English
Related papers

Related papers: Compositional Abstractions of Interconnected Discr…

200 papers

This paper contains results related to synthesis and presentation of abstract automata by fragments of behaviour and investigates the structure of the classes of finite connected initial output-less automata specified by systems of defining…

Formal Languages and Automata Theory · Computer Science 2017-12-15 Oleksiy Kurganskyy , Alexandra Maximova

We propose a multi-scale approach for computing abstractions of dynamical systems, that incorporates both local and global optimal control to construct a goal-specific abstraction. For a local optimal control problem, we not only design the…

Dynamical Systems · Mathematics 2024-05-13 Julien Calbert , Lucas N. Egidio , Raphaël M. Jungers

This paper studies the construction of symbolic abstractions for nonlinear control systems via feedback refinement relation. Both the delay-free and time-delay cases are addressed. For the delay-free case, to reduce the computational…

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

Regular transition systems (RTS) are a popular formalism for modeling infinite-state systems in general, and parameterised systems in particular. In a CONCUR 22 paper, Esparza et al. introduce a novel approach to the verification of RTS,…

Formal Languages and Automata Theory · Computer Science 2024-07-22 Philipp Czerner , Javier Esparza , Valentin Krasotin , Christoph Welzel-Mohr

We show how geometric methods from the general theory of fractal dimensions and iterated function systems can be deployed to study symbolic dynamics in the zero entropy regime. More precisely, we establish a dimensional characterization of…

Dynamical Systems · Mathematics 2018-12-31 Gabriel Fuhrmann , Maik Gröger

Symbolic models or abstractions are known to be powerful tools for the control design of cyber-physical systems (CPSs) with logic specifications. In this paper, we investigate a novel learning-based approach to the construction of symbolic…

Systems and Control · Electrical Eng. & Systems 2022-08-04 Kazumune Hashimoto , Adnane Saoud , Masako Kishida , Toshimitsu Ushio , Dimos Dimarogonas

In this paper, we provide for the first time an automated, correct-by-construction, controller synthesis scheme for a class of infinite dimensional stochastic systems, namely, retarded jump-diffusion systems. First, we construct finite…

Optimization and Control · Mathematics 2019-11-22 Pushpak Jagtap , Majid Zamani

Structured recursion schemes such as folds and unfolds have been widely used for structuring both functional programs and program semantics. In this context, it has been customary to implement denotational semantics as folds over an…

Programming Languages · Computer Science 2023-03-17 Marco Paviotti , Nicolas Wu

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

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

Stochastic switched systems are a relevant class of stochastic hybrid systems with probabilistic evolution over a continuous domain and control-dependent discrete dynamics over a finite set of modes. In the past few years several different…

Optimization and Control · Mathematics 2014-07-11 Majid Zamani , Alessandro Abate , Antoine Girard

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

The design of decision and control strategies for switched systems typically requires complete knowledge of (i) mathematical models of the subsystems and (ii) restrictions on admissible switches between the subsystems. We propose an active…

Systems and Control · Electrical Eng. & Systems 2021-11-11 Atreyee Kundu

These lecture notes cover basic automata-theoretic concepts and logical formalisms for the modeling and verification of concurrent and distributed systems. Many of these concepts naturally extend the classical automata and logics over…

Logic in Computer Science · Computer Science 2021-10-19 Benedikt Bollig , Paul Gastin

HCI researchers' and practitioners' awareness of intersectionality has been expanding, producing knowledge, recommendations, and prototypes for supporting intersectional populations. However, doing intersectional HCI work is uniquely…

Human-Computer Interaction · Computer Science 2022-01-27 Margaret Burnett , Martin Erwig , Abrar Fallatah , Christopher Bogart , Anita Sarma

This paper presents a fully automated procedure for controller synthesis for a general class of multi-agent systems under coupling constraints. Each agent is modeled with dynamics consisting of two terms: the first one models the coupling…

Systems and Control · Computer Science 2017-03-28 Alexandros Nikou , Shahab Heshmati-alamdari , Christos Verginis , Dimos V. Dimarogonas

This paper studies the synthesis of controllers for discrete-time, continuous state stochastic systems subject to omega-regular specifications using finite-state abstractions. We present a synthesis algorithm for minimizing or maximizing…

Systems and Control · Electrical Eng. & Systems 2020-09-22 Maxence Dutreix , Jeongmin Huh , Samuel Coogan

Abstract separation systems provide a simple general framework in which both tree-shape and high cohesion of many combinatorial structures can be expressed, and their duality proved. Applications range from tangle-type duality and tree…

Combinatorics · Mathematics 2017-04-19 Reinhard Diestel

Temporal abstraction refers to the ability of an agent to use behaviours of controllers which act for a limited, variable amount of time. The options framework describes such behaviours as consisting of a subset of states in which they can…

Machine Learning · Computer Science 2020-01-03 Khimya Khetarpal , Martin Klissarov , Maxime Chevalier-Boisvert , Pierre-Luc Bacon , Doina Precup

We revisit the problem of computing (robust) controlled invariant sets for discrete-time linear systems. Departing from previous approaches, we consider implicit, rather than explicit, representations for controlled invariant sets.…

Optimization and Control · Mathematics 2022-08-10 Tzanis Anevlavis , Zexiang Liu , Necmiye Ozay , Paulo Tabuada