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The controllability problem for nonlinear control systems with one-dimensional control of the form $ dx/dt=a(x)+B(x)\beta(x,u)$ is considered, where $a(x)$ is an $n$-dimensional vector function, $B(x)$ is an $(n\times m)$-matrix, and…

Optimization and Control · Mathematics 2013-10-14 V. I. Korobov , K. V. Sklyar , V. O. Skoryk

We consider the distributed control synthesis problem for systems with locks. The goal is to find local controllers so that the global system does not deadlock. With no restriction this problem is undecidable even for three processes each…

Logic in Computer Science · Computer Science 2025-09-10 Hugo Gimbert , Corto Mascle , Anca Muscholl , Igor Walukiewicz

In this paper we consider the supervisory control problem through language equation solving. The equation solving approach allows to deal with more general topologies and to find a largest supervisor which can be used as a reservoir for…

Other Computer Science · Computer Science 2009-12-08 Victor Bushkov , Nina Yevtushenko , Tiziano Villa

We consider the problem of controller synthesis under imperfect information in a setting where there is a set of available observable predicates equipped with a cost function. The problem that we address is the computation of a subset of…

Systems and Control · Computer Science 2012-07-06 Peter Bulychev , Franck Cassez , Alexandre David , Kim G. Larsen , Jean-Francois Raskin , Pierre-Alain Reynier

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 the supervisory control framework of discrete-event systems (DES) with infinite behavior initiated by Thistle and Wonham, a supervisor satisfying the minimal acceptable specification and the maximal legal specification is synthesized.…

Systems and Control · Electrical Eng. & Systems 2021-03-16 Ting Jiao , Renyuan Zhang , Kai Cai

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

In this paper, we introduce the problem of synthesizing optimal controllers for discrete event systems and we propose a procedure for solving this problem, where the method and specifications are represented by finite state automata and…

Formal Languages and Automata Theory · Computer Science 2011-02-03 Jean Marie Moanda Ndeko , Junior Jugis Bakola Mongo

This paper proposes a language for describing reactive synthesis problems that integrates imperative and declarative elements. The semantics is defined in terms of two-player turn-based infinite games with full information. Currently,…

Logic in Computer Science · Computer Science 2016-02-04 Ioannis Filippidis , Richard M. Murray , Gerard J. Holzmann

We present a controller synthesis algorithm for reach-avoid problems for piecewise linear discrete-time systems. Our algorithm relies on SMT solvers and in this paper we focus on piecewise constant control strategies. Our algorithm…

Systems and Control · Computer Science 2015-09-16 Zhenqi Huang , Yu Wang , Sayan Mitra , Geir E. Dullerud , Swarat Chaudhuri

We consider the problem of computing the maximal probability of satisfying an omega-regular specification for stochastic nonlinear systems evolving in discrete time. The problem reduces, after automata-theoretic constructions, to finding…

Systems and Control · Electrical Eng. & Systems 2022-09-30 Rupak Majumdar , Kaushik Mallik , Anne-Kathrin Schmuck , Sadegh Soudjani

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 discrete-event system control, the worst-case time complexity for computing a system's observer is exponential in the number of that system's states. This results in practical difficulties since some problems require calculating multiple…

Systems and Control · Electrical Eng. & Systems 2022-09-22 Richard Hugh Moulton , Behnam Behinaein Hamgini , Zahra Abedi Khouzani , Rômulo Meira-Góes , Fei Wang , Karen Rudie

Existing approaches to the synthesis of reactive systems typically involve the construction of transition systems such as Mealy automata. However, in order to obtain a succinct representation of the desired system, structured programs can…

Logic in Computer Science · Computer Science 2013-03-05 Benedikt Brütsch

A popular method for modelling reactive systems is to use $\omega$-regular languages. These languages can be represented as nondeterministic B\"uchi automata (NBAs) or $\omega$-regular expressions. Existing methods synthesise expressions…

Formal Languages and Automata Theory · Computer Science 2024-06-13 Charles Pert , Dalal Alrajeh , Alessandra Russo

This paper proposes a finitely terminating algorithm to solve reach-and-stay control problems for nonlinear systems. The algorithm is guaranteed to return a control strategy if the specification is robustly realizable. Such a feature is…

Optimization and Control · Mathematics 2020-04-17 Yinan Li , Jun Liu

In this paper, we consider supervisory control of stochastic discrete event systems (SDESs) under linear temporal logic specifications. Applying the bounded synthesis, we reduce the supervisor synthesis into a problem of satisfying a safety…

Systems and Control · Electrical Eng. & Systems 2022-04-12 Ryohei Oura , Toshimitsu Ushio , Ami Sakakibara

In reactive synthesis, the goal is to automatically generate an implementation from a specification of the reactive and non-terminating input/output behaviours of a system. Specifications are usually modelled as logical formulae or automata…

Formal Languages and Automata Theory · Computer Science 2023-06-22 Léo Exibard , Emmanuel Filiot , Pierre-Alain Reynier

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

We propose a machine learning framework to synthesize reactive controllers for systems whose interactions with their adversarial environment are modeled by infinite-duration, two-player games over (potentially) infinite graphs. Our…

Computer Science and Game Theory · Computer Science 2020-11-03 Daniel Neider , Oliver Markgraf