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Formal methods have provided approaches for investigating software engineering fundamentals and also have high potential to improve current practices in dependability assurance. In this article, we summarise known strengths and weaknesses…

Software Engineering · Computer Science 2019-11-06 Mario Gleirscher , Simon Foster , Jim Woodcock

We present a tool-supported approach for the synthesis, verification and validation of the control software responsible for the safety of the human-robot interaction in manufacturing processes that use collaborative robots. In human-robot…

This paper presents the initial results from our structured literature review on applications of Formal Methods (FM) to Robotic Autonomous Systems (RAS). We describe our structured survey methodology; including database selection and…

Robotics · Computer Science 2025-09-26 Atef Azaiez , David A. Anisi , Marie Farrell , Matt Luckcuck

In this paper, we propose conformal inference based approach for statistical verification of CPS models. Cyber-physical systems (CPS) such as autonomous vehicles, avionic systems, and medical devices operate in highly uncertain…

Systems and Control · Electrical Eng. & Systems 2021-07-16 Chuchu Fan , Xin Qin , Yuan Xia , Aditya Zutshi , Jyotirmoy Deshmukh

Signal temporal logic (STL) provides a user-friendly interface for defining complex tasks for robotic systems. Recent efforts aim at designing control laws or using reinforcement learning methods to find policies which guarantee…

Systems and Control · Computer Science 2019-03-12 Peter Varnai , Dimos V. Dimarogonas

We formalize synthesis of shared control protocols with correctness guarantees for temporal logic specifications. More specifically, we introduce a modeling formalism in which both a human and an autonomy protocol can issue commands to a…

Robotics · Computer Science 2016-10-28 Nils Jansen , Murat Cubuktepe , Ufuk Topcu

Any industrial system goes along with objectives to be met (e.g. economic performance), disturbances to handle (e.g. market fluctuations, catalyst decay, unexpected variations in uncontrolled flow rates and compositions,...), and…

Optimization and Control · Mathematics 2021-08-20 Aris Papasavvas

Reinforcement learning (RL) has gained traction for its success in solving complex tasks for robotic applications. However, its deployment on physical robots remains challenging due to safety risks and the comparatively high costs of…

Robotics · Computer Science 2025-02-24 Jefferson Silveira , Joshua A. Marshall , Sidney N. Givigi

Leveraging recent developments in black-box risk-aware verification, we provide three algorithms that generate probabilistic guarantees on (1) optimality of solutions, (2) recursive feasibility, and (3) maximum controller runtimes for…

Optimization and Control · Mathematics 2023-03-14 Prithvi Akella , Wyatt Ubellacker , Aaron D. Ames

Many modern autonomous systems, particularly multi-agent systems, are time-critical and need to be robust against timing uncertainties. Previous works have studied left and right time robustness of signal temporal logic specifications by…

Systems and Control · Electrical Eng. & Systems 2023-06-09 Alëna Rodionova , Lars Lindemann , Manfred Morari , George J. Pappas

Assume that a target is known to be present at an unknown point among a finite set of locations in the plane. We search for it using a mobile robot that has imperfect sensing capabilities. It takes time for the robot to move between…

Formal Methods are mathematically-based techniques for software design and engineering, which enable the unambiguous description of and reasoning about a system's behaviour. Autonomous systems use software to make decisions without human…

Software Engineering · Computer Science 2021-07-29 Matt Luckcuck

The timed automata formalism is an important model for specifying and analysing real-time systems. Robustness is the correctness of the model in the presence of small drifts on clocks or imprecision in testing guards. A symbolic algorithm…

Logic in Computer Science · Computer Science 2010-04-01 Piotr Kordy , Rom Langerak , Jan Willem Polderman

Ensuring correctness of timed behaviors in cyber-physical systems (CPS) using closed-loop verification is challenging due to the hybrid dynamics in both systems and environments. Simulink and Stateflow are tools for model-based design that…

Software Engineering · Computer Science 2019-11-01 Li Huang , Eun-Young Kang

Numerical software are widely used in safety-critical systems such as aircrafts, satellites, car engines and so on, facilitating dynamics control of such systems in real time, it is therefore absolutely necessary to verify their…

Optimization and Control · Mathematics 2018-10-30 Bai Xue , Naijun Zhan , Yangjia Li , Qiuye Wang

This paper explores general multi-robot task and motion planning, where multiple robots in close proximity manipulate objects while satisfying constraints and a given goal. In particular, we formulate the plan refinement problem--which,…

Robotics · Computer Science 2023-09-19 Yoonchang Sung , Rahul Shome , Peter Stone

This paper presents a mathematical approach for improving the performance of a control system by modifying the time delay at certain operating conditions. This approach converts a continuous time loop into a discrete time loop. The formula…

Systems and Control · Computer Science 2015-03-03 Salem Alkhalaf

Cyber-Physical Systems (CPSs), especially those involving autonomy, need guarantees of their safety. Runtime Enforcement (RE) is a lightweight method to formally ensure that some specified properties are satisfied over the executions of the…

Systems and Control · Electrical Eng. & Systems 2025-02-18 Han Su , Saumya Shankar , Srinivas Pinisetty , Partha S. Roop , Naijun Zhan

Control theory is an important cornerstone of the robotics field and is considered a fundamental subject in an undergraduate and postgraduate robotics curriculum. Furthermore, project-based learning has shown significant benefits in…

Robotics · Computer Science 2026-03-19 Siavash Farzan

This paper defines and solves a mathematical model for finding robust periodic timetables by proposing an extension of the Periodic Event Scheduling Problem (PESP). In order to model delayed and not nominal travel times already in the…

Optimization and Control · Mathematics 2019-07-11 Julius Pätzold
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