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This paper presents a compositional framework for the construction of symbolic models for a network composed of a countably infinite number of finite-dimensional discrete-time control subsystems. We refer to such a network as infinite…

Systems and Control · Electrical Eng. & Systems 2021-10-29 Siyuan Liu , Navid Noroozi , Majid Zamani

As control systems grow in complexity, abstraction-based methods have become essential for designing controllers with formal guarantees. However, a key limitation of these methods is their reliance on discrete-time models, typically…

Systems and Control · Electrical Eng. & Systems 2025-09-18 Adrien Janssens , Adrien Banse , Julien Calbert , Raphaël M. Jungers

In this work, we propose a compositional scheme for the safety controller synthesis of interconnected discrete-time stochastic systems with Markovian switching signals. Our proposed approach is based on a notion of so-called control storage…

Systems and Control · Electrical Eng. & Systems 2022-08-09 Abolfazl Lavaei , Emilio Frazzoli

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 work, we propose a compositional framework for the verification of approximate initial-state opacity for networks of discrete-time switched systems. The proposed approach is based on a notion of approximate initial-state…

Systems and Control · Electrical Eng. & Systems 2021-09-27 Siyuan Liu , Abdalla Swikir , Majid Zamani

Complex systems of systems (SoS) are characterized by multiple interconnected subsystems. Typically, each subsystem is designed and analyzed using methodologies and formalisms that are specific to the particular subsystem model of…

Logic in Computer Science · Computer Science 2018-02-12 Alberto Speranzon , David I. Spivak , Srivatsan Varadarajan

Sufficiently accurate finite state models, also called symbolic models or discrete abstractions, allow one to apply fully automated methods, originally developed for purely discrete systems, to formally reason about continuous and hybrid…

Optimization and Control · Mathematics 2011-11-03 Gunther Reißig

Abstracting from a low level to a more explanatory high level of description, and ideally while preserving causal structure, is fundamental to scientific practice, to causal inference problems, and to robust, efficient and interpretable AI.…

Logic in Computer Science · Computer Science 2026-02-19 Robin Lorenz , Sean Tull

Abstraction-based techniques are an attractive approach for synthesizing correct-by-construction controllers to satisfy high-level temporal requirements. A main bottleneck for successful application of these techniques is the memory…

Systems and Control · Electrical Eng. & Systems 2023-07-11 Rupak Majumdar , Mahmoud Salamati , Sadegh Soudjani

This paper considers the problem of decentralized analysis and control synthesis to verify and ensure properties like stability and dissipativity of a large-scale networked system comprised of linear subsystems interconnected in an…

Systems and Control · Electrical Eng. & Systems 2022-09-05 Shirantha Welikala , Hai Lin , Panos Antsaklis

We are entering a new era in which software systems are becoming more and more complex and larger. So, the composition of such systems is becoming infeasible by manual means. To address this challenge, self-organising software models…

Formal Languages and Automata Theory · Computer Science 2025-08-27 Damian Arellanes

In this paper, we provide a compositional methodology for constructing symbolic models for networks of discrete-time switched systems. We first define a notion of so-called augmented-storage functions to relate switched subsystems and their…

Systems and Control · Computer Science 2019-05-31 Abdalla Swikir , Majid Zamani

Despite many advances that enable the application of model checking techniques to the verification of large systems, the state-explosion problem remains the main challenge for scalability. Compositional verification addresses this challenge…

Logic in Computer Science · Computer Science 2013-09-23 Dimitra Giannakopoulou , Corina S. Păsăreanu

In this paper, we provide a compositional framework for synthesizing hybrid controllers for interconnected discrete-time control systems enforcing specifications expressed by co-Buchi automata. In particular, we first decompose the given…

Systems and Control · Electrical Eng. & Systems 2020-02-04 Pushpak Jagtap , Abdalla Swikir , Majid Zamani

The goal of this report is to define abstractions for multi-agent systems with feedback interconnection in their dynamics. In the proposed decentralized framework, we specify a finite or countable transition system for each agent which only…

Systems and Control · Computer Science 2016-08-24 Dimitris Boskos , Dimos V. Dimarogonas

Scheduling communication traffic in networks of event-triggered control (ETC) systems is challenging, as their sampling times are unknown, hindering application of ETC in networks. In previous work, finite-state abstractions were created,…

Systems and Control · Electrical Eng. & Systems 2026-02-18 Giannis Delimpaltadakis , Manuel Mazo

We consider abstraction-based design of output-feedback controllers for non-linear dynamical systems against specifications over state-based predicates in linear-time temporal logic (LTL). In this context, our contribution is two-fold: (I)…

Systems and Control · Electrical Eng. & Systems 2021-04-23 Anne-Kathrin Schmuck , Mehrdad Zareian

Abstraction is a powerful idea widely used in science, to model, reason and explain the behavior of systems in a more tractable search space, by omitting irrelevant details. While notions of abstraction have matured for deterministic…

Artificial Intelligence · Computer Science 2020-01-14 Vaishak Belle

We propose an efficient symbolic control synthesis algorithm for equivariant continuous-time dynamical systems to satisfy reach-avoid specifications. The algorithm exploits dynamical symmetries to construct lean abstractions to avoid…

Systems and Control · Electrical Eng. & Systems 2025-03-04 Hussein Sibai , Sacha Huriot , Tyler Martin , Murat Arcak

Symbolic models have recently spurred the interest of the research community because they offer a correct-by-design approach to the control of embedded and cyber-physical systems. In this paper we address construction of symbolic models for…

Optimization and Control · Mathematics 2014-08-15 Giordano Pola , Pierdomenico Pepe , Maria Domenica Di Benedetto