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This paper presents a systematic method for synthesizing a Control Barrier Function (CBF) that encodes predictive information into a CBF. Unlike other methods, the synthesized CBF can account for changes and time-variations in the…

Systems and Control · Electrical Eng. & Systems 2025-04-23 Adrian Wiltz , Dimos V. Dimarogonas

In this paper, we propose an approach to controller synthesis for a class of constrained nonlinear systems. It is based on the use of a hybridization, that is a hybrid abstraction of the nonlinear dynamics. This abstraction is defined on a…

Systems and Control · Computer Science 2011-09-13 Antoine Girard , Samuel Martin

In many synthesis problems, it can be essential to generate implementations which not only satisfy functional constraints but are also randomized to improve variety, robustness, or unpredictability. The recently-proposed framework of…

Logic in Computer Science · Computer Science 2022-06-07 Andreas Gittis , Eric Vin , Daniel J. Fremont

Program synthesis is the task of automatically generating a program consistent with a given specification. A natural way to specify programs is to provide examples of desired input-output behavior, and many current program synthesis…

Machine Learning · Computer Science 2020-07-28 Alexander Suh , Yuval Timen

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 formal synthesis of reactive systems an implementation of a system is automatically constructed from its formal specification. The great advantage of synthesis is that the resulting implementation is correct by construction; therefore…

Logic in Computer Science · Computer Science 2019-01-04 Hadas Kress-Gazit , Hazem Torfah

This tutorial paper presents recent work of the authors that extends the theory of Control Barrier Functions (CBFs) to address practical challenges in the synthesis of safe controllers for autonomous systems and robots. We present novel…

Optimization and Control · Mathematics 2023-12-29 Kunal Garg , James Usevitch , Joseph Breeden , Mitchell Black , Devansh Agrawal , Hardik Parwana , Dimitra Panagou

The paper addresses the issue of reliability of complex embedded control systems in the safety-critical environment. In this paper, we propose a novel approach to design controller that (i) guarantees the safety of nonlinear physical…

Systems and Control · Computer Science 2018-12-11 Pushpak Jagtap , Fardin Abdi , Matthias Rungger , Majid Zamani , Marco Caccamo

In this paper, we present the synthesis of secure-by-construction controllers that address safety and security properties simultaneously in cyber-physical systems. Our focus is on studying a specific security property called opacity, which…

Systems and Control · Electrical Eng. & Systems 2024-02-20 Bingzhuo Zhong , Siyuan Liu , Marco Caccamo , Majid Zamani

Control Lyapunov functions (CLFs) and control barrier functions (CBFs) are widely used tools for synthesizing controllers subject to stability and safety constraints. Paired with online optimization, they provide stabilizing control actions…

Robotics · Computer Science 2022-10-04 Hongkai Dai , Frank Permenter

Program verification and synthesis frameworks that allow one to customize the language in which one is interested typically require the user to provide a formally defined semantics for the language. Because writing a formal semantics can be…

Programming Languages · Computer Science 2024-09-10 Jiangyi Liu , Charlie Murphy , Anvay Grover , Keith J. C. Johnson , Thomas Reps , Loris D'Antoni

This paper focuses on synthesizing control policies for discrete-time stochastic control systems together with a lower bound on the probability that the systems satisfy the complex temporal properties. The desired properties of the system…

Systems and Control · Electrical Eng. & Systems 2020-08-07 Pushpak Jagtap , Sadegh Soudjani , Majid Zamani

This paper presents scalable controller synthesis methods for heterogeneous and partially heterogeneous systems. First, heterogeneous systems composed of different subsystems that are interconnected over a directed graph are considered.…

Systems and Control · Electrical Eng. & Systems 2020-04-13 Yvonne R. Stürz , Annika Eichler , Roy S. Smith

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

In this paper, we consider the problem of synthesizing low-complexity controllers for incrementally stable switched systems. For that purpose, we establish a new approximation result for the computation of symbolic models that are…

Systems and Control · Computer Science 2013-02-12 Antoine Girard

We present a new method for the automated synthesis of safe and robust Proportional-Integral-Derivative (PID) controllers for stochastic hybrid systems. Despite their widespread use in industry, no automated method currently exists for…

Systems and Control · Computer Science 2017-09-08 Fedor Shmarov , Nicola Paoletti , Ezio Bartocci , Shan Lin , Scott A. Smolka , Paolo Zuliani

This paper focuses on automated synthesis of divide-and-conquer parallelism, which is a common parallel programming skeleton supported by many cross-platform multithreaded libraries. The challenges of producing (manually or automatically) a…

Programming Languages · Computer Science 2017-01-31 Azadeh Farzan , Victor Nicolet

There has been significant recent interest in devising verification techniques for learning-enabled controllers (LECs) that manage safety-critical systems. Given the opacity and lack of interpretability of the neural policies that govern…

Systems and Control · Electrical Eng. & Systems 2022-10-12 Zikang Xiong , Suresh Jagannathan

This article presents resource-guided synthesis, a technique for synthesizing recursive programs that satisfy both a functional specification and a symbolic resource bound. The technique is type-directed and rests upon a novel type system…

Programming Languages · Computer Science 2019-04-19 Tristan Knoth , Di Wang , Nadia Polikarpova , Jan Hoffmann

Many correct-by-construction control synthesis methods suffer from the curse of dimensionality. Motivated by this challenge, we seek to reduce a correct-by-construction control synthesis problem to subproblems of more modest dimension. As a…

Systems and Control · Computer Science 2015-10-13 Petter Nilsson , Necmiye Ozay