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In this invited contribution, we propose a comprehensive introduction to game theory applied in computer aided synthesis. In this context, we give some classical results on two-player zero-sum games and then on multi-player non zero-sum…

Computer Science and Game Theory · Computer Science 2017-06-05 Véronique Bruyère

Recently, interest has increased in applying reactive synthesis to richer-than-Boolean domains. A major (undecidable) challenge in this area is to establish when certain repeating behaviour terminates in a desired state when the number of…

Logic in Computer Science · Computer Science 2025-12-04 Shaun Azzopardi , Luca Di Stefano , Nir Piterman , Gerardo Schneider

In this paper we advocate for Isaacs' method for the solution of differential games to be applied to the solution of optimal control problems. To make the argument, the vehicle employed is Pontryagin's canonical optimal control example,…

Optimization and Control · Mathematics 2023-03-31 Meir Pachter , Isaac E Weintraub

We present a compositional approach to controller synthesis of discrete event system controllers with linear temporal logic (LTL) goals. We exploit the modular structure of the plant to be controlled, given as a set of labelled transition…

Software Engineering · Computer Science 2025-11-06 Hernan Gagliardi , Victor Braberman , Sebastian Uchitel

Controller synthesis is a formal method approach for automatically generating Labeled Transition System (LTS) controllers that satisfy specified properties. The efficiency of the synthesis process, however, is critically dependent on…

Artificial Intelligence · Computer Science 2025-12-18 Toshihide Ubukata , Enhong Mu , Takuto Yamauchi , Mingyue Zhang , Jialong Li , Kenji Tei

This article surveys the System Level Synthesis framework, which presents a novel perspective on constrained robust and optimal controller synthesis for linear systems. We show how SLS shifts the controller synthesis task from the design of…

Optimization and Control · Mathematics 2019-04-04 James Anderson , John C. Doyle , Steven Low , Nikolai Matni

We consider the problem of synthesizing safe-by-design control strategies for semi-autonomous systems. Our aim is to address situations when safety cannot be guaranteed solely by the autonomous, controllable part of the system and a certain…

Systems and Control · Computer Science 2016-12-15 Jana Tumova , Dimos V. Dimarogonas

Autonomous agents often operate in uncertain environments where their decisions are made based on beliefs over states of targets. We are interested in controller synthesis for complex tasks defined over belief spaces. Designing such…

Systems and Control · Computer Science 2015-10-30 Chanyeol Yoo , Calin Belta

We present a controller synthesis algorithm for a discrete time reach-avoid problem in the presence of adversaries. Our model of the adversary captures typical malicious attacks envisioned on cyber-physical systems such as sensor spoofing,…

Systems and Control · Computer Science 2015-01-21 Zhenqi Huang , Yu Wang , Sayan Mitra , Geir Dullerud

High level declarative constraints provide a powerful (and popular) way to define and construct control policies; however, most synthesis algorithms do not support specifying the degree of randomness (unpredictability) of the resulting…

Robotics · Computer Science 2021-06-30 Marcell Vazquez-Chanlatte , Sebastian Junges , Daniel J. Fremont , Sanjit Seshia

System Level Synthesis (SLS) parametrization facilitates controller synthesis for large, complex, and distributed systems by incorporating system level constraints (SLCs) into a convex SLS problem and mapping its solution to stable…

Systems and Control · Electrical Eng. & Systems 2021-01-14 Shih-Hao Tseng , Carmen {Amo Alonso} , SooJean Han

Reactive synthesis is a class of methods to construct a provably-correct control system, referred to as a robot, with respect to a temporal logic specification in the presence of a dynamic and uncontrollable environment. This is achieved by…

Formal Languages and Automata Theory · Computer Science 2020-04-24 Abhishek N. Kulkarni , Jie Fu

This paper proposes a framework for automatic formal controller synthesis for general hybrid systems with a subset of safety and reachability specifications. The framework uses genetic programming to automatically co-synthesize controllers…

Systems and Control · Electrical Eng. & Systems 2020-09-16 Cees F. Verdier , Manuel Mazo

Most specification languages express only qualitative constraints. However, among two implementations that satisfy a given specification, one may be preferred to another. For example, if a specification asks that every request is followed…

Logic in Computer Science · Computer Science 2013-05-29 Roderick Bloem , Krishnendu Chatterjee , Thomas A. Henzinger , Barbara Jobstmann

Cyber-physical systems (CPS) are systems that interact with the physical world via sensors and actuators. In such a system, the reading of a sensor represents measures of a physical quantity, and sensor values are often reals ranged over…

Software Engineering · Computer Science 2013-07-16 Chih-Hong Cheng , Edward A. Lee

Prior work on automatic control synthesis for cyber-physical systems under logical constraints has primarily focused on environmental disturbances or modeling uncertainties, however, the impact of deliberate and malicious attacks has been…

Systems and Control · Electrical Eng. & Systems 2019-07-25 Luyao Niu , Andrew Clark

Generalized Reactivity(1) (GR(1)) synthesis is a reactive synthesis approach in which the specification is split into two parts: a symbolic game graph, describing the safe transitions of a system, a liveness specification in a subset of…

Formal Languages and Automata Theory · Computer Science 2024-02-06 Rüdiger Ehlers , Ayrat Khalimov

Petri games are a multi-player game model for the synthesis of distributed systems with multiple concurrent processes based on Petri nets. The processes are the players in the game represented by the token of the net. The players are…

Computer Science and Game Theory · Computer Science 2021-12-09 Manuel Gieseking , Nick Würdemann

Synthesis automatically constructs an implementation that satisfies a given logical specification. In this paper, we study the live synthesis problem, where the synthesized implementation replaces an already running system. In addition to…

Logic in Computer Science · Computer Science 2021-07-05 Bernd Finkbeiner , Felix Klein , Niklas Metzger

Stochastic games are a convenient formalism for modelling systems that comprise rational agents competing or collaborating within uncertain environments. Probabilistic model checking techniques for this class of models allow us to formally…

Logic in Computer Science · Computer Science 2022-11-14 Marta Kwiatkowska , Gethin Norman , David Parker , Gabriel Santos
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