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Given a Markov decision process (MDP) and a linear-time ($\omega$-regular or LTL) specification, the controller synthesis problem aims to compute the optimal policy that satisfies the specification. More recently, problems that reason over…

Systems and Control · Electrical Eng. & Systems 2022-02-08 Alvaro Velasquez , Ismail Alkhouri , Andre Beckus , Ashutosh Trivedi , George Atia

The paper presents a novel approach to synthesize robust controllers for nonlinear systems along perturbed trajectories. The approach linearizes the system with respect to a reference trajectory. In contrast to existing methods rooted in…

Systems and Control · Electrical Eng. & Systems 2025-07-08 Felix Biertümpfel , Peter Seiler , Harald Pfifer

General purpose correct-by-construction synthesis methods are limited to systems with low dimensionality or simple specifications. In this work we consider highly symmetrical counting problems and exploit the symmetry to synthesize provably…

Systems and Control · Computer Science 2018-07-11 Petter Nilsson , Necmiye Ozay

Formal control synthesis approaches over stochastic systems have received significant attention in the past few years, in view of their ability to provide provably correct controllers for complex logical specifications in an automated…

Systems and Control · Computer Science 2016-02-04 Majid Zamani , Ilya Tkachev , Alessandro Abate

We present a sound and automated approach to synthesize safe digital feedback controllers for physical plants represented as linear, time invariant models. Models are given as dynamical equations with inputs, evolving over a continuous…

An emerging and challenging area in mathematical control theory called Ensemble Control encompasses a class of problems that involves the guidance of an uncountably infinite collection of structurally identical dynamical systems, which are…

Optimization and Control · Mathematics 2012-05-29 Anatoly Zlotnik , Jr-Shin Li

The goal of logical controller synthesis is to automatically compute a control strategy that regulates the discrete, event-driven behavior of a given plant s.t. a temporal logic specification holds over all remaining traces. Standard…

Logic in Computer Science · Computer Science 2025-01-31 Bernd Finkbeiner , Niklas Metzger , Satya Prakash Nayak , Anne-Kathrin Schmuck

In this paper, we present a provably correct controller synthesis approach for switched stochastic control systems with metric temporal logic (MTL) specifications with provable probabilistic guarantees. We first present the stochastic…

Systems and Control · Electrical Eng. & Systems 2021-03-29 Zhe Xu , Yichen Zhang

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 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

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 address the safety verification and synthesis problems for real-time systems. We introduce real-time programs that are made of instructions that can perform assignments to discrete and real-valued variables. They are general enough to…

Formal Languages and Automata Theory · Computer Science 2020-07-24 Franck Cassez , Peter Gjøl Jensen , Kim Guldstrand Larsen

Reliable and secure operation of power systems becomes increasingly challenging as the share of volatile generation rises, leading to largely changing dynamics. Typically, the architecture and structure of controllers in power systems, such…

Systems and Control · Electrical Eng. & Systems 2020-05-06 A. Mesanovic , U. Münz , A. Szabo , M. Mangold , J. Bamberger , M. Metzger , C. Heyde , R. Krebs , R. Findeisen

The verification and validation of cyber-physical systems is known to be a difficult problem due to the different modeling abstractions used for control components and for software components. A recent trend to address this difficulty is to…

Logic in Computer Science · Computer Science 2010-10-28 Pritam Roy , Paulo Tabuada , Rupak Majumdar

The purpose of unitary synthesis is to find a gate sequence that optimally approximates a target unitary transformation. A new synthesis approach, called probabilistic synthesis, has been introduced, and its superiority has been…

Quantum Physics · Physics 2024-05-03 Seiseki Akibue , Go Kato , Seiichiro Tani

Quality control of assembly processes is essential in manufacturing to ensure not only the quality of individual components but also their proper integration into the final product. To assist in this matter, automated assembly control using…

Computer Vision and Pattern Recognition · Computer Science 2025-09-17 Jonas Werheid , Shengjie He , Aymen Gannouni , Anas Abdelrazeq , Robert H. Schmitt

When designing controllers for large-scale systems, the architectural aspects of the controller such as the placement of actuators, sensors, and the communication links between them can no longer be taken as given. The task of designing…

Optimization and Control · Mathematics 2015-08-04 Nikolai Matni , Venkat Chandrasekaran

Synthesis is a particularly challenging problem for concurrent programs. At the same time it is a very promising approach, since concurrent programs are difficult to get right, or to analyze with traditional verification techniques. This…

Formal Languages and Automata Theory · Computer Science 2015-06-09 Anca Muscholl

The complexity of software in embedded systems has increased significantly over the last years so that software verification now plays an important role in ensuring the overall product quality. In this context, SAT-based bounded model…

Software Engineering · Computer Science 2009-11-20 Lucas Cordeiro , Bernd Fischer , Joao Marques-Silva

Formal methods apply algorithms based on mathematical principles to enhance the reliability of systems. It would only be natural to try to progress from verification, model checking or testing a system against its formal specification into…

Software Engineering · Computer Science 2014-02-28 Gal Katz , Doron Peled