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In the discrete modeling approach for hybrid control systems, the continuous plant is reduced to a discrete event approximation, called the DES-plant, that is governed by a discrete event system, representing the controller. The…

Optimization and Control · Mathematics 2017-07-27 Virginia Ecaterina Oltean

A non-deterministic recursion scheme recognizes a language of finite trees. This very expressive model can simulate, among others, higher-order pushdown automata with collapse. We show decidability of the diagonal problem for schemes. This…

Formal Languages and Automata Theory · Computer Science 2016-05-03 Lorenzo Clemente , Paweł Parys , Sylvain Salvati , Igor Walukiewicz

An automaton is history-deterministic if its nondeterminism can be resolved on the fly, only using the prefix of the word read so far. This mild form of nondeterminism has attracted particular attention for its applications in synthesis…

Formal Languages and Automata Theory · Computer Science 2026-05-28 Udi Boker , Thomas A. Henzinger , Karoliina Lehtinen , Keya Prakash

Biological motor control provides highly effective solutions to difficult control problems in spite of the complexity of the plant and the significant delays in sensory feedback . Such delays are expected to lead to non trivial stability…

Optimization and Control · Mathematics 2009-09-15 Dmitry Volkinshtein , Ron Meir

We solve a generalized version of Church's Synthesis Problem where a play is given by a sequence of natural numbers rather than a sequence of bits; so a play is an element of the Baire space rather than of the Cantor space. Two players…

Computer Science and Game Theory · Computer Science 2016-08-03 Benedikt Brütsch , Wolfgang Thomas

Motivated by the success of bounded model checking framework for finite state machines, Ouaknine and Worrell proposed a time-bounded theory of real-time verification by claiming that restriction to bounded-time recovers decidability for…

Logic in Computer Science · Computer Science 2014-08-18 Shankara Narayanan Krishna , Lakshmi Manasa , Ashutosh Trivedi

In this paper, we present a method for optimal control synthesis of a plant that interacts with a set of agents in a graph-like environment. The control specification is given as a temporal logic statement about some properties that hold at…

Robotics · Computer Science 2012-09-06 Alphan Ulusoy , Tichakorn Wongpiromsarn , Calin Belta

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

Modern control is implemented with digital microcontrollers, embedded within a dynamical plant that represents physical components. We present a new algorithm based on counter-example guided inductive synthesis that automates the design of…

Systems and Control · Computer Science 2017-02-17 Alessandro Abate , Iury Bessa , Dario Cattaruzza , Lucas Cordeiro , Cristina David , Pascal Kesseli , Daniel Kroening

We position Turing's result regarding the undecidability of the halting problem as a result about programs rather than machines. The mere requirement that a program of a certain kind must solve the halting problem for all programs of that…

Logic in Computer Science · Computer Science 2010-10-19 J. A. Bergstra , C. A. Middelburg

Controller synthesis, including reset controller, feedback controller, and switching logic controller, provides an essential mechanism to guarantee the correctness and reliability of hybrid systems in a correct-by-construction manner.…

Systems and Control · Electrical Eng. & Systems 2023-09-13 Jiang Liu , Han Su , Yunjun Bai , Bin Gu , Bai Xue , Mengfei Yang , Naijun Zhan

Two-player (antagonistic) games on (possibly stochastic) graphs are a prevalent model in theoretical computer science, notably as a framework for reactive synthesis. Optimal strategies may require randomisation when dealing with inherently…

Computer Science and Game Theory · Computer Science 2024-11-25 James C. A. Main , Mickael Randour

We consider the problem of controlling a set of dynamically decoupled plants where the plants' subcontrollers communicate with each other according to a fixed and known network topology. We assume the communication to be instantaneous but…

Systems and Control · Electrical Eng. & Systems 2020-09-04 Mruganka Kashyap , Laurent Lessard

Estimating causal effects from observational data (at either an individual -- or a population -- level) is critical for making many types of decisions. One approach to address this task is to learn decomposed representations of the…

Machine Learning · Computer Science 2021-11-15 Negar Hassanpour , Russell Greiner

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

Humans and animals developed a sophisticated motor control apparatus and there is much evidence that it has a modular structure. The modularity offers a range of benefits, e.g. ability to learn dissociable motion styles without interference…

Robotics · Computer Science 2016-05-20 Kirill Makukhin

A natural way to measure the power of a distributed-computing model is to characterize the set of tasks that can be solved in it. %the model. In general, however, the question of whether a given task can be solved in a given model is…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-11-23 Carole Delporte-Gallet , Hugues Fauconnier , Eli Gafni , Petr Kuznetsov

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

Energy games are a well-studied class of 2-player turn-based games on a finite graph where transitions are labeled with integer vectors which represent changes in a multidimensional resource (the energy). One player tries to keep the…

Computer Science and Game Theory · Computer Science 2014-05-06 Parosh Aziz Abdulla , Mohamed Faouzi Atig , Piotr Hofman , Richard Mayr , K. Narayan Kumar , Patrick Totzke

Without further ado, we present the P_3-game. The P_3-game is decidable for elementary classes of graphs such as paths and cycles. From an algorithmic point of view, the connected P_3-game is fascinating. We show that the connected P_3-game…

Discrete Mathematics · Computer Science 2016-08-19 Wing-Kai Hon , Ton Kloks , Fu-Hong Liu , Hsiang-Hsuan Liu , Tao-Ming Wang
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