have similar objectives, but a…

Statistics Theory · Mathematics 2026-05-06 Ryan Martin

This paper presents two stochastic model predictive control methods for linear time-invariant systems subject to unbounded additive uncertainties. The new methods are developed by formulating the chance constraints into deterministic form,…

Systems and Control · Electrical Eng. & Systems 2021-04-22 Fei Li , Huiping Li , Yuyao He

We initiate the systematic study of experimental quantum physics from the perspective of computational complexity. To this end, we define the framework of quantum algorithmic measurements (QUALMs), a hybrid of black box quantum algorithms…

Quantum Physics · Physics 2022-03-09 Dorit Aharonov , Jordan Cotler , Xiao-Liang Qi

We introduce a term algebra as a new formal specification language for the coordinating architectures of distributed systems consisting of a finite yet unbounded number of components. The language allows to describe infinite sets of systems…

Formal Languages and Automata Theory · Computer Science 2020-10-15 Marius Bozga , Radu Iosif

Model Predictive Control evolved as the state of the art paradigm for safety critical control tasks. Control-as-Inference approaches thereof model the constrained optimization problem as a probabilistic inference problem. The constraints…

Optimization and Control · Mathematics 2025-11-21 Jörn Tebbe , Andreas Besginow , Markus Lange-Hegermann

The Best Estimate plus Uncertainty (BEPU) approach for nuclear systems modeling and simulation requires that the prediction uncertainty must be quantified in order to prove that the investigated design stays within acceptance criteria. A…

Computation · Statistics 2023-03-24 Ziyu Xie , Farah Alsafadi , Xu Wu

We consider temporal logic verification of (possibly nonlinear) dynamical systems evolving over continuous state spaces. Our approach combines automata-based verification and the use of so-called barrier certificates. Automata-based…

Formal Languages and Automata Theory · Computer Science 2014-03-17 Tichakorn Wongpiromsarn , Ufuk Topcu , Andrew Lamperski

While the Graybox characterization method allows for implicit noise models and is platform-agnostic, the method lacks uncertainty quantification. Characterization of quantum devices is a crucial process that enables researchers to gain…

Quantum Physics · Physics 2025-09-30 Poramet Pathumsoot , Michal Hajdušek , Rodney Van Meter

The use of deductive techniques, such as theorem provers, has several advantages in safety verification of hybrid sys- tems; however, state-of-the-art theorem provers require ex- tensive manual intervention. Furthermore, there is often a…

Logic in Computer Science · Computer Science 2021-09-08 Nikos Arechiga , James Kapinski , Jyotirmoy Deshmukh , Andre Platzer , Bruce Krogh

Validation is often defined as the process of determining the degree to which a model is an accurate representation of the real world from the perspective of its intended uses. Validation is crucial as industries and governments depend…

Data Analysis, Statistics and Probability · Physics 2015-06-26 D. Sornette , A. B. Davis , K. Ide , K. R. Vixie , V. Pisarenko , J. R. Kamm

Invariants are a set of properties over program attributes that are expected to be true during the execution of a program. Since developing those invariants manually can be costly and challenging, there are a myriad of approaches that…

Robotics · Computer Science 2020-12-15 Meriel Stein , Sebastian Elbaum , Lu Feng , Shili Sheng

This work provides a formalized model-invariant safety system for closed-loop anesthesia that uses feedback from measured data for model falsification to reduce conservatism. The safety system maintains predicted propofol plasma…

Systems and Control · Computer Science 2018-04-20 Mahdi Yousefi , Klaske van Heusden , Ian M. Mitchell , J. Mark Ansermino , Guy A. Dumont

Model checkers use automated state exploration in order to prove various properties such as reachability, non-reachability, and bisimulation over state transition systems. While model checkers have proved valuable for locating errors in…

Logic in Computer Science · Computer Science 2015-08-03 Quentin Heath , Dale Miller

In this work, we aim at augmenting the decisions output by quantum models with "error bars" that provide finite-sample coverage guarantees. Quantum models implement implicit probabilistic predictors that produce multiple random decisions…

Quantum Physics · Physics 2023-10-24 Sangwoo Park , Osvaldo Simeone

We propose to leverage epistemic uncertainty about constraint satisfaction of a reinforcement learner in safety critical domains. We introduce a framework for specification of requirements for reinforcement learners in constrained settings,…

Artificial Intelligence · Computer Science 2021-02-09 Lenz Belzner , Martin Wirsing

We introduce a constraint-based framework for studying infinite qualitative simulations concerned with contingencies such as time, space, shape, size, abstracted into a finite set of qualitative relations. To define the simulations, we…

Artificial Intelligence · Computer Science 2007-05-23 Krzysztof R. Apt , Sebastian Brand