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The decidability of the distributed version of the Ramadge and Wonham controller synthesis problem,where both the plant and the controllers are modeled as asynchronous automataand the controllers have causal memoryis a challenging open…

Formal Languages and Automata Theory · Computer Science 2017-08-07 Hugo Gimbert

In distributed synthesis, we generate a set of process implementations that, together, accomplish an objective against all possible behaviors of the environment. A lot of recent work has focussed on systems with causal memory, i.e., sets of…

Logic in Computer Science · Computer Science 2022-06-01 Raven Beutner , Bernd Finkbeiner , Jesko Hecking-Harbusch

In the synthesis of distributed systems, we automate the development of distributed programs and hardware by automatically deriving correct implementations from formal specifications. For synchronous distributed systems, the synthesis…

Logic in Computer Science · Computer Science 2021-10-19 Bernd Finkbeiner , Manuel Gieseking , Jesko Hecking-Harbusch , Ernst-Rüdiger Olderog

We propose a new model of a distributed game, called an ATS game, which is played on a non-deterministic asynchronous transition system -- a natural distributed finite-state device working on Mazurkiewicz traces. This new…

Formal Languages and Automata Theory · Computer Science 2024-10-18 Bharat Adsul , Nehul Jain

We consider the task of controlling in a distributed way a Zielonka asynchronous automaton. Every process of a controller has access to its causal past to determine the next set of actions it proposes to play. An action can be played only…

Formal Languages and Automata Theory · Computer Science 2013-02-18 Blaise Genest , Hugo Gimbert , Anca Muscholl , Igor Walukiewicz

Infinite games with imperfect information are known to be undecidable unless the information flow is severely restricted. One fundamental decidable case occurs when there is a total ordering among players, such that each player has access…

Computer Science and Game Theory · Computer Science 2016-07-19 Dietmar Berwanger , Anup Basil Mathew , Marie van den Bogaard

We will consider exact controllability of the distributed system governed by the wave equation with memory. It will be proved that this mechanical system can be driven to rest in finite time, the absolute value of the distributed control…

Analysis of PDEs · Mathematics 2019-11-19 Igor Romanov , Alexey Shamaev

Classic distributed control problems have an interesting dichotomy: they are either trivial or undecidable. If we allow the controllers to fully synchronize, then synthesis is trivial. In this case, controllers can effectively act as a…

Logic in Computer Science · Computer Science 2011-11-15 Doron Peled , Sven Schewe

We study the problem of distributed control of large-scale robotic swarms which can be modeled as continuum densities evolving under the continuity equation. We propose a formalization of distributed controllers as (generally nonlinear)…

Systems and Control · Electrical Eng. & Systems 2026-05-01 Max Emerick , Saroj Prasad Chhatoi , Bassam Bamieh

A control system consists of a plant component and a controller which periodically computes a control input for the plant. We consider systems where the controller is implemented by a feedforward neural network with ReLU activations. The…

Machine Learning · Computer Science 2024-12-10 Christian Schilling , Martin Zimmermann

We introduce a formalism modelling communication of distributed agents strictly in continuous-time. Within this framework, we study the problem of synthesising local strategies for individual agents such that a specified set of goal states…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-01-08 Holger Hermanns , Jan Krčál , Steen Vester

Priced timed games are optimal-cost reachability games played between two players---the controller and the environment---by moving a token along the edges of infinite graphs of configurations of priced timed automata. The goal of the…

Logic in Computer Science · Computer Science 2015-07-22 Shibashis Guha , Shankara Narayanan Krishna , Lakshmi Manasa , Ashutosh Trivedi

The game theoretical approach problem is considered. If goal set is controllability set of auxiliary control system then the original problem can be transformed into the problem of approach "at the moment".

Optimization and Control · Mathematics 2009-02-17 Yurii Averboukh

Large scale systems are forecasted to greatly impact our future lives thanks to their wide ranging applications including cooperative robotics, mobility on demand, resource allocation, supply chain management. While technological…

Optimization and Control · Mathematics 2024-12-20 Dario Paccagnan

We study a generalisation of B\"uchi-Landweber games to the timed setting. The winning condition is specified by a non-deterministic timed automaton, and one of the players can elapse time. We perform a systematic study of synthesis…

Formal Languages and Automata Theory · Computer Science 2026-01-09 Sławomir Lasota , Mathieu Lehaut , Julie Parreaux , Radosław Piórkowski

Shared control is a form of video gaming accessibility support that allows players with disabilities to delegate inaccessible controls to another person. Through interviews involving 14 individuals with lived experience of accessible gaming…

Human-Computer Interaction · Computer Science 2026-04-15 Dragan Ahmetovic , Matteo Manzoni , Filippo Corti , Sergio Mascetti

The paper deals with controllability problem for a distributed system governed by the two-dimensional Gurtin-Pipkin equation. We consider a system with compactly supported distributed control and show that if the memory kernel is a twice…

Analysis of PDEs · Mathematics 2016-03-09 Igor Romanov , Alexey Shamaev

Zero-determinant strategies are memory-one strategies in repeated games which unilaterally enforce linear relations between expected payoffs of players. Recently, the concept of zero-determinant strategies was extended to the class of…

Optimization and Control · Mathematics 2022-09-07 Masahiko Ueda

This paper presents a theory of systemic undecidability, reframing incomputability as a structural property of systems rather than a localized feature of specific functions or problems. We define a notion of causal embedding and prove a…

Logic in Computer Science · Computer Science 2025-09-03 Seth Bulin

Distributed control algorithms are known to reduce overall computation time compared to centralized control algorithms. However, they can result in inconsistent solutions leading to the violation of safety-critical constraints. Inconsistent…

Systems and Control · Electrical Eng. & Systems 2024-11-26 Julius Beerwerth , Maximilian Kloock , Bassam Alrifaee
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