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Finite abstractions (a.k.a. symbolic models) offer an effective scheme for approximating the complex continuous-space systems with simpler models in the discrete-space domain. A crucial aspect, however, is to establish a formal relation…

Systems and Control · Electrical Eng. & Systems 2024-12-06 Behrad Samari , Mahdieh Zaker , Abolfazl Lavaei

Reactive synthesis is a key technique for the design of correct-by-construction systems and has been thoroughly investigated in the last decades. It consists in the synthesis of a controller that reacts to environment's inputs satisfying a…

Formal Languages and Automata Theory · Computer Science 2020-08-13 Alessandro Cimatti , Luca Geatti , Nicola Gigante , Angelo Montanari , Stefano Tonetta

We propose a method for automatically generating abstract transformers for static analysis by abstract interpretation. The method focuses on linear constraints on programs operating on rational, real or floating-point variables and…

Logic in Computer Science · Computer Science 2019-03-14 David Monniaux

In this work, we introduce a compositional framework for the construction of finite abstractions (a.k.a. symbolic models) of interconnected discrete-time control systems. The compositional scheme is based on the joint dissipativity-type…

Systems and Control · Computer Science 2017-10-17 Abdalla Swikir , Antoine Girard , Majid Zamani

Predictive models are fundamental to engineering reliable software systems. However, designing conservative, computable approximations for the behavior of programs (static analyses) remains a difficult and error-prone process for modern…

Programming Languages · Computer Science 2011-05-10 David Van Horn , Matthew Might

Predicate abstraction is a key enabling technology for applying finite-state model checkers to programs written in mainstream languages. It has been used very successfully for debugging sequential system-level C code. Although model…

Programming Languages · Computer Science 2015-03-18 Alastair Donaldson , Alexander Kaiser , Daniel Kroening , Thomas Wahl

This paper proposes a method to compute finite abstractions that can be used for synthesizing robust hybrid control strategies for nonlinear systems. Most existing methods for computing finite abstractions utilize some global, analytical…

Systems and Control · Computer Science 2015-07-23 Yinan Li , Jun Liu , Necmiye Ozay

In this paper, we consider the problem of controller design using approximately bisimilar abstractions with an emphasis on safety and reachability specifications. We propose abstraction-based approaches to solve both classes of problems. We…

Systems and Control · Computer Science 2011-06-17 Antoine Girard

We study the problem of synthesizing a controller to satisfy a complex task in the presence of sensor faults and attacks. We model the task using Gaussian distribution temporal logic (GDTL), and propose a solution approach that does not…

Systems and Control · Electrical Eng. & Systems 2022-08-23 Luyao Niu , Zhouchi Li , Andrew Clark

While many studies and tools target the basic stabilizability problem of networked control systems (NCS), nowadays modern systems require more sophisticated objectives such as those expressed as formulae in linear temporal logic or as…

Systems and Control · Computer Science 2018-06-27 Mahmoud Khaled , Matthias Rungger , Majid Zamani

This paper proposes a method to synthesise controllers for cyber-physical systems such that the controlled systems satisfy specifications given as linear temporal logic formulas. The focus is on systems with disturbance, where future states…

Systems and Control · Electrical Eng. & Systems 2022-05-30 Jonas Krook , Robi Malik , Sahar Mohajerani , Martin Fabian

There are spatio-temporal rules that dictate how robots should operate in complex environments, e.g., road rules govern how (self-driving) vehicles should behave on the road. However, seamlessly incorporating such rules into a robot control…

Robotics · Computer Science 2022-02-07 Karen Leung , Marco Pavone

This paper is concerned with a compositional approach for constructing both infinite (reduced-order models) and finite abstractions (a.k.a. finite Markov decision processes (MDPs)) of large-scale interconnected discrete-time stochastic…

Systems and Control · Computer Science 2020-02-17 Abolfazl Lavaei , Sadegh Soudjani , Majid Zamani

In this paper, we develop a compositional approach to abstraction and safety synthesis for a general class of discrete time nonlinear systems. Our approach makes it possible to define a symbolic abstraction by composing a set of symbolic…

Systems and Control · Computer Science 2021-04-09 Pierre-Jean Meyer , Antoine Girard , Emmanuel Witrant

Most algorithms for the synthesis of reactive systems focus on the construction of finite-state machines rather than actual programs. This often leads to badly structured, unreadable code. In this paper, we present a bounded synthesis…

Formal Languages and Automata Theory · Computer Science 2018-07-25 Carsten Gerstacker , Felix Klein , Bernd Finkbeiner

The abstraction of dynamical systems is a powerful tool that enables the design of feedback controllers using a correct-by-design framework. We investigate a novel scheme to obtain data-driven abstractions of discrete-time stochastic…

Systems and Control · Electrical Eng. & Systems 2024-04-15 Rudi Coppola , Andrea Peruffo , Licio Romao , Alessandro Abate , Manuel Mazo

In this paper, a new control scheme, called as additive-decomposition-based tracking control, is proposed to solve the output feedback tracking problem for a class of systems with measurable nonlinearities and unknown disturbances. By the…

Adaptation and Self-Organizing Systems · Physics 2020-03-10 Quan Quan , Kai-Yuan Cai , Hai Lin

Reactive synthesis is an automatic way to translate a human intention expressed in some logic into a system of some kind. This thesis has two parts, devoted to logic and to systems. In Part I, we develop two new approaches to CTL*…

Logic in Computer Science · Computer Science 2018-08-29 Ayrat Khalimov

In this paper, we propose a compositional approach for the construction of finite abstractions (a.k.a. finite Markov decision processes (MDPs)) for networks of discrete-time stochastic control subsystems that are not necessarily…

Systems and Control · Electrical Eng. & Systems 2020-02-12 Abolfazl Lavaei , Sadegh Soudjani , Majid Zamani

Autonomous systems often have complex and possibly unknown dynamics due to, e.g., black-box components. This leads to unpredictable behaviors and makes control design with performance guarantees a major challenge. This paper presents a…

Systems and Control · Electrical Eng. & Systems 2022-03-10 John Jackson , Luca Laurenti , Eric Frew , Morteza Lahijanian
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