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In recent years, formal methods have been extensively used in the design of autonomous systems. By employing mathematically rigorous techniques, formal methods can provide fully automated reasoning processes with provable safety guarantees…

Systems and Control · Electrical Eng. & Systems 2024-02-21 Xiang Yin , Bingzhao Gao , Xiao Yu

Control synthesis from temporal logic specifications has gained popularity in recent years. In this paper, we use a model predictive approach to control discrete time linear systems with additive bounded disturbances subject to constraints…

Systems and Control · Computer Science 2016-05-24 Sadra Sadraddini , Calin Belta

We present a controller synthesis algorithm for a discrete time reach-avoid problem in the presence of adversaries. Our model of the adversary captures typical malicious attacks envisioned on cyber-physical systems such as sensor spoofing,…

Systems and Control · Computer Science 2015-01-21 Zhenqi Huang , Yu Wang , Sayan Mitra , Geir Dullerud

In this paper, we investigate the control synthesis problem for Signal Temporal Logic (STL) specifications in the presence of uncontrollable agents. Existing works mainly address this problem in a robust control setting by assuming the…

Systems and Control · Electrical Eng. & Systems 2025-02-21 Bohan Cui , Xinyi Yu , Alessandro Giua , Xiang Yin

In this paper, we consider partially observable timed automata endowed with a single clock. A time interval is associated with each transition specifying at which clock values it may occur. In addition, a resetting condition associated to a…

Formal Languages and Automata Theory · Computer Science 2024-09-10 Chao Gao , Dimitri Lefebvre , Carla Seatzu , Zhiwu Li , Alessandro Giua

Ordinal automata are used to model physical systems with Zeno behavior. Using automata and games techniques we solve a control problem formulated and left open by Demri and Nowak in 2005. It involves partial observability and a new…

Computer Science and Game Theory · Computer Science 2007-05-23 Thierry Cachat

Stochastic hybrid systems have received significant attentions as a relevant modelling framework describing many systems, from engineering to the life sciences: they enable the study of numerous applications, including transportation…

Logic in Computer Science · Computer Science 2022-03-11 Abolfazl Lavaei , Sadegh Soudjani , Alessandro Abate , Majid Zamani

Reactive synthesis is a class of methods to construct a provably-correct control system, referred to as a robot, with respect to a temporal logic specification in the presence of a dynamic and uncontrollable environment. This is achieved by…

Formal Languages and Automata Theory · Computer Science 2020-04-24 Abhishek N. Kulkarni , Jie Fu

Many robot control scenarios involve assessing system robustness against a task specification. If either the controller or environment are composed of "black-box" components with unknown dynamics, we cannot rely on formal verification to…

Robotics · Computer Science 2022-02-23 Craig Innes , Subramanian Ramamoorthy

Prior work on automatic control synthesis for cyber-physical systems under logical constraints has primarily focused on environmental disturbances or modeling uncertainties, however, the impact of deliberate and malicious attacks has been…

Systems and Control · Electrical Eng. & Systems 2019-07-25 Luyao Niu , Andrew Clark

The objective of this paper is to solve the controller synthesis problem for bisimulation equivalence in a wide variety of scenarios including discrete-event systems, nonlinear control systems, behavioral systems, hybrid systems and many…

Optimization and Control · Mathematics 2007-11-22 Paulo Tabuada

In this paper, we consider the notions of effort and resilience of a dynamical control system defined by the maximum disturbance the system can withstand while satisfying given finite temporal logic specifications. Given a dynamical system…

Systems and Control · Electrical Eng. & Systems 2026-04-14 Youssef Ait Si , Ratnangshu Das , Negar Monir , Sadegh Soudjani , Pushpak Jagtap , Adnane Saoud

Weighted timed games are zero-sum games played by two players on a timed automaton equipped with weights, where one player wants to minimise the cumulative weight while reaching a target. Used in a reactive synthesis perspective, this…

Logic in Computer Science · Computer Science 2023-06-22 Damien Busatto-Gaston , Benjamin Monmege , Pierre-Alain Reynier

In timeline-based planning, domains are described as sets of independent, but interacting, components, whose behaviour over time (the set of timelines) is governed by a set of temporal constraints. A distinguishing feature of timeline-based…

Artificial Intelligence · Computer Science 2019-05-28 Nicola Gigante , Angelo Montanari , Marta Cialdea Mayer , Andrea Orlandini , Mark Reynolds

We discuss the problem of experimentally evaluating linear-time temporal logic (LTL) synthesis tools for reactive systems. We first survey previous such work for the currently publicly available synthesis tools, and then draw conclusions by…

Logic in Computer Science · Computer Science 2011-02-22 Rüdiger Ehlers

In this paper, a method to synthesize controllers using finite time convergence control barrier functions guided by linear temporal logic specifications for continuous time multi-agent dynamical systems is proposed. Finite time convergence…

Systems and Control · Computer Science 2018-08-08 Mohit Srinivasan , Samuel Coogan , Magnus Egerstedt

Timed automata (TA) is used for modeling systems with timing aspects. A TA extends a finite automaton with a set of real valued variables called clocks, that measure the time and constraints over the clocks guard the transitions. A…

Formal Languages and Automata Theory · Computer Science 2021-04-20 Ebru Aydin Gol

I/O conformance testing theories (e.g., ioco) are concerned with formally defining when observable output behaviors of an implementation conform to those permitted by a specification. Thereupon, several real-time extensions of ioco, usually…

Logic in Computer Science · Computer Science 2020-02-18 Lars Luthmann , Hendrik Göttmann , Malte Lochau

This paper presents a novel approach for steering the state of a stochastic control-affine system to a desired target within a finite time horizon. Our method leverages the time-reversal of diffusion processes to construct the required…

Optimization and Control · Mathematics 2025-09-11 Yuhang Mei , Amirhossein Taghvaei , Ali Pakniyat

We study the problem of controlling multi-agent systems under a set of signal temporal logic tasks. Signal temporal logic is a formalism that is used to express time and space constraints for dynamical systems. Recent methods to solve the…

Systems and Control · Electrical Eng. & Systems 2020-11-26 Lars Lindemann , Dimos V. Dimarogonas